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. 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 Men 25.45 5.91 37 Ho: "Men ="Women H₁: Men Women Women O Ho: Men /Women H₁: Men # O Ho: Men * PWomen H₁: Men Women b. Compute the test statistic. (Round your answer to 3 decimal places.) Women 22.04 4.68 40 p-value c. Compute the p-value. NOTE: P-value calculators are available through online search. (Round your answer to 4 decimal places.) Reject Do not reject d. What is your decision regarding the null hypothesis? 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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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.
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
Men
25.45
5.91
37
Ho: Men = MWomen H₁: Men
Women
Women
O Ho: PMen Women H₁: Men
#
O Ho: Men * PWomen H₁: PMen # "Women
b. Compute the test statistic. (Round your answer to 3 decimal places.)
Women
22.04
4.68
40
p-value
c. Compute the p-value. NOTE: P-value calculators are available through online search. (Round your answer to 4 decimal places.)
O Reject
O Do not reject
d. What is your decision regarding the null hypothesis?
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?
Transcribed Image Text: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. 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 Men 25.45 5.91 37 Ho: Men = MWomen H₁: Men Women Women O Ho: PMen Women H₁: Men # O Ho: Men * PWomen H₁: PMen # "Women b. Compute the test statistic. (Round your answer to 3 decimal places.) Women 22.04 4.68 40 p-value c. Compute the p-value. NOTE: P-value calculators are available through online search. (Round your answer to 4 decimal places.) O Reject O Do not reject d. What is your decision regarding the null hypothesis? 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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