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6.6 A 2009 study indicated that large population of Canadian doctors reported, on average, a total of 281 minutes per week of exercise with a

6.6 A 2009 study indicated that large population of Canadian doctors reported, on average, a total of 281 minutes per week of exercise with a standard deviation of 14.53 minutes per week. Today, you take a random sample of n=20 doctors in Canada, and ask them to report their minutes of exercise per week, and find a sample mean of 287.25 minutes per week.

a) (6m) Create a 90% confidence interval for the average weekly minutes of exercise of doctors in Canada today. At the 10% significance level, is there evidence that the average weekly minutes of exercise for Canadian doctors has changed from 281 minutes? Fill in the table and the brackets below.

Conf Level

Signif Level

Conf Interval

Summary Statement

We can be 90% confident that

English Statement (Choose answer)

At the 10% level of significance, because 281 minutes is (inside, outside) the 90% confidence interval, there (is, is not) significant evidence that the average weekly minutes of exercise for Canadian doctors has changed from 281 minutes.

b) (3m) Fully and completely state the two assumptions that must be met to perform the one sample t confidence interval test above.

1.

2.

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