The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired en

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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.
What are the correct hypotheses?

H0: Select an
answer x̄ σ s² μ p σ² p̂ s ? < ≥ = ≤ ≠ > hours

H1: Select an
answer μ s² σ² p p̂ x̂ σ s ? ≥ > = < ≤ ≠ hours
Based on the hypotheses, find the following:

Test Statistic=

p-value=
The correct decision is to Select an answer Reject the
null hypothesis Accept the null hypothesis Fail to reject
the null hypothesis Accept the alternative
hypotheis .
The correct summary would be: Select an answer There
is not enough evidence to reject the claim There is enough
evidence to reject the claim There is enough evidence to
support the claim There is not 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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