For a statistics class project, a college student randomly samples 75 men who exercise at a gym regularly and 68 women who exercise at a gym regularly. The college tudent believes that on average men spend more time at the gym each week. The college student records the number of minutes each person exercises in a given week. The college student conducts a hypothesis test at the 5% significance level.
Use the summary statistics to conduct a hypothesis test in StatCrunch. (Open an empty StatCrunch spreadsheet. Choose Stat, T Stats, two sample, with Summary. Adjust the alternative hypothesis as necessary Two Sample T-Test
Sample n Mean Std. Dev.
Men 75 65.7 13.9
Women 68 64.8 9.6
What conclusion can you draw from the output?
i. The data provide sufficient evidence to reject the null hypothesis and to conclude that the mean amount of exercise (minutes) is greater for men than for women at this gym.
ii. The data provide sufficient evidence to conclude that there is no difference in the mean number of minutes exercised per week for men and women.
iii. The data do not provide sufficient evidence to conclude that the mean number of minutes exercised per week is larger for men than for women at this gym

Answers

Answer 1

Answer:

iii. The data do not provide sufficient evidence to conclude that the mean number of minutes exercised per week is larger for men than for women at this gym

Step-by-step explanation:

1) The hypotheses are

H0: u1 ≤ u2 against the claim Ha: u1 > u2

The men spend less or equal time than the women  at the gym each week

vs

the men  spend greater time  than the women at the gym each week

2) The test statistic is

t= (x1`- x2`) / √ s1²/n1+ s2²/n2

t= 65.7- 64.8/√(13.9)²/75 + (9.6)²/68

t= 0.9/√2.57613 +1.35529

t=0.4539

and the degrees of freedom is

3) υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

=[(13.9)²/75 + (9.6)²/68]²/ [(13.9)²/75 ]² /74 + [ (9.6)²/68]²/67

= 139

The degrees of freedom is always rounded in this calculation

4) The Critical region is [1.656, ∞]

5) t-score is outside of the critical region, so there is not enough evidence to reject H₀.

iii. The data do not provide sufficient evidence to conclude that the mean number of minutes exercised per week is larger for men than for women at this gym


Related Questions

Find the quotient of -4 1/6 and -3 1/3

A) 13 8/9

B) -5/6

C) -7 1/2

D) 1 1/4

Answers

B is the correct answer

Answer:

B -5/6

Step-by-step explanation:

Similar Triangles

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.

a. 4/15 = 5/12 = 4/15
b. 4/5 = 12/15 = 4/5
c. 4/12 = 5/15 = 1/3
d. 5/4 = 15/12 = 5/4

Please select the best answer from the choices provided

Answers

Answer:

C. 4/12 = 5/15 = 1/3

Step-by-step explanation:

I calculated it logically

Answer:

The answer is A

Step-by-step explanation:

Write the percent as a fraction and as a decimal.
2%
_
4
What is the fraction equivalent?

Answers

2% -decimal 0.02
2%- fraction 1/50
4- fraction 2/5
4-decimal0.04

Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 6.8 parts/million (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 10 samples is 6.4 ppm with a standard deviation of 1.1. Does the data support the claim at the 0.05 level

Answers

Answer:

The test statistics fall in the critical region and hence null hypothesis is to be rejected.

Step-by-step explanation:

The null hypothesis : H0 : Mean = 6.80  

Alternative hypothesis: Ha: Mean is not equal to 6.80

As per the z statistics  

z = (x’-mean)/(sigma/sqrt n)

Substituting the given values, we get –  

z = 6.4-6.8/(1.1/sqrt 10)

z = -1.149

z test statistics is -1.149

Critical value for two tailed test at 98% confidence is .10749

The test statistics fall in the critical region and hence null hypothesis is to be rejected.


Find x if x : 10 = 10 : x

A) 10 B) 20 C) 16

Answers

Answer:

10 is the correct answer

Answer:

A) 10

Step-by-step explanation:

given,

x:10=10:x

x/10=10/xx²=100x=√100x=10

hope it helps.

stay safe healthy and happy.

which triangles are similar?​

Answers

Answer:

triangle a and b

Step-by-step explanation:

because its common knowledge

Please help and thank you
( ignore the answer I clicked)

Answers

Answer:

Step-by-step explanation:

Answer:

your answer is correct. a trapezoid can be defined by it's set of parallel sides

Step-by-step explanation:

If the shape you're looking at doesn't have at least one set of parallel sides, it's not a trapezoid;

7=-1/4+b solve for b

Answers

Answer:

b = 7 1/4

Step-by-step explanation:

7 = -1/4 + b  

Add 1/4 to both sides

7 1/4 = b

b = 7 1/4

area
help hellllppppp

Answers

Answer:

Area = 14¹/16 yd² or 14.0625 yd²

Step-by-step explanation:

2. The figure given is a square having equal sides of 3¾ yd each.

Formula for area of the square = a²

Where,

a = 3¾ yd

Plug in the value into the equation:

Area = (3¾)²

Change to improper fraction

Area = (15/4)²

Area = 225/16

Area = 14¹/16 yd² or 14.0625 yd²

What is the formula for surface area? Giving brainliest to the correct answer

Answers

Answer: Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area

A pair of sneakers costs $60. Dahlia bought them on sale for $45. What is the percent decrease in the price of the sneakers?

Answers

Answer:

the answer is %25

Step-by-step explanation:


Successfulness of the Competition policy in South Africa- support and graphs​

Answers

Answer:

Answer to the following question is a follows;

Step-by-step explanation:

The following are a few examples of how South Africa's competitiveness policy has been successful:

⇒ Consumers or buyers were given a variety of product options as well as competitive prices.

⇒ In 1984, practises like horizontal cooperation and resale price maintenance and control were ruled illegal.

Polygon ABCDE ~ Polygon FGHIJ
What is the scale factor of polygon ABCDE to polygon FGHIJ?

Answers

The scale factor of polygon ABCDE to polygon FGHIJ will be 9/2. Then the correct option is C.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

There is no effect of dilation on the angle.

Polygon ABCDE is similar to the Polygon FGHIJ.

Then the scale factor is given as,

Scale factor = 27 / 6

Simplify the equation, then we have

Scale factor = 27 / 6

Scale factor = 9 / 2

The scale factor of polygon ABCDE to polygon FGHIJ will be 9/2. Then the correct option is C.

More about the dilation link is given below.

https://brainly.com/question/2856466

#SPJ1

Help Please! I've been stuck and options are below!

Answers

Answer:

first question is b second is d

Step-by-step explanation:

In the diagram A, B, and C are the points on the circle. Use the diagram to prove the theorem which states that:
if O is the center of the circle then AÔB = 2Ĉ.

Answers

9514 1404 393

Explanation:

Here's one way to go at it.

Draw segments AB and CO. Define angles as follows. (The triangles with sides that are radii are all isosceles, so their base angles are congruent.)

  x = angle OAB = angle OBA

  y = angle OAC = angle OCA

  z = angle OBC = angle OCB

Consider the angles at each of the points A, B, C.

At A, we have ...

  angle CAB = x + y

At B, we have ...

  angle CBA = x + z

At C, we have ...

  angle ACB = y + z

The sum of the angles of triangle ABC is 180°, as is the sum of angles in triangle ABO. This gives ...

  x + x + ∠AOB = (x+y) +(x+z) +(y+z)

  ∠AOB = 2(y+z) = 2∠ACB

This shows ∠AOB = 2×∠C, as required.

if you add 5 over 8 + 5 over 8.. how do you simplify it and write it as a mixed number?​

Answers

Answer:

its equal to 10 over 8

Step-by-step explanation:

then u divide the numerator and denominator by 2 over 2 which will give you 5 over 4

since it's 5 over 4 you 1 whole number which become 1 and 1 over 4

A photograph measuring 4 inches wide and 5 inches long is enlarged to make a wall mural. If the mural is 150 inches wide, how long is the mural?

A. 120 inches
B. 600 inches
C. 750 inches
D. 187.5 inches

Answers

D.
you would get this by doing the following

150/4 = 37.5
5 x 37.5 = 187.5

los niños están jugando bingo con las tablas de multiplicar, 9 números deben ser las respuestas de las tablas de multiplicar del 1 al 9 y para ir marcando una persona sacará los PO de las tablas .. responde : a) que números eligirias tú para que tengas más posibilidades de ganar ? b) gloria eligió los siguientes números 54,6,8,9,12,16,18,24,36.. Jorge eligió los números 1,2,3,5,7,25,49,64,81 quien tiene más posibilidades de ganar el bingo ?? explica el por qué ??​

Answers

Answer: el fredo en y multa verdad thress

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

ellus
Find the surface area of the composite figure.
2 cm
7 cm
2 cm
12 cm
12 cm
7 cm
7 cm
SA = [?] cm2

Answers

Answer:

SA = 484 cm²

Step-by-step explanation:

Surface area of the composite figure = surface area of the larger rectangular prism + (surface area of the smaller rectangular prism - base area of the smaller rectangular prism)

✔️Surface are of the larger rectangular prism = 2(LW + LH + WH)

L = 7 cm

W = 7 cm

H = 12 cm

S.A = 2(7*7 + 7*12 + 7*12) = 434 cm²

✔️Surface are of the smaller rectangular prism = 2(LW + LH + WH)

L = 7 cm

W = 2 cm

H = 2 cm

S.A = 2(7*2 + 7*2 + 2*2) = 64 cm²

✔️Base area of the smaller rectangular prism = L*W

L = 7 cm

W = 2 cm

Area = 7*2 = 14 cm²

✅Surface area of the composite figure = 434 + (64 - 14)

= 434 + 50

= 484 cm²

Exam grades: Scores on a statistics final in a large class were normally distributed with a mean of 77 and a standard deviation of
10. Use the TI-84 PLUS calculator to answer the following. Round the answers to at least two decimals.
(a) Find the 28th percentile of the scores.
(b) Find the 65th percentile of the scores.
(c) The instructor wants to give an A to the students whose scores were in the top 12% of the class. What is the minimum score
needed to get an A?
(d) Between what two values are the middle 64% of the scores? (Enter the smaller number in the first box.)

Answers

Are all of those questions I think it’s C

Please answer the ones you know or all of them

Answers

Answer:

solve each equation :

12) B) {0}

13)(B) {-3}

14) (C) {4}

A gumball machine has various colors of gumballs. There is a 10% chance that the next
gumball from the machine is red and 0.8 chance it is orange.
Is the next gumball more likely to be red or orange? Explain your reasoning.

Answers

Answer:

It is red

Step-by-step explanation:

Seven hundred twenty -one thousandths as a decimal

Answers

Answer:

0.721

Step-by-step explanation:

the last digit (the number '1') must be in the thousandths place; then work backward so the '2' would be in the hundredths and the '7' would be in the 'tenths'

USE TABLE AOR TABLE RFOR
SERVING UP A LARGE FEAST?
96"
42"
A А
B
R=45"
SHOW AN EXPLANATION ON WHICH TABLE YOU CHOOSE!!!

Answers

Answer:

use table B

Step-by-step explanation:

the perimeter of table A =

2×(96+42) = 2× 138 = 276 inches

the perimeter of table B =

2×3.14×45 = 282.6 inches

table B > table A

the lee family eats at a restaurant for a total bill of 45$ they decided to give a tip of 18% how much tip will they give

Answers

They will tip $8.10.


How to Do it/ Work:

18 * 0.45 = 8.1

Find the inverse function of the function f(x) = 5x/7
f-(x) = -7x/5
f-'(x) = – 5x/7
f-l(x) = 5x/7
f-'(x) = 7x/5

Answers

The last answer choice is the answer

simply log 64 - log 128 + log 32​

Answers

Answer:

log(16)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra II

Logarithmic Property [Multiplying]:                                                                  [tex]\displaystyle log(ab) = log(a) + log(b)[/tex]Logarithmic Property [Dividing]:                                                                      [tex]\displaystyle \displaystyle log(\frac{a}{b}) = log(a) - log(b)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

log(64) - log(128) + log(32)

Step 2: Condense

Logarithmic Property [Dividing]:                                                                      log(1/2) + log(32)Logarithmic Property [Multiplying]:                                                                 log(16)

Each cement block weighs 1 1/4 pounds. How much do 8 cement blocks weight in total?

Answers

Answer:

10

Step-by-step explanation:

[tex]1 \frac{1}{4} \times 8 = 10[/tex]

Answer:

10 pounds.

Step-by-step explanation:

1 * 8 + 1/4 * 8

= 8 + 2

= 10 pounds.

Need help with this scatter plots question. How do I solve it?

Answers

Answer:

No Trend

Step-by-step explanation:

Scatter plots usually have 1 or 2 outlier points if they're to show a positive or negative trend. There is a kind-of negative trend in the graph, but for me personally, I think the outliers kind of cancel the pattern out since there's way to much other points around it. It can't be constant since constant means that the points have to be in one place, and obviously its not really the case here. Therefore,  you're left with a no-trend graph!

Help I will brainliest your answer

Answers

Answer:  y=12

Step-by-step explanation:

96=8y

96/8=y

12=y

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