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. Note: You will have to copy and paste (or type) this data into Statcrunch and ask it to calcualte the sample mean and standard deviation. Hours 49 50 60 54 49 67 47 50 50 46 52 50 What are the correct hypotheses? H0: Select an answer σ² p s x̄ μ s² σ p̂ ? = ≠ ≥ > < ≤ hours H1: Select an answer s² μ s σ² x̂ p p̂ σ ? ≠ < ≤ > = ≥ hours Based on the hypotheses, find the following: Test Statistic= p-value= The correct decision is to Select an answer Fail to reject the null hypothesis Reject the null hypothesis Accept 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 not enough evidence to support the claim There is enough evidence to reject the claim 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.
The work week for adults in the US that work full time is
Note: You will have to copy and paste (or type) this data into Statcrunch and ask it to calcualte the sample mean and standard deviation.
| Hours |
|---|
| 49 |
| 50 |
| 60 |
| 54 |
| 49 |
| 67 |
| 47 |
| 50 |
| 50 |
| 46 |
| 52 |
| 50 |
What are the correct hypotheses?
H0: Select an answer σ² p s x̄ μ s² σ p̂ ? = ≠ ≥ > < ≤ hours
H1: Select an answer s² μ s σ² x̂ p p̂ σ ? ≠ < ≤ > = ≥ hours
Based on the hypotheses, find the following:
Test Statistic=
p-value=
The correct decision is to Select an answer Fail to reject the null hypothesis Reject the null hypothesis Accept 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 not enough evidence to support the claim There is enough evidence to reject the claim 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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