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 then 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 5% level of significance.
See Excel for Data.
The hypotheses for this problem are:
H0: μ = 47
H1: μ > 47
Find the test statistic. Round answer to 4 decimal places. Test Statistic t =
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