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(i)

Let be the population mean tail length of the squirrels, in cm

(ii)

Under

Test Statistic,

For to be not rejected at 5% level of significance,

Thus the set of values is

(iii)

If , will be rejected from results in (ii). There is sufficient evidence at 5% level of significance to conclude that the squirrels on the island do not have the same tail length as the species known.

### KS Comments:

Students need to be careful to leave the answers in set notation since the question requests for a set of values. (iii) requires them to answers in the question’s context.

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