M Corporation g?ves each of its 500 em o ees an aptitude test The scores on ne t
ID: 2907649 • Letter: M
Question
M Corporation g?ves each of its 500 em o ees an aptitude test The scores on ne test re noma y dst b ted with a m?n of 75 anda standard dei tonof 15 A Simple ran om sam n 6 steken om te p pukst on 500 er i es stals cal Rcport your final answer to 4 dccimal placcs, using conventional rounding ruics) Using only he app up a ANSWER ble n your textbook whal s te pr abily that the average puude tests re in the sample will be less than 7859? Lising only the appropriate statistical table in your textbook, four percent of the samples of n ANSWER 3taken from this population should have a mean test score ahove what value? (Report your final answer to 4 decimal places, using conventional rounding rules)Explanation / Answer
as n=36 an d N=500 ; also n/N >=0.05 ; we need to use finite correction factor
std error of mean=(std deviation/sqrt(n))*sqrt((N-n)/(N-1))=2.4107
hence
1)( please confirm that value is 78.89)
P(Xbar<=78.89)=P(Z<(78.89-75)/2.4107)=P(Z<1.61)=0.9463 ( please try 0.9370 if this comes out wrong)
2)
for top 4% ; critial z =1.75
hence corresponding value=mean+z*std deviation=75+1.75*2.4107=79.22
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