Question
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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