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 48 57 55 48 60 48 46 47 49 54 53 What are the correct hypotheses? Но: @ hours H1: @ hours Based on the hypotheses, find the following: Test Statistic= p-value= The correct decision is to Reject the null hypothesis The correct summary would be: There is enough evidence to support the claim 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
48
47
57
55
48
60
48
46
47
49
54
53
What are the correct hypotheses?
Но: @
hours
H1: @
hours
Based on the hypotheses, find the following:
Test Statistic=
p-value=
The correct decision is to (Reject the null hypothesis
The correct summary would be: (There is enough evidence to support the claim
that the mean number of hours of all employees at start-
up companies work more than the US mean of 47 hours.
Transcribed Image Text: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 48 47 57 55 48 60 48 46 47 49 54 53 What are the correct hypotheses? Но: @ hours H1: @ hours Based on the hypotheses, find the following: Test Statistic= p-value= The correct decision is to (Reject the null hypothesis The correct summary would be: (There is enough evidence to support the claim 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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