suppose a runner claims that her mile run time is less than 9 minutes, on average. several of her friends do not believe her, so the runner decides to do a hypothesis test, at a 5% significance level, to persuade them. she runs 7 time trials, collects the proper data, and works through the testing procedure:H0: μ=9; Ha: μ<9α=0.1 (significance level)The test statistic isz0=x¯−μ0σn√=7.7−9112√=−4.5The critical value is −z0.1=−1.28.Conclude whether to reject or not reject H0 and interpret the results.Select all that apply:Reject H0. At the 10% significance level, the test results are statistically significant to conclude that the mean time is less than 9 minutes.There is NOT sufficient evidence at the 10% significance level to conclude that the mean time is less than 9 minutes.The test statistic falls within the rejection region.The test statistic is NOT in the rejection region.
Answers
The conclusion of the hypothesis test is;
B: Reject H₀. At the 10% significance level, the data provides sufficient evidence to conclude that the mean time is less than 9 minutes.
What is the conclusion of the hypothesis test?We are given;
Null Hypothesis; H₀: μ = 9;
Alternative Hypothesis; Hₐ: μ < 9
Significance level; α = 0.1
The critical value; z_0.1 = 1.28
Test statistic; z = -4.5
Now, the rejection rule here is that if the test statistic is below the critical value, we reject the null hypothesis at the significance level.
In this case, the the test statistic is less than the critical value and as such we reject the null hypothesis and conclude that the data provides sufficient evidence to conclude that the mean time is less than 9 minutes
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Related Questions
Compute the reisduals for the trend line shown. y = -0.5x + 5
Answers
Answer:
X : 2__ 3 ___ 5 ___ 6 ___7
Y: 4 __3.5 __2.5___2 __ 1.5
Step-by-step explanation:
Given tbe equation for tbe residual :
y = -0.5x + 5
X : 2, 3, 5, 6, 7
X = 2
Y = - 0.5(2) + 5 = 4
X = 3
Y = - 0.5(3) + 5= 3.5
X = 5
Y = - 0.5(5) + 5 = 2.5
X = 6
y = -0.5(6) + 5 = 2
X = 7
y = -0.5(7) + 5 = 1.5
X : 2__ 3 ___ 5 ___ 6 ___7
Y: 4 __3.5 __2.5___2 __ 1.5
Which of the following matches a quadrilateral with the listed characteristics below?
1. All four sides congruent
2. Both pairs of opposite sides parallel
3. Diagonals are perpendicular
A.
Rhombus
B.
Parallelogram
C.
Rectangle
D.
Trapezoid
Answers
Answer:
Option (A)
Step-by-step explanation:
By the characteristics of a quadrilateral given in the question,
1). All four sides are congruent.
It may be Square, Rhombus
2). Both the pairs of opposite sides are parallel.
It may be Parallelogram, Rhombus.
3). Diagonals are perpendicular.
It may be Rhombus, Rectangle, Square.
Since all three characteristics define the properties of a Rhombus,
The given quadrilateral matches with a rhombus.
Therefore, Option (A) will be the answer.
Describe two methods to determine the phase relationship between two sinusoids of the same frequency.
Answers
Answer:
I think you could apply a FTT to the signals and then calculate the angle between them. I don't know any other way sorry, hope this helps
Step-by-step explanation:
First time through yield - FTT
First time through yield or FTT as it may sometimes be referred to is a measure of production efficiency, ability/skill, and quality. It measures how many goods are produced correctly without flaws or re-work as percentage of total units produced in a production process or value stream. This concept can also be easily applied to the service industry as a measure of service or orders delivered satisfactorily to customers the first time without any amendments, re-work, or complaints.
The formula to calculate FTT is: (Units produced-defective units)/units produced
The definition of defective units includes all units of production which are scrapped, re-worked, do not meet standards, require repair, or are not saleable.
The first time through yield will help you identify efficiency and changes in performance in the production process and should be used as a signal to perform further analysis and improvements if it exhibits sudden big changes.
drag the words to state whether each conjecture is true?
Answers
If n^2 is odd, then n is odd --------------- Yes
If m and n are odd, then mn is even .................... NO
Example: 3x 5 = 15, 15 is not even.
Show that the number 6 is a rational number by finding a ratio of two integers equal to the number
Answers
9514 1404 393
Answer:
6 = 6/1 = 12/2 = 18/3
Step-by-step explanation:
The simplest ratio of integers with a value of 6 is ...
6 = 6/1
We can multiply numerator and denominator by any non-zero integer value to obtain an equivalent:
6 = 12/2 = 18/3 = -54/-9
a total of 442 tickets were sold for the school play. They were either adult tickets or student tickets. There were 58 fewer
Answers
Complete Question:
A total of 442 tickets were sold for the school play. They were either adult tickets or student tickets. There were 58 fewer
There were 58 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Answer:
250 adults tickets
Step-by-step explanation:
Given
Represent Adult with A and Children with C
\(Total = 442\)
\(A = C + 58\)
Required
Find A
Since the ticket were either bought by A or C; then
\(A + C = Total\)
This gives:
\(A + C = 442\)
Substitute C + 58 for A
\(C + 58 + C = 442\)
Collect Like Terms
\(C + C = 442 - 58\)
\(2C = 384\)
Divide through by 2
\(C = 192\)
Recall that:
\(A = C + 58\)
\(A = 192 + 58\)
\(A = 250\)
Hence, 250 adults bought the ticket
spend 54.49 and 79.99. how much in total
Answers
Answer:
25.5
Step-by-step explanation:
Answer:2.25
Step-by-step explanation:
Which phrase is the best description of a scatter plot in which the variables are correlated with r = 0.16?
O weak negative correlation
O weak positive correlation
O strong negative correlation
O strong positive correlation
Answers
Answer:
C.) Strong negative correlation
Step-by-step explanation:
Which expression represents (fog) (x)
Answers
Step-by-step explanation:
\(f( \frac{x}{x - 1} ) = log( {( \frac{x}{x - 1} )}^{2} - 2( \frac{x}{x - 1}) ) \\ = log(\frac{ {x}^{2} }{ {(x - 1)}^{2} } -2\frac{x}{(x - 1)} ) \\ = log( \frac{ {x}^{2} - 2x(x - 1) }{ {(x - 1)}^{2} } ) \)
Help me please, I’m very confused on what to do
Answers
Just add the powers while it is multiply
-1+(-3)
= -1 - 3
= -4
So it is \(2^{-4}\)
Triangles DEF and D'E'F' are shown on the coordinate plane below: H F D D' 2 -8-7--5-4-3-2-1 1 2 3 4 5 6 7 8 T 20 F CO What rotation was applied to triangle DEF to create triangle D'E'F'?
Answers
No
Need help anyone can help
Answers
Answer
D
step 1
Memorize the formula, or look at the formula and solve it.
Silas wrote a number as a fraction with an integer in both
the numerator and the denominator. Which of the following
statements correctly describes the number?
Select one:
It could be either rational or irrational
o
It must be rational and not irrational
o
It must be irrational and not rational,
It could be neither rational nor irrational
Answers
Answer:it must be irrational and not rational
Step-by-step explanation:
The rod is made of A-36 steel and has a diameter of 0.22 in . If the rod is 4 ft long when the springs are compressed 0.7 in . and the temperature of the rod is T= 30 ∘F , determine the force in the rod when its temperature is T= 150 ∘F .
Answers
The force in the rod when the temperature is 150 °F is 718.72 pounds-force.
How to determine the resulting the resulting force due to mechanical and thermal deformationLet suppose that rod experiments a quasi-static deformation and that both springs have a linear behavior, that is, force (\(F\)), in pounds-force, is directly proportional to deformation. Then, the elongation of the rod due to temperature increase creates a spring deformation additional to that associated with mechanical contact.
Given simmetry considerations, we derive an expression for the spring force (\(F\)), in pounds-force, as a sum of mechanical and thermal effects by principle of superposition:
\(F = k\cdot (\Delta x + 0.5\cdot \Delta l)\) (1)
Where:
\(k\) - Spring constant, in pounds-force per inch.\(\Delta x\) - Spring deformation, in inches.\(\Delta l\) - Rod elongation, in inches.The rod elongation is described by the following thermal dilatation formula:
\(\Delta l = \alpha \cdot L_{o}\cdot (T_{f}-T_{o})\) (2)
Where:
\(\alpha\) - Coefficient of linear expansion, in \(\frac{1}{^{\circ}F}\).\(L_{o}\) - Initial length of the rod, in inches. \(T_{o}\) - Initial temperature, in degrees Fahrenheit.\(T_{f}\) - Final temperature, in degrees Fahrenheit.If we know \(k = 1000\,\frac{lb}{in}\), \(\Delta x = 0.7\,in\), \(\alpha = 6.5\times 10^{-6}\,\frac{1}{^{\circ}F}\), \(L_{o} = 48\,in\), \(T_{o} = 30\,^{\circ}F\) and \(T_{f} = 150\,^{\circ}F\), then the force in the rod at final temperature is:
\(F = \left(1000\,\frac{lb}{in} \right)\cdot \left[0.7\,in + 0.5\cdot\left(6.5\times 10^{-6}\,\frac{1}{^{\circ}F} \right)\cdot (48\,in)\cdot (150\,^{\circ}F-30\,^{\circ}F)\right]\)
\(F = 718.72\,lbf\)
The force in the rod when the temperature is 150 °F is 718.72 pounds-force. \(\blacksquare\)
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On June 22nd, 2010, the S&P 500 was down 17.89 points to close at 1095.31.
3.
What was the value of the S&P
500 before the open on June
22nd, 2010?
4.
By how many percent change points was the S&P 500 down on June 22, 2010
round the answer to the nearest hundredth of a percent?
Answers
The value of the S & P 500 before the open on June 22nd, 2010 is 1,113.20 points.
The percent change points is -1.61%/
What is the percent change?The value of the S & P 500 before the open would be higher than the value at the close of June 22nd, 2010. This was because the index declined over the day.
Value before the open of June 22nd, 2010 = value at the close + change
17.89 + 1095.31 = 1,113.20 points
Percentage change = (change in points / points before open) x 100
(-17.89 /1,113.20) x 100 = -1.61%
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and is in group 38 Rock she can put them into groups of 10 rocks or as single rocks what are the different ways Ann can group the rocks?
and is grouping 38 rocks she can put them into groups of 10 rocks or has single rocks what are the different ways and can group The Rocks
Answers
Answer:
She can put the rocks into groups of 19.
That would give her 2 groups.
Step-by-step explanation:
I don’t understand this
Answers
Answer:
cccccccccccccccçccccccccc
Answer:
if the dot is filled (black) it is ≤ or ≥
if it is not filled it is < or >
you graph goes from 6 to 10
the unfilled one is 6 the filled one is 10
thus 6 < x ≤ 10
which says x is greater than 6 and also less than or equal to 10
Step-by-step explanation:
23. Find the value of B.
24.Find the value of x.
Answers
simplify the expression:
1. 64 * 63!
option:
A. 65!
B. 64!
C. 66!
D. 63!
Answers
Answer:
\(64 \times 63fctorial \\ = 64 \times (1 \times 2 \times .......63) \\ = 1 \times 2 \times .......63 \times 64 \\ = 64factorial \\ thank \: you\)
Answer:
64!
Step-by-step explanation:
n * (n-1)! = n!
64 * 63! = 64 * (64-1)! = 64!
In 2 or more complete sentences, explain how to find the probability of being dealt 3 kings from a standard deck of 52 cards when 3 cards are dealt.
Answers
P = 0.0181 , The probability is very low but not negligible.
What is probability ?
The likelihood that something will occur is the foundation of it. The logic underpinning probability serves as the basic foundation for theoretical probability.
The theoretical likelihood of receiving a head, for instance, is 12 when a coin is tossed.
there are (52,3) ways to pick 3 cards out of 52 cards. Also, there are (4,3) ways to pick 3 kings out of the 4 total available kings in the deck. In essence, we need to have one of those ways to be the selected 3 cards. Hence, the probability is the ration (4,3)/(52,3). Computing this
= \(\frac{\frac{1 *2*3 * 4}{(1 *2 * 3)* 1} }{\frac{52 * 51 * 50}{1 * 2 * 3} }\)
P = \(\frac{4 * 1 * 2 * 3}{52 * 51 * 50}\)
P = 0.0181
The probability is very low but not negligible.
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The graph shows the amount of book sales
over several days. Determine if the
relationship is proportional. Find and
interpret the slope. Then find the unit rate
and compare it to the slope.
Answers
Yes, the relationship is proportional and the slope is 1000/3. The unit rate is also 1000/3. So, slope is directly proportional to the unit rate. Since, slope=unit rate.
What is a slope?When the ratio is expressed as a quotient, the same number is provided for every pair of distinct points on the same line ("rise over run"). In a diagram that shows a roof or a road as a description or a plan, the line may be practical as determined by a road surveyor; on a falling line, there is a negative "rise."
The slope's absolute value can be used to estimate a line's steepness, incline, or grade. The slope of a line in the plane that includes the x and y axes is commonly represented by the letter m and is defined as the difference between the y coordinate and the equivalent difference in the x coordinate between two distinct points on the line.
The sales are directly proportional to the number of days
The slope of the lines is given by (3, 1000), (6, 2000)
Slope=(2000-1000)/(6-3)
Slope=1000/3
From the graph given,
$1000 is obtained on 3 days.
Therefore, the unit rate is 1000/3
Therefore, Slope=unit rate=1000/3
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A teacher raised a total of $135 for school supplies. He divides the money evenly among his 10 students.
Answers
Answer:
Each gets $13.5
Step-by-step explanation:
135/10= 13.5
Homework: Week 3 - Ratios...
Question 13, 1.4.39
O Points: 0 of 1
The ratio of female students to male students at a particular college is 3 to 2 If there are 3375 female students at the college, what is the total number of students at the college?
The total number of students at the college is (Simplify your answer)
Answers
Answer:
5,625
Step-by-step explanation:
divide 3375 by 3 and get 1125 now multiply that by two and get 2250. Add 3375 by 2250 to get 5625 students
Austin takes1 minute and 45 seconds to run three-quarters of a circular track. His rate of motion is
/
radians per second.
Answers
Austin's rate of motion is (1/70)π Radians per second.
To determine Austin's rate of motion in radians per second, we need to use the formula for angular velocity:
ω = Δθ / Δt
Where:
ω = angular velocity (in radians per second)
Δθ = change in angular displacement (in radians)
Δt = change in time (in seconds)
We know that Austin runs three-quarters of a circular track, which means he covers an arc length that is equal to three-quarters of the circumference of the circle. Let's call the radius of the circle "r". Then, the arc length covered by Austin is given by:
s = (3/4) * 2πr
s = (3/2)πr
We also know that it takes Austin 1 minute and 45 seconds to cover this distance. This is the same as 105 seconds (since 1 minute = 60 seconds).
So, Δt = 105 seconds
Now, we can calculate the change in angular displacement (Δθ). The total angle around a circle is 2π radians, so the angle covered by Austin is given by:
Δθ = (3/4) * 2π
Δθ = (3/2)π
Therefore, Austin's rate of motion (ω) in radians per second is:
ω = Δθ / Δt
ω = [(3/2)π] / 105
ω = (3/210)π
ω = (1/70)π radians per second
So, Austin's rate of motion is (1/70)π radians per second.
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4. Chelsea determined that the value of x in the triangle at the right was 5.
a. Find the value of each angle by substituting 5 for x.
b. Was Chelsea's solution, x = 5, correct? How do you know?
15x
x
11x
(8x+5)
Z
Answers
Step-by-step explanation:
a) 11*5=55
15*5=75
8*5+5=45
b) No, because (55+75+45=175°) and the perimeter of a triangle is 180°
how many decimeters are in 5 kilometers. please show your work by using the power of 10 to show the work its due in 12 minutes PLZ HELP
Answers
Answer:
There are 50,000 decimeters in 5 kilometers
Step-by-step explanation:
as for showing my work not really sure what you want me to do it's pretty straightforward, butttttttt what i did was multiply the length value by 10,000, so \(10,000=10^4\)
I'm not sure if that's what you're looking for but I hope this helps :)
b. Multiply (3 x - 1) by (x + 1)
Answers
Answer:
(3x - 1)(x + 1) = 3x² + 2x - 1
Step-by-step explanation:
\( \rm \longrightarrow (3x - 1)(x + 1) \\ \\ \rm \longrightarrow 3x(x + 1) - 1(x + 1) \\ \\ \rm \longrightarrow (3x)(x) + (3x)(1) + ( - 1)(x) + ( - 1)(1) \\ \\ \rm \longrightarrow 3 {x}^{2} + 3x + ( - x ) + ( - 1) \\ \\ \rm \longrightarrow 3 {x}^{2} + 3x - x - 1 \\ \\ \rm \longrightarrow 3 {x}^{2} + 2x - 1\)
Answer:
(3x - 1)(x + 1) = 3x² + 2x - 1
Step-by-step explanation:
got it right on edge
Which of the following arithmetic sequences have a common difference of 2-?
122
0-5-3-1-11.2
0214 2018 1101
O 1.5,3,4.5,6,7.5
O-4,-1.5,1,3,5,6,8.5
Answers
Answer: -4, -1.5, 1, 3.5, 6, 8.5
Step-by-step explanation:
Each term is the last term plus 2.5
Solve this math equation 523-78x23
Answers
Answer: -1271
Step-by-step explanation:523-78x23 78x 23=1794
523-1794=-1271
The sum of two numbers is 27. One of the numbers is three more than the other. Find the numbers. A) 20 and 7 B) 12 and 15 C) 13 and 14 D) -12 and -15
Answers
Answer:
A
Step-by-step explanation: