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. what are the correct hypotheses? h0: μ = 47 h1: μ > 47 based on the hypotheses, find the following: test statistic = 2.0267 p - value =.0332 the correct decision is to fail to reject. 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: Identify significance level

The significance level $\alpha = 0.01$.

Step2: Compare p - value and significance level

The p - value is $p=0.0332$. Since $p = 0.0332>0.01=\alpha$, we fail to reject the null hypothesis.

Answer:

There is not enough evidence to support the claim