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 10% level of significance. Give answer to at least 4 decimal places.
The work week for adults in the US that work full time is
Hours |
---|
49 |
48 |
55 |
50 |
47 |
66 |
53 |
45 |
50 |
45 |
52 |
53 |
What are the correct hypotheses?
H0:
hours
H1:
hours
Based on the hypotheses, find the following:
Test Statistic= Round to two decimals.
p-value= Round to four decimals.
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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