The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. Anewly hired engineer at a start-up company believes that employees at start-up companies work more onaverage then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths inhours of their work week. Their responses are shown in the table below. Test the claim using a 10% level ofsignificance. Give answer to at least 4 decimal places.Hours484358514562475549495253a. What are the correct hypotheses?Ho: Select an answerH₁: Select an answerb. Test Statistic =Based on the hypotheses, find the following:c. p-value =? 0? 0d. The correct decision is to Select an answerAdd Workhourshourse. The correct summary would be: Select an answerhours of all employees at start-up companies work more than the US mean of 47 hours.that the mean number of

From the provided information,Sample size (n) = 12Level of significance (α) = 0.10a)The hypotheses are as follow:H0: µ = 47 hoursH1: µ > 47 hoursThe mean and standard deviation of sample data can be obtained as:b)The value of test statistic can be obtained as:The test statistic is 2.5532.c)Degrees of freedom = n – 1 = 12 – 1 = 11The p value of test statistic can be obtained using excel function as:The excel output is as follow:The p value is 0.0134.d)Since, the p value is less than level of significance, so the correct decision is to reject the null hypothesis.e)The correct summary would be that there is sufficient 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.a)Hypotheses:H0: µ = 47 hoursH1: µ > 47 hoursb)The test statistic is 2.5532.c)The p value is 0.0134.d)Since, the p value is less than level of significance, so the correct decision is to reject the null hypothesis.e)The correct summary would be that there is sufficient 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.