Test: Unit 3 Test (Ch 8-10) Submit Test StatL This Question: 3 pts This Test: 10

Question

Test: Unit 3 Test (Ch 8-10) Submit Test StatL This Question: 3 pts This Test: 105 pts y Cou The shape of the distribution of the time required to get an oil change at a 20-minute 21.1 minutes, and the standard deviation is 4.3 minutes. Complete parts (a) through (c) izzes & mean dy Plan O A. B. ° C. The sample size needs to be greater than or equal to 30 Any sample size could be used. The normal model cannot be used if the shape of the distribution is unknown. Crund pter C sfor S| media D. The sample size needs to be less than or equal to 30. The probability is approximately Round to four decimal places as needed.) facility will perform 40 oil (c) Suppose the manager agrees to pay each employee a $50 bonus if they meet a certain goal. On a typical Saturday, the changes between 10 AM and 12 PM Treating this as a random sample, there would be a 10% chance of the mean old ange time being at or below what value? This will be the goal established by the manager. There is a 10% chance of being at or below a mean oil change time of Round to one decimal place as needed.) so minutes. 29

Explanation / Answer

a) option A is correct

b)std error =std deviaiton/(n)1/2 =0.680

tehrefore probability =P(Xbar<20) =P(Z<(20-21.1)/0.680)=P(Z<-1.6179)=0.0528

c)

for bottom 10% ; z =-1.2816

for which corresponding time =mean +z*std error =21.1+1.2816*0.680=20.2 minutes

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