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The workweek for adults in the US that work full time is normally distributed with a mean of 47 hours

Statistics Oct 30, 2020

The workweek for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average than working adults in the US. She asks 15 engineering friends at start-ups for the lengths in hours of their workweek. Their responses are shown in the table below. Test the claim using a 1% level of significance.
See Excel for Data.
The hypotheses for this problem are:


H0: μ = 47
H1: μ > 47
Find the p-value. Round answer to 4 decimal places. p-value =


Values:
46 42 54 52 48 45 49 49 50 46 55 55 53 54 48

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