Suppose you carry out a significance test of H0: μ = 7 versus Ha: μ ≠ 7 based on sample size n = 28 and obtain t = 1.45. Find the p-value for this test. What conclusion can you draw at the 5% significance level? Explain.

Possible answers:
The p-value is 0.0793. We reject H0 at the 5% significance level because the p-value 0.0793 is greater than 0.05.
The p-value is 0.0793. We fail to reject H0 at the 5% significance level because the p-value 0.0793 is greater than 0.05.
The p-value is 0.4207. We fail to reject H0 at the 5% significance level because the p-value 0.4207 is greater than 0.05.
The p-value is 0.1586. We fail to reject H0 at the 5% significance level because the p-value 0.1586 is greater than 0.05.
The p-value is 0.1586. We reject H0 at the 5% significance level because the p-value 0.1586 is greater than 0.05.

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It appears that people who are mildly obese are less active than leaner people. one study looked at the average number of minutes per day that people spend standing or walking. among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately normally distributed with mean 376 minutes and standard deviation 64 minutes. the mean number of minutes of daily activity for lean people is approximately normally distributed with mean 528 minutes and standard deviation 107 minutes. a researcher records the minutes of activity for an srs of 7 mildly obese people and an srs of 7 lean people. use z-scores rounded to two decimal places to answer the following: what is the probability (image for it appears that people who are mildly obese are less active than leaner people. one study looked at the averag0.0001) that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes? what is the probability (image for it appears that people who are mildly obese are less active than leaner people. one study looked at the averag0.0001) that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes?