Captain E. Garth Beaver has been warned by Colonel Sy Verleaf that if the mean efficiency rating for...

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Captain E. Garth Beaver has been warned by Colonel Sy Verleaf that if the mean efficiency rating for the 150 platoons under Verleaf’s command falls below 80, Captain Beaver will be transferred to Minot Air Force Base (a fate worse than Diego Garcias). Beaver wants to know in advance what his fate will be, so he will know whether to send change-of-address cards to his magazine subscriptions. Beaver takes a sample of 20 platoons and finds the following:

Would you advise Beaver to send change-of-address cards? (Assume that efficiency ratings are normally distributed.)

David · Accepted Answer

In the given case, hypothesis testing needs to be done. The relevant hypotheses are as follows. 
Null Hypothesis (H0); µ = 80 i.e. the mean efficiency for the platoons is 80 
Alternative Hypothesis (H1): µ

Captain E. Garth Beaver has been warned by Colonel Sy Verleaf that if the mean efficiency rating for the 150 platoons under Verleaf’s command falls below 80, Captain Beaver will be transferred to...

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