Question

The workweek for adults in the US that work full time is normally distributed with a...

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 =

44
43
54
50
48
46
48
48
50
46
55
55
52
54
46
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

ANS.

Obs. x x2
1 44 1936
2 43 1849
3 54 2916
4 50 2500
5 48 2304
6 46 2116
7 48 2304
8 48 2304
9 50 2500
10 46 2116
11 55 3025
12 55 3025
13 52 2704
14 54 2916
15 46 2116
Sum 739 36631

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