Question

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 1% level of significance. give answer to at least 4 decimal places. hours: 49, 48, 52, 55, 45, 63, 51, 45, 47, 50, 50, 55. what are the correct h0: μ, h1: μ. based on the hypothesis test statistic = 2.0267, p - value =.0332. the correct decision is to select an answer. the correct summary would be: select an answer that the mean number of hours of all employees at start - up companies work more than the us mean of 47 hours.

Explanation:

Step1: State decision - rule

In a hypothesis test, if the p - value is less than the significance level $\alpha$, we reject the null hypothesis. Here, $\alpha = 0.01$.

Step2: Compare p - value and $\alpha$

The p - value is given as $p = 0.0332$ and $\alpha=0.01$. Since $0.0332>0.01$.

Answer:

Fail to reject the null hypothesis