40 married couples without children are asked to report the number of times
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40 married couples without children are asked to report the number of times

40 married couples without children are asked to report the number of times per year they initiate a date night. The men report initiating an average of 9.3 date nights with a standard deviation of 4. Is there significant evidence to conclude that married men without children initiate date night more than 8 times per year at the 0.01 significance level? Note that there's evidence that this distribution is skewed.

What are the hypotheses?

H0: μ = 9.3 vs H1: μ ≠ 9.3

H0: μ = 8 vs H1: μ ≠ 8

H0: μ ≤ 9.3 vs H1: μ > 9.3

H0: μ ≤ 8 vs H1: μ > 8

What distribution does the test statistic follow?

t with 41 degrees of freedom

t with 39 degrees of freedom

t with 40 degrees of freedom

z

What is the value of the test statistic? Round to two decimal places.

Hint
ComputerThe term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed. The standard deviation reveals the degree of data skewedness. It gauges how far away from the mean each observed value is. Approximately 95...

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