The work weck for adults in the US that work full time is normally distributed w
ID: 3046653 • Letter: T
Question
The work weck 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. Hours 46 50 53 51 45 70 56 59 46 48 53 What are the correct hypotheses? Ho: Select an answer Select an answer Hy: Select an answerSelect an answer Based on the hypotheses, find the following: Test Statistic- p-value- The correct decision is to Select an answer The correct summary would be: Select an answer hours hours that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours.Explanation / Answer
H0 : mu = 47
H1 : mu > 47
Tests tatistic:
x = 52.67 , s = 6.98 , n =12
t = ( x - mean) /(s/sqrt(n))
= (52.67 - 47)/( 6.98 / sqet(12))
= 2.8139
p value is calculated using t= 2.814 and df= 11 at 0.05 significance level
P value =0.008
The correct decision is to reject the null hypothesis.
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
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