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. The information...

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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. The information...

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. The information is summarized below.

Statistic	Men	Women
Sample mean	25.57	22.33
Population standard deviation	5.58	4.95
Sample size	36	40

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? Hint: Consider the "Men" data as the first sample.

(a)

Compute the value of the test statistic. (Round your answer to 3 decimal places.)

Value of the test statistic

(b)

What is your decision regarding on null hypothesis?

The decision is (Click to select)rejectdo not reject the null hypothesis that the means are the same.

(c)

What is the p-value? (Round your answer to 4 decimal places.)

p-value

math Statistics-And-Probability

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Answer 1

Answer #1

The test statistic is, -X, ος , σ 12 -25.57-22.33 2.666 15.582 , 4.952- 36 40 Significance Level-a0.01 Using Excel, Thus the

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Answer 2

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