suppose we have the sample data 1.48, 4.10, 2.02, 56.59, 2.98, 1.51, 76.49, 50.25, 43.52, 2.96. consider this as a sample from a normal distribution with unknown mean and variance, and assess the hypothesis that the population median (which is the same as the mean in this case) is 3. also carry out a sign test that the population median is 3 and compare the results. plot a boxplot for these data. does this support the assumption that we are sampling from a normal distribution? which test do you think is more appropriate? justify your answer.
The sample mean of data is 24.19 and median is 3.54. The sign test and hypothesis testing. The boxplot for observation is present above figure. Yes, it support assumption that we are sampling from a normal distribution.
We have a sample data with values 1.48, 4.10, 2.02, 56.59, 2.98, 1.51, 76.49, 50.25, 43.52, 2.96. Also, here consider a sample from a normal distribution with unknown mean and variance, and the hypothesis that the population median (which is the same as the mean in this case) is 3.
Hypothesis testing parameters are
\(Н_0 : \mu = 3 \)
\(H_a : \mu ≠ 3 \)
The sample mean is called the average and it is defined as the ratio sum of data values divided by number of data values.
Median is a statistical measure. It is equals to the middle data value obtained by ordering the data values in ascending order. In case of odd number of data values it is middle value and in case of even number of data values it become mean of two middle values. Here we use Excel function to determine the mean and median values. So, see the above figure, excel command for mean is
'= mean (column contain data values)' and for median '= median ( same column)'. So, mean = 24. 19 and median
= 3.54 . The sign test for hypothesis testing of observations also present in above figure. P-value of test = 0.623 > 0.05 , That is no evidence to reject the null hypothesis. So, population mean = 3. The boxplot of observations also present in above figure.
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x2 + 11x + 24
Factor the expression
Answer:
(x + 8)(x + 3)
Step-by-step explanation:
Given
x² + 11x + 24
Consider the factors of the constant term (+ 24) which sum to give the coefficient of the x- term (+ 11)
The factors are + 8 and + 3 , since
8 × 3 = + 24 and 8 + 3 = + 11 , then
x² + 11x + 24 = (x + 8)(x + 3) ← in factored form
An angle bisector of a triangle divides the opposite side of the triangle into segments 6 and 4 in. long. The side of the triangle adjacent to the 6-in. segment is 9 in. long. How long is the third side of the triangle?
Answer:
6 in
Step-by-step explanation:
The angle bisector divides the opposite side into segments that are proportional to the other 2 sides.
let the third side of the triangle be x , then
\(\frac{9}{x}\) = \(\frac{6}{4}\) ( cross- multiply )
6x = 36 ( divide both sides by 6 )
x = 6
The third side of the triangle is 6 in
Help me pls I’m struggling and I can’t solve it
The perimeter of the rectangle is 4y + 6 (cm).
How can the perimeter equation be found?All four side lengths must be added up in order to get the perimeter, or the distance around the rectangle. Since there are two of each side length, it is simple to multiply the total of the length and the breadth by two in order to do this task effectively. The formula for perimeter is perimeter=(length Plus width)2.
The diagram shows a rectangle. All measurements are in centimetres an expression in terms of y, for the perimeter of the rectangle.
The perimeter of the rectangle is
2(y+3)+24
=2y + 6 + 2y = 4y + 6 (cm)
{ the perimeter:
2 * width + 2 * Length}
The perimeter of the rectangle is 4y + 6 (cm).
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Which property of equality was used to solve this equation?
x − 5 = -14
x − 5 + 5 = -14 + 5
x = -9
A.
addition property of equality
B.
subtraction property of equality
C.
multiplication property of equality
D.
division property of equality
Answer:
A
Step-by-step explanation:
as one number being added on both sides
The diagram shows a pyramid with a rectangular base. The volume of the pyramid is 108cm^3.
What is the length of the base edge labeled x?
1. 2cm
2. 6cm
3. 18cm
4. 30cm
Answer:
Solution given:
Volume of pyramid=108cm³
area of base*height=108cm²
6*x*3=108
x=108/18
x=6
option2:6cm
Point B on the number line shows penny score after the first round of a quiz in round two he lost six point watch equation shows how many total points he has at the end of round 2 (I’ll mark brainlist but I really need help I’ve been stuck on this for 30 minutes)!!
Answer:
the answer is the last one
Answer:
the answer is D hope this helps
Step-by-step explanation:
What is the slope, Please help ASAP
Answer:
rise over run
Step-by-step explanation:
answer
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.
A and B are two similar ornaments in the shape of a fish. The surface area of 44.8 cm and the surface area of B 179.2 cm Find the ratio of the length of A to the length of B in simplest form.
Answer:
400 cm
Step-by-step explanation:
1 cm = 1000m
44.8 cm=?
Can anyone help me with this ?
Can somebody please tell me how to show the work and solve for this type of thing? Thank you
Answer:
draw a grid
Step-by-step explanation:
the slope is -4 by 3 which is usually put at y over x. you can draw a grid with -9 and 17 being put x by y then plot points on the graph which go down by 4 and go right by 3.
Answer:
To solve these questions , you need to plug in your numbers to y = mx + b
Step-by-step explanation
For A, 17 is your y, -4/3 is your m and -9 is your x
17 = -4/3(9) + b. Multiply -4/3 and 9, and subtract your answer from 17. that will give you the value of b.
5p−3p+9+p+3? pls im failingg
Answer:
3p + 12
Step-by-step explanation:
5p -3p + 9 + p + 3
Move around the parts of the equation
5p -3p + p + 9 + 3
Add positive 9 to positive 3
5p -3p + p + 12
Add positive p to negative 3p
5p -2p + 12
Combine positive 5p and negative 2p together
3p + 12
I Hope That This Helps! :)
Which is the coefficient of the expression 82 + 4 - 3x ?
Answer:
86 - 3x
Step-by-step explanation:
1- Calculate
14y-14->14 what is the solution to the inequality
Answer:
if you see this say hi pls
Step-by-step explanation:
Answer:
y > 2
Step-by-step explanation:
Given
14y - 14 > 14 ( add 14 to both sides )
14y > 28 ( divide both sides by 14 )
y > 2
the variance and standard deviation are the most widely used measures of central location.
T/F
False , the variance and standard deviation are not measures of central location
Given data ,
The variance and standard deviation are not measures of central location but measures of dispersion or spread of a dataset
Measures of central location include the mean, median, and mode, which represent the typical or central value of a dataset
The variance and standard deviation are measures of dispersion or spread in a dataset. They provide information about how the values in a dataset are spread out around the mean.
In order to understand the variability or dispersion of data points within a dataset, one must take into account both the variance and standard deviation. They provide information on the range of values and aid in calculating how far away from the mean certain data points are. In statistics and data analysis, these metrics are frequently used to comprehend and evaluate the variance of various datasets.
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how many independent variables are in a 2x3x2 factorial design
A 2x3x2 factorial design has three independent variables. What is a factorial design? A factorial design is an experimental design that studies the impact of two or more independent variables on a dependent variable.
The notation of a factorial design specifies how many independent variables are used and how many levels each independent variable has. In a 2x3x2 factorial design, there are three independent variables, with the first variable having two levels, the second variable having three levels, and the third variable having two levels.
The number of treatments or conditions required to create all feasible combinations of the independent variables is equal to the total number of cells in the design matrix, which can be computed as the product of the levels for each factor.
In this case, the number of cells would be 2x3x2=12.Therefore, a 2x3x2 factorial design has three independent variables and 12 treatment groups..
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1. suppose a point is to be selected at random from the unit square. write the sample space associated with this random experiment.
a) The x-range of a unit square is from o to 1 and y-range is also from 0 to 1
Sample space = {(x, y)} , 0≤x≤1, 0≤y≤1.
So, sample space associated with this random experiment is
{(x, y)} , 0≤x≤1, 0≤y≤1.
b) From the given data,
Sample space for A : {1, 3, 5, 7, 9, 11,...}
Sample space for B: {5, 10, 15, 20, 25,...}
Therefore, the sample space for A∩B will be the set of all odd natural numbers divisible by 5 which is
{5, 15, 25, 35,....}
c) First letter is the capital letter = 26 Possibilities
then four digits = 9*10*10*10
two lower case letters = 26*26
Total possible ways = 26*9*10*10*10*26*26
= 15,81,84,000 ways.
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Complete question:
Suppose a point is to be selected at random from the unit square. Write the sample space associated with this random experiment. 2. Let S = {0, 1, 2, 3, 4, ...), A = the set of odd natural numbers, and B = the set of natural numbers divisible by 5. What is the set An B? 3. A computer password consists of two lowercase letters followed by a capital letter and four digits. Find the total number of possible passwords.
Hi! I need the answer for this question: solve until you get the minimum expression: 2x . (x+y) + 1/5 x.x + 1/2 y . (x + 3)
Answer:
11/5 x^2 + 5/2 xy + 3/2 y.
Step-by-step explanation:
2x . (x+y) + 1/5 x.x + 1/2 y . (x + 3)
= 2x^2 + 2xy + 1/5 x^2 + 1/2xy + 3/2 y
= 11/5 x^2 + 5/2 xy + 3/2 y.
Write an equation for the line that passes through the points (0, -2) and (-4, 0).
y = - x - 4
y = -2 x - 4
y = -2 x - 2
y = - x - 2
Answer:
y=-1/2x-2
Step-by-step explanation:
I dont think any of those options are the right one so thats the correct answer
Answer: y = -1/2x - 2
Step-by-step explanation:
To first write the equation, we need to find the slope and the y intercept and write it in the form y=mx +b
To find the slope, we will find the difference between the y coordinates and divide it by the difference between the x coordinates.
The y coordinates of the points are , 0 and -2
The x coordinates of the points are -4 and 0
0 - (-2) = 2
-4 -0 = -4
Slope: 2/-4 = -1/2
Now using the formula y=mx+b, you will input the slope and use one of the given point's coordinates to solve for b the y intercept.
We will use the point (0,-2)
-2 = -1/2(0) + b
-2 = b
This means the equation will be y = -1/2x - 2
a number s is at least -2 or less than -6
Answer:
-6<x<-2
Step-by-step explanation:
2) Solve, do not use quadratic formula4x²+7x-15=0
This time, you can use different methods to solve the quadratic expression
Let's use factoring to solve this equation.
\(\begin{gathered} (4x)^2+7(4x)-60=0 \\ (4x+12)(4x-5)=0 \\ 4x+12=0 \\ 4x=-12 \\ x=-\frac{12}{4} \\ x=-3 \\ 4x-5=0 \\ 4x=5 \\ x=\frac{5}{4} \end{gathered}\)The solutions of this expression are x=-3 and x=5/4.
Other method you can use instead of quadratic formula is the graphing method. You graph the expression on a graphing calculator and the x intercepts of the graph are the solutions of the expression.
HELP ME PLEASE!!
At figure skating practice, Michelle landed 15 out of 18 attempts at a double axel. What is the experimental probability that she will successfully land a double axel?
Answer:
5/6 or 0.8333333333 (83%)
Step-by-step explanation:
So she landed 15 out of 18 so we are going to divide 15 by 18 (15/18) which gets us 5/6 or 0.8333333333 or 83%
Hopes this help ^-^
Find the missing exponent. 10 =1,000
Answer:
\(10^3\)
Step-by-step explanation:
An easy way to get exponents done if you're dealing with a multiple of 10, is to count the number of 0's present.
Since there are 3 0's in 1000, 10*10*10 = 1000 which just so happens to be the exponent needed
Can someone help me PLZ! I keep posting the same question and no ones helping me :(((((((((((( its dues in 20 mins!!
How can you solve the system? Complete the sentence. 3x + 3y = 9 -6x - 4y = -14 Multiply 3x + 3y = 9 by _____ and add it to -6x - 4y = -14. PLZ HELP
Steps for Solving Linear Equation 3x − 4y = 3 Add 4y to both sides. 3x = 3 + 4y
Israel and Kylie plan a fundraiser for a running club. They begin with a balance of $-80 because of expenses. In the first hour of the fundraiser, they collect equal donations from 9 family members, which brings their balance to $-44. How much did each parent give?
Explain.
Answer: $4
Step-by-step explanation: To find how much each family paid, we must do this:
80-44
That gets us to 36. Now, we do 36 / 9, and get 4!
TIP: Don't worry about the negative signs, It won't be used in this. I hope this helped!
Question 4(Multiple Choice Worth 2 points)
(Comparing Data MC)
The data given represents the height of basketball players, in inches, on two different girls' teams.
Allstars
73 62 60
63 72 65
69 68 71
66 70 67
60 70 71
Super Stars
66 68 62
63 47 64
65 50 60
64 65 65
58 60 55
Compare the data and use the correct measure of center to determine which team typically has the tallest players. Explain your answer.
The Allstars, with a mean of about 67.1 inches
The Super Stars, with a mean of about 60.8 inches
The Allstars, with a median of 68 inches
The Super Stars, with a median of 63 inches
Answer:
The answer to your problem is, A. The Allstars, with a mean of about 67.1 inches
Step-by-step explanation:
Allstars mean height:
= (73 + 62 + 60 + 63 + 72 + 65 + 69 + 68 + 71 + 66 + 70 + 67 + 60 + 70 + 71) / 15
= 1007 / 15
= 67.6 inches
Super Stars mean height:
= (66 + 68 + 62 + 63 + 47 + 64 + 65 + 50 + 60 + 64 + 65 + 65 + 58 + 60 + 55) / 15
= 912 / 15
= 60.2 inches
We can see that the Allstars team has a higher mean height than the Super Stars team, with an average of 67.6 inches compared to 60.2 inches. Therefore, the Allstars team typically has the tallest players
Thus the answer to your problem is, A. The Allstars, with a mean of about 67.1 inches
A home is purchased for $220,000, with a down payment of 10%, and a 30 -year morgage at a fixed 7% interest rate. a. What is the principal? Round to the nearest cent............................................ b. What is the monthly payment? Round to the nearest cent.................................. c. What is the monthly interest rate? Round to the hundred-thousandth:......................
a) The principal is $198,000.
b) The monthly payment is $1,314.02.
c) The monthly interest rate is 0.0058333 or 0.58333%.
a. To find the principal, we need to subtract the down payment from the purchase price.
Down payment = 10% of $220,000 = 0.10 × $220,000 = $22,000
Principal = Purchase price - Down payment = $220,000 - $22,000 = $198,000
Therefore, the principal is $198,000.
b. To calculate the monthly payment, we can use the formula for a fixed-rate mortgage:
M = P * (r * (1+r)^n) / ((1+r)^n - 1)
Where M is the monthly payment, P is the principal, r is the monthly interest rate, and n is the total number of payments.
For a 30-year mortgage, the total number of payments is 30 years * 12 months/year = 360 months.
First, let's calculate the monthly interest rate. The annual interest rate is 7%, so the monthly interest rate can be found by dividing it by 12.
Monthly interest rate = 7% / 12 = 0.07 / 12 = 0.0058333 (rounded to the hundred-thousandth)
Now we can substitute the values into the formula:
M = $198,000 * (0.0058333 * (1+0.0058333)^360) / ((1+0.0058333)^360 - 1)
Using a financial calculator or software, the monthly payment is approximately $1,314.02.
Therefore, the monthly payment is $1,314.02.
c. The monthly interest rate is already calculated in part b. It is approximately 0.0058333 or 0.58333% (rounded to the hundred-thousandth).
Therefore, the monthly interest rate is 0.0058333 or 0.58333%.
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please help with this question!!!
Answer:
bro i cant even read the highlighted numbers
Step-by-step explanation:
take a better photo
x^(2)+x^(2)=128
or
x^2+x^2=128
Answer:
Step-by-step explanation:
x^2 + x^2 = 128 Normally you don't do this but rewrite the question
1x^2 + 1x^2 = 128
You actually do use 1 + 1 = 2 First time I've ever done that.
2x^2 = 128 Divide by 2
2x^2/2 = 128 / 2
x^2 = 64 Take the square root of both sides
sqrt(x^2)= sqrt(64)
x = 8
Answer:
8 =6 since 8 squared is 64 and 64 +64 or 64 times 2 is 128 that’s is your answer.
Step-by-step explanation:
lia has taken a mathematics exam, and she wants to calculate an 88% confidence interval to represent the exam scores within her group of friends. what are the z statistics that fall at each line marking the middle 88% of scores in the distribution?
In the given scenario, in order to calculate an 88% confidence interval, the z statistics that fall at each line marking the middle 88% of scores in the distribution would be +/- 1.555 (from the table).
In a case of seeking 88% confidence interval, the implication is that there is 12% chance that the interval does not contain the true value i.e., α=0.12 Assuming a two-sided test, it means that there should be 6% chance attributed to each tail of the z statistics (distribution). Thus, zα/2= z0.06.This z value at α/2=0.06 is the coordinate of the Z-curve that has 6% of the distribution's area to its right, and thus 94% of the area to its left. It is determined by z-value by reverse-lookup in a z-table. Find the closest value in the table to 0.9400 as possible, then see what its row and column is. From observation, it is seen that 0.9394 and 0.9406 are in the table with z -values of 1.55 and 1.56 respectively.We use liner interpolation to find the experimental z-score:Hence the z score = 1.5550
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