A primatologist believes that rhesus monkeys possess curiosity. She reasons that, if this is true, then they should prefer novel stimulation to repetitive stimulation. An experiment is conducted in which 12 rhesus monkeys are randomly selected from the university colony and taught to press two bars. Pressing bar 1 always produces the same sound, whereas bar 2 produces a novel sound each time it is pressed. After learning to press the bars, the monkeys are tested for 15 minutes, during which they have free access to both bars. The number of presses on each bar during the 15 minutes is recorded. The resulting data are as follows:What is the alternative hypothesis? In this case, assume a nondirectional hypothesis is appropriate because there is insufficient empirical basis to warrant a directional hypothesis. What is the null hypothesis? Using ? = 0.052 tail, what is your conclusion? What error might you be making by your conclusion in part c?
Subject Bar 1 Bar 2
1 20 40
2 18 25
3 24 38
4 14 27
5 5 31
6 26 21
7 15 32
8 29 38
9 15 25
10 9 18
Answers
Answer:
It is statistically significant that mean of difference scores is different from 0
Step-by-step explanation:
Subject Bar 1 Bar 2 Difference
1 20 40 20
2 18 25 7
3 24 38 14
4 14 27 13
5 5 31 29
6 26 21 -5
7 15 32 17
8 29 38 9
9 15 25 10
10 9 18 9
Mean of difference =\(\frac{Sum}{10}=\frac{123}{10}=12.3\)
Standard deviation s =\(\sqrt{\frac{(x_i-\bar{x})^2}{n}}=8.93\)
Null Hypothesis : mean of difference scores is 0 : \(H_0:\mu=0\)
Alternate Hypothesis : mean of difference scores is different from 0 : \(H_a:\mu \neq 0\)
We will use t test for unpaired
\(t = \frac{x-\mu}{\sqrt{\frac{s^2}{n-1}}}\\t = \frac{12.3-0}{\sqrt{\frac{8.93^2}{10-1}}}\\t=4.13\)
Level of significance (two tailed) =\(\alpha = 0.05\)
Degree of freedom = n-1 = 10-1 =9
Using calculator
The p-value is .002559.
p value < α
So ,we reject null hypothesis
So, It is statistically significant that mean of difference scores is different from 0
Related Questions
Find the area of the sector of a circle with diameter 30 feet and an angle of 3Pi/5 radians. Round your answer to four decimal places.
Answers
half the diameter is the radius, so
\(r=15\)now we can calculate the total area of the circle , and then will calculate the area for the angle
\(\begin{gathered} A=\pi\times r^2 \\ A=\pi\times15^2 \\ A=225\pi \end{gathered}\)the area of the circle is 225pi, this is the corresponding area for the complete angle of the circle, therefore it is equivalent to 2pi
now we create a relation to find the area corresponding to the indicated angle
if 225pi is equal to 2pi how much is 3pi / 5
\(\begin{gathered} 225\pi\longrightarrow2\pi \\ x\longrightarrow\frac{3}{5}\pi \end{gathered}\)where x is the area covered by the angle
we solve ussing cross multiplication, x is equal to: multiply the values that are found diagonally and make them equal
\(\begin{gathered} x\times2\pi=\frac{3}{5}\pi\times225\pi \\ \end{gathered}\)and solve for x
\(\begin{gathered} x=\frac{\frac{3}{5}\pi\times225\pi}{2\pi} \\ \\ x=\frac{135\pi^2}{2\pi} \\ \\ x=67.5\pi\approx212.0575 \end{gathered}\)The rounded area is 212.0575 square feet
you are dealt three cards without replacement from a standard 52-card deck. a) Find the probability of being dealt no hearts. b) Next, use complements to find the probability of being dealt at least one heart.
Answers
The the probability of being dealt no hearts is 0.75 and probability of being dealt at least one heart is 0.25 .
Total number of cards = 52
A : the probability of being dealt no hearts
B: the probability of being dealt with hearts
P( A ) = 1 - P( B)
= 1 - 13/52
= 1 -0.25
=0.75
C : probability of being dealt at least one heart
P(C) = 13C1 / 52C1
= 13 / 52
=0.25
Probability is a way to tell or calculate the possibility of an event to occur. Using it, we can make predictions about the likelihood of an event happening, or how likely it is , it helps to make predictions more clear .
The probability can be between 0 and 1 here , P being 0 means a failure and P being 1 means a success.
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What’s 4.8989 rounded to the nearest hundredth?
Answers
Answer:
4.90
Step-by-step explanation:
4.90 is correct as it is truly rounded to the nearest hundredth.
Determine the domain of the graph given below.
y=-x
-9-8-7-6-5
-3-2
8-
6-
5-
4-
3-
2-
1-
to
2
-3-
44
-5-
-6-
-7-
-8-
-9-
y=x
1 2 3 4 5 6 7 8 9
Answers
The domain of the graph are All real numbers
Calculating the domain of the graph?From the question, we have the following parameters that can be used in our computation:
The graph
The graph is an exponential function
The rule of an exponential function is that
The domain is the set of all real numbers
This means that the input value can take all real values
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In the figure below, two secants are drawn to a circle from exterior point V.
Suppose that VZ=30, VW=45, and VX=22.5. Find XY.
Answers
The value of secant XY is 37.5 units.
How to find the value of secant XY?The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".
Using the theorem above, we can say:
VZ * VW = VX * VY
30 * 45 = 22.5 * VY
22.5VY = 1350
VY = 1350/22.5
VY = 60 units
Since VY = VX + XY. We have:
60 = 22.5 + XY
XY = 60 - 22.5
XY = 37.5 units
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brainlist for comeing to this question but you have to be smart or you have to get my question 5.I have two question what do you do and what the different from premeter and area and what the different from inch and inch 2
Answers
Answer #1:
the difference between the PARIMITER and AREA of a shape is
- PARIMITER is the length of all sides in total
- AREA is the square ore cubic measurement aka VOLUME of a shape
Answer #2:
the difference between 1in and 2in is 1 in
Step-by-step explanation:
#1:
say we have a square that is 2 by 3 units, to measure the shape in both mediums we will use two easy functions
~ PARIMITER = 10
to figure out the outside edge of this shape, we need to measure all single sides and add them together
(2 + 2) + (3 + 3) = 4 + 6 = 10
^ note: be sure to add BOTH sides even if they have same measurements, beings there are two sides that have a measurement of 2 units, we add them together, same with the sides of 3, then we add those together
~ AREA = 6
to find the area, we just need to take ONE of each axis side (ei only left or right, top or bottum, and in some cases front or back) and lay them as shown
width = 2
height = 3
then we multiply them with each other
2 * 3 = 6
#2
finding the difference between two numbers can be quite easy, all we do is subtract 1 from the other, and depending on the result, we can tell whats greater, lesser or indifferent, take a look here
say we subtract 2in from 1in
2in - 1in = 1in
we are left with 1in from the 2in, meaning that 2in is greater then 1in by 1in, HOWEVER if we subtract 2in from 1in
1in - 2in = (-1in)
the number is in the negative, meaning that there is 1in LESS in 1in then in 2in
NOTE sometimes we find out that one of has no difference or is the same as the other number, heres an example
3in - 3in = 0in
this equation represents that the first 3in is no greater, nor lesser then the second 3in, meaning both values are the same
PS: for real though i know these are easy questions but i figured id earn the crown hehe :3, feel free to fact check this if you want, and if you want to use this as foot notes for your work
Fernando loves to make music playlists. He likes to keep the same ratio of country songs to rock songs. On his summer playlist, he has 100 country songs and 24 rock songs. On his road trip playlist, Fernando has 25 country songs.
How many rock songs are on Fernando's road trip playlist?
Answers
Answer:
There are 6 rock songs on Fernando's road trip playlist.
Step-by-step explanation:
Given that he keeps the ratio same
This means that the ratios for both summer playlist and trip playlist will be the same
Let
c1 be the country songs in summer playlist
r1 be the rock songs in trip playlist
Similarly,
c2,r2 will be the country and rock songs in trip playlist
Both will be equal so
\(\frac{c_1}{r_1} = \frac{c_2}{r_2}\)
Putting the values
\(\frac{100}{24} = \frac{25}{r_2}\\100r_2 = 25*24\\100r_2 = 600r_2 = \frac{600}{100}\\r_2 = 6\)
Hence,
There are 6 rock songs on Fernando's road trip playlist.
Answer:
6 songs
Step-by-step explanation:
PLEASE HELP ME
The function f(x) = -2(4)^x+1 +140
represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
PLEASE SEE PHOTO FOR FUNCTION
Answers
The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).
The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.
To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.
For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.
Therefore, the practical domain of the situation is x ≥ 0.
For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.
Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.
Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).
To summarize:
- The practical domain of the situation is x ≥ 0.
- The practical range of the situation is [140, ∞).
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Maine has a cold climate in the winter. What is the probability of the temperature falling below 32 Fahrenheit in Maine during the month of January.
Answers
The probability is closer to one than zero.
Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes, i.e {(H, H), (H, T), (T, H), (T, T)}.
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an expression for 4 times the sum of 14 and 26
Answers
4(14+6)
Answer:
4 (14+26)
Step-by-step explanation:
there is no need to use 4x (14+26)
PLEASE HELP QUICKLY!!!
A sequence is defined by the recursive rule a1 = -4, an = an-1 +5. What is the seventh term of the sequence?
Answers
The perimeter of an equilateral triangle is 21.33 centimeters. The equation 3s = 21.33 can be used to find s,
the length of each side of the triangle. How many centimeters does each of the three sides measure?
Answers
Answer:
7.11 cm
Step-by-step explanation:
So we have given the equation, 3s=21.33
Divide both sides by 3, 3s/3=21.33/3
s=7.11cm is length of each side of the triangle
hope this helped!
A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and estimates the angle of elevation of the kite to be 55°. If the string is 350 ft long, how high is the kite above the ground? (Round your answer to the nearest foot.)
Answers
The kite is approximately 345 feet above the ground.
The height of the kite above the ground is 287 ft
The length of the string, the height of the kite (h) above ground and the perpendicular distance from the end of the kite string to the man forms a right angled triangle.
Trigonometric shows the relationship between the lengths and angles of a right angled triangle.
Therefore using trigonometric ratios:
sin(55) = h / 350
h = 287 ft
Therefore the height of the kite above the ground is 287 ft.
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Simplify
8!/(8-2)
A. 720
b. 0.018
C. 8
d. 56
e. 40320
f. 1.333
Answers
Answer:
D) 56
Step-by-step explanation:
\(\displaystyle \frac{8!}{(8-2)!}=\frac{8!}{6!}=\frac{8*7*6*5*4*3*2*1}{6*5*4*3*2*1}=8*7=56\)
Please help me I need the steps too.
Answers
Correct answer: -2/5y + 8/5
Add -2y to both sides.
5x+ 2y +-2y = 8+ -2y
5x = -2y + 8
Divide both sides by 5
5x/5 = -2y +8/5
2. Y=3x - 7
Correct answer: 1/3y+ 7/3
Flip the equation
3x- 7=y
Add both sides by 7
3x -7 +7 =y+7
3x = y+7
Divide both sides by 3
3x/3= y+7/3
Hope I get brainlist this took a while.
the angel of elevation from a ball on a football field to the top of a 30 foot tall goal post 16 degree 42'. How far is the football from the base of the goal post? Round to the nearest tenth of a foot.
Answers
The football is approximately 96.4 feet from the base of the goal post.
What is tangent function?The tangent function in trigonometry is used to determine the proportion between the lengths of the adjacent and opposite sides in a right triangle. Where theta is the angle of interest, the tangent function is defined as:
tan(theta) = opposing / adjacent.
When the lengths of one side and one acute angle are known, the tangent function is used to solve for the unknown lengths or angles in right triangles. In order to utilise the tangent function, we must first determine the angle of interest, name the triangle's adjacent and opposite sides in relation to that angle, and then calculate the ratio of those sides using the tangent function.
Given, the angle of elevation is 16 degrees 42'.
That is,
Angle of elevation = 16 degrees 42' = 16 + 42/60 = 16.7 degrees
Using tangent function we have:
tan(16.7) = 30/x
x = 30 / tan(16.7)
x = 96.4 feet
Hence, the football is approximately 96.4 feet from the base of the goal post.
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What is the determinant of matrix A?
Answers
Answer:
360
Step-by-step explanation:
(28*15)-(-5*-12) = 420 - 60 = 360
F is a function that relates the price of a product to the revenue it will generate. If a price of $5 corresponds to $8,000 in revenue, which of the following correctly shows this relation using function notation?
Answers
The function that correctly shows this relation using function notation is f(5) = 8000
Functions are expressions separated by an equal sign. They have both dependent and independent variables.
From the given question, we have that F is a function that relates the price of a product to the revenue. From the statement;
Price is the dependent variable and product of revenue is the independent variable;
Let x be the product of revenue
f(x) be the price
If a price of $5 corresponds to $8,000 in revenue, this can be expressed as:
f(x) = 8000
since x = 5, then f(5) = 8000
Hence the function that correctly shows this relation using function notation is f(5) = 8000
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2.
Elena has a
pet parakeet that weighs 6 when measured in one unit and
170 when measured in a different unit. Which measurement is in ounces,
and which is in grams?
170
Answers
Measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.
What is measurement?
An object or event's attributes are quantified through measurement so that they can be compared to those of other things or events. Measurement, then, is the process of establishing how big or small a physical quantity is in relation to a fundamental reference quantity of the same kind.
Given:
Elena has a pet parakeet that weighs 6 when measured in one unit and
170 when measured in a different unit.
We have to find the correct units from grams and ounces for these.
We know that, 1 ounce is greater than 1 gram.
1 ounce = 28.3495 grams
Multiply both sides by 6.
6 ounces = 170.097 grams
Approximate the values to the nearest whole number.
6 ounces = 170 grams
Therefore, 6 ounces = 170 grams.
Hence, measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.
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The weight of water is 62 1/2 Ib per cubic foot. Water that weighs 175 lb will fill how many cubic feet?
Answers
Answer:
2.8 cubic feet
Step-by-step explanation:
To solve this problem, let's put the given information into a ratio:
62.5 / 1 = 175 / x
where x is equal to the final number of cubic feet.
Now, we will cross-multiply to solve for x:
62.5x = 175
x = 175/62.5 = 2.8 cubic feet
Hope this helped!
Reasoning Use the Distributive Property to solve the equation below. Use pencil and paper. Explain why the Distributive Property makes it possible to solve this equation. 44 - (2c + 3) = 4(C+5) + C The solution of the equation is
Answers
ANSWER and EXPLANATION
The distributive property involves simplifying expressions to make them easier to solve.
It is possible to solve the equation with distributive property because it allows us to break down equations into simpler forms of addition or subtraction.
The equation we are given is:
44 - (2c + 3) = 4(c + 5) + c
Using the distributive property, we have:
44 - 2c - 3 = 4c + 20 + c
Collect like terms:
-2c - 4c - c = 20 - 44 + 3
-7c = -21
Divide through by -7:
c = -21 / -7
c = 3
The equation has been solved.
Ralph has 3/4 gallon of paint. He wants to store all of the paint equally among 5 containers. How much paint, will Ralph store in each container
Answers
Answer:
Below
Step-by-step explanation:
He wants to DIVIDE the 3/4 gallon into 5 bux
so divide 3/4 by 5
3/4 / 5 = (3/4) / (5/1) = 3/4 * 1/5 = (3*1) / ( 5*4) = 3/20 gallon per bux
The amount of paint that Ralph store in each container is 3/20 gallon.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Total amount of paint that Ralph has = 3/4 gallon
He wants to store all of the paint equally among 5 containers.
If the paint is stored in 5 containers,
Amount of paint in each container = 3/4 ÷ 5
= 3/4 × 1/5
= 3/20
Hence 3/20 gallon of paint is stored in each container.
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according to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570what was the number of number of female population
Answers
According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.
To find the wide variety of girl population, we will subtract the quantity of male population from the full population.
Total population = 88,51,84,692
Number of male = 45,40,34,570
Number of female = Total population - Number of male
= 88,51,84,692 - 45,40,34,570
= 43,11,50,122
Therefore, the number of female population is 43,11,50,122.
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Imani was curious if there was a relationship between one hand being longer than the other and one foot being longer than the other for students at her school. She measured the hands and feet of
100
100100 randomly selected students. Here is a summary of the data and the results from a chi-square test:
Answers
The most appropriate conclusion is: A) This is convincing evidence of an association between longer hand and longer foot.
What is chi-square test?The chi-square test is a statistical test used to determine whether there is a significant association between two categorical variables. It is used to compare observed frequencies of data to the expected frequencies to determine if they differ significantly. The test is based on the principle of comparing the difference between the observed frequencies and the expected frequencies, and then determining if this difference is statistically significant.
Here,
At the 0.05 significance level, with a chi-square statistic of 11.942 and 4 degrees of freedom, the P-value is 0.018.
Since the P-value is less than the significance level, we reject the null hypothesis of no association and conclude that there is evidence of an association between longer hand and longer foot.
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Complete question:
Imani was curious if there was a relationship between one hand being longer than the other and one foot being longer than the other for 100 randomly selected students. Here is a summary of the data and the results from a chi-square test:
four more than the quotientof 25 divided by 5
Answers
Step-by-step explanation:
25/5 + 4 = 5 + 4 = 9
is that what you needed ?
If you want brainlist and a follow
Answers
Answer:
Step-by-step explanation:
1. Since the prime factor of 6 and 9 is 3, we know that one of the boxes will have a 3.
2. For 6, we can write 3 in the first box and 2 in the second box because 3x2=6.
3. For 9 we can write 3 in both boxes because 3x3=9.
Please give brainliest!
1. Select all equations that have two solutions.
A.x² = 16
B. 4x² = 0
C. x² = -16
D. 3x + 2 = 14
Ex² - 1 = 24
F) (x + 8) (x - 8) = 0
Answers
A) x² = 16 (solutions: x = 4, x = -4)
B) 4x² = 0 (solutions: x = 0)
F) (x + 8)(x - 8) = 0 (solutions: x = -8, x = 8)
six increased by the product of a number and 8 is at most -15
Answers
Answer:Answer and Explanation: An algebraic expression for the phrase '6 more than the product of 8 and n' is '8n + 6.
Step-by-step explanation:
Rosa had 4 dozen beads. She split them into 6 equal groups and gave two groups to her friend. How many beads did Rosa have then?
Answers
Answer: 32
Step-by-step explanation:
4 dozen beads is 48 beads. Divide 48 into 6 groups, and your answer is 8. If Rosa gave 2 groups to her friend, she gave 16 beads, which leaves her with 32 beads.
Answer: 32
Step-by-step explanation:
1 dozen = 12.
4 dozen x 12 = 48.
48 ÷ 6 = 8
If she gave two groups of 8 beads, that is 16 beads.
48 beads - 16 beads = 32 beads.
The answer is 32 beads.
Which graph represents the function f(x) = -2sin(x) +37
Answers
The graph that represents the function f(x) = -2sin(x) +37 is graph D
How to explain the graphThe graph of the function f(x) = -2sin(x) +37 is a sinusoidal wave with an amplitude of 2 and a vertical shift of 37. The negative sign in front of the sine function indicates that the wave is inverted or reflected about the x-axis.
In this graph, the maximum value of the function is 39 (when x = 0) and the minimum value is 35 (when x = π).
In conclusion, the graph that represents the function f(x) = -2sin(x) +37 is graph D
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