ook int ences below. Statistic Sample mean Sample standard deviation Sample size Men 23.70 5.77 34 Test statistic Women At the .01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? Required: a. State the null and alternate hypotheses. 21.66 4.68 38 Ho: Men Women H₁: Men Women Women Ho: Men Women H: Men O Ho: Men Women H: Men Women b. Compute the test statistic. (Round your answer to 3 decimal places.) p-value c. Compute the p-value. NOTE: P-value calculators are available through online search. (Round your answer to 4 decimal places.)
ook int ences below. Statistic Sample mean Sample standard deviation Sample size Men 23.70 5.77 34 Test statistic Women At the .01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? Required: a. State the null and alternate hypotheses. 21.66 4.68 38 Ho: Men Women H₁: Men Women Women Ho: Men Women H: Men O Ho: Men Women H: Men Women b. Compute the test statistic. (Round your answer to 3 decimal places.) p-value c. Compute the p-value. NOTE: P-value calculators are available through online search. (Round your answer to 4 decimal places.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Related questions
Question
![5
A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. Assume that the
distributions follow the normal probability distribution and the population standard deviations are equal. The information is summarized
below.
eBook
P
Print
r
References
Statistic
Sample mean
Sample standard deviation
Sample size
At the .01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month?
Required:
a. State the null and alternate hypotheses.
Test statistic
ⒸHo: Men
Women H₁: Men
Women
O Ho: Men Women H: Men Women
O Ho: Men
Women H₁: Men # "Women
b. Compute the test statistic. (Round your answer to 3 decimal places.)
Men
23.70
5.77
34
p-value
Women
21.66
4.68
38
c. Compute the p-value. NOTE: P-value calculators are available through online search. (Round your answer to 4 decimal places.)
Ⓒ Do not reject
O Reject
d. What is your decision regarding the null hypothesis?
O Yes
ⒸNo
e. At the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd5e5e3b6-f4b0-48a0-a3b8-f5e52cee9465%2Fd6b79ff8-0565-4d44-82ae-0eb33e074457%2F9xf9eqy.png&w=3840&q=75)
Transcribed Image Text:5
A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. Assume that the
distributions follow the normal probability distribution and the population standard deviations are equal. The information is summarized
below.
eBook
P
Print
r
References
Statistic
Sample mean
Sample standard deviation
Sample size
At the .01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month?
Required:
a. State the null and alternate hypotheses.
Test statistic
ⒸHo: Men
Women H₁: Men
Women
O Ho: Men Women H: Men Women
O Ho: Men
Women H₁: Men # "Women
b. Compute the test statistic. (Round your answer to 3 decimal places.)
Men
23.70
5.77
34
p-value
Women
21.66
4.68
38
c. Compute the p-value. NOTE: P-value calculators are available through online search. (Round your answer to 4 decimal places.)
Ⓒ Do not reject
O Reject
d. What is your decision regarding the null hypothesis?
O Yes
ⒸNo
e. At the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month?
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