In order to gain information on the required stocking levels ofhospital resources, a study was conducted into the usage of latexgloves by hospital employees. Previous orders worked on the beliefthat the average number of gloves used per employee per week forall employees in the hospital was greater than 23. The resourcemanager tests this by sampling n = 35 hospital employees and foundthat number of gloves used by the sampled workers were summarizedby an average of 20.74 and a standard deviation of s = 11. Thehypotheses being tested are: H 0: ? = 23 H a: ? > 23.

An estimate of the population mean is .

The standard error is .

The distribution is (examples: normal / t12 / chisquare4 /F5,6).

The test statistic has value TS= .

Testing at significance level ? = 0.01, the rejection regionis:___________ (less/greater) than__________ (2 dec places).

Since the test statistic (is in/is not in) the rejection region,there (is evidence/is no evidence) to reject the null hypothesis, H0.

There (is sufficient/is insufficient) evidence to suggest thatthe average number of gloves used by all employess per week, ?, isgreater than 23 .

Were any assumptions required in order for this inference to bevalid?

a: No - the Central Limit Theorem applies, which states thesampling distribution is normal for any populationdistribution.

b: Yes - the population distribution must be normallydistributed.

Insert your choice (a or b): .