As district manager part of your responsibility is to identify reasons for chang

Question

As district manager part of your responsibility is to identify reasons for changes in sales by store. In one of the district stores you have identified that sales have dropped by 15% and you believe the reason is that not enough time is spent on cleaning and maintenance of inventory displayed. Cleaning and maintenance hours are supposed to be reported as after store closing hours. Random samples of cleaning and maintenance hours were surveyed to determine the amount of time spent daily on cleaning and maintenance. The times are shown below. If the times are normally distributed with a variance of 1.20 hours, estimate with 99% confidence the mean daily time spent cleaning and maintaining inventory by store personnel. 4, 5, 6, 5, 6, 5, 6, 5, 4 Standard Deviation = Standard Error of the Mean = Margin of Error = Upper Confidence Limit = Lower Confidence Limit =

Explanation / Answer

std deviation =(1.2)1/2 =1.095

std error =std deviation/(n)1/2 =0.365

for 99% CI, z=2.5758

hence margin of errror =z*std errror =0.941

upper confidence limit =sample mean +margin of error =6.052

lower confidence limit =sample mean -margin of error =4.171

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