The Gravenhurst Enquirer reported that the mean number of hours worked per week

Question

The Gravenhurst Enquirer reported that the mean number of hours worked per week by those employed full time is 43.9. The article further indicated that about one-third of those employed full time work less than 40 hours per week. Refer to the table in Appendix B.1. a. Given this information and assuming that number of hours worked follows the normal distribution, what is the standard deviation of the number of hours worked? (Round z-value to 2 decimal places and the final answer to 2 decimal places.) Standard deviation b-1. The article also indicated that 20% of those working full time work more than 49 hours per week. Determine the standard deviation with this information. (Round z-value to 2 decimal places and the final answer to 2 decimal places.) Standard deviation

Explanation / Answer

a)here as P(X<40)=1/3 for whcih value of z =-0.43

hence standard deviation =(X-mean)/Z score =(40-43.9)/(-0.43)=9.07

b-1)

for top 20% ; vaue of z =0.84

standard deviation =(X-mean)/Z score =(49-43.9)/0.84=6.07

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