The work week 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 most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 5% level of significance. Give answer to at least 4 decimal places.   Hours 46 49 58 55 49 68 45 48 46 45 51 50   What are the correct hypotheses?  H0:                    hours H1:                    hours Based on the hypotheses, find the following: Test Statistic= p-value= The correct decision is to       . The correct summary would be:       that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours.

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The work week 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 most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 5% level of significance. Give answer to at least 4 decimal places.

 

Hours
46
49
58
55
49
68
45
48
46
45
51
50

 

What are the correct hypotheses? 

H0:                    hours

H1:                    hours

Based on the hypotheses, find the following:

Test Statistic=

p-value=

The correct decision is to       .

The correct summary would be:       that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours.

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