c) (7m) Indicate whether each of the following statements is true or false.

i. 90% of doctors exercise weekly for the number of minutes between the endpoints of your interval above.
ii. The width of a 99% Confidence Interval created from the data above would be larger than the width of a 90% CI.
iii. PAGE 3 The shape of a population distribution is always the same as the shape of a test statistic distribution.
iv. There is a probability of 90% that the true mean of weekly doctor exercise minutes is in the 90% confidence interval created above.
v. A 90% confidence interval created from a sample of size 1000 from the population of weekly doctor exercise minutes would have a greater chance of capturing the true mean of weekly doctor exercise minutes than the 90% confidence interval you created with the sample of size 20 above.
vi. 90% of all intervals created with this formula with many many repeated samples of the same size from the population of weekly doctor exercise minutes will contain the true mean of weekly doctor exercise minutes.
vii. Today, we can be sure that the true mean of weekly doctor exercise minutes is 281 minutes.