A reporter collects a random sample of 50 runners from all the runners who finished the Cherry Blossom Ten Mile Run in 2009 and constructs a 99% confidence interval for the true mean finish time to be (86.05, 99.38) minutes.

Assuming the reporter performed the calculations correctly, which of the following statements are appropriate interpretations of this confidence interval? Select all that apply.

a) There is a 99% chance that a different random sample of 50 runners would have a sample mean run time between 86.05 and 99.38 minutes.

b) We can be 99% confident that the true mean finish time for runners in this race was between 86.05 and 99.38 minutes.

c) Approximately 99% of the runners in the race had a finish time between 86.05 and 99.38 minutes.

d) We can expect that 99% of confidence intervals created using the same method the reporter used will contain the true mean run time for runners of this race.

Question

Mathematics

Alfred Garcia

11 March, 02:33

A reporter collects a random sample of 50 runners from all the runners who finished the Cherry Blossom Ten Mile Run in 2009 and constructs a 99% confidence interval for the true mean finish time to be (86.05, 99.38) minutes.

Assuming the reporter performed the calculations correctly, which of the following statements are appropriate interpretations of this confidence interval? Select all that apply.

a) There is a 99% chance that a different random sample of 50 runners would have a sample mean run time between 86.05 and 99.38 minutes.

b) We can be 99% confident that the true mean finish time for runners in this race was between 86.05 and 99.38 minutes.

c) Approximately 99% of the runners in the race had a finish time between 86.05 and 99.38 minutes.

d) We can expect that 99% of confidence intervals created using the same method the reporter used will contain the true mean run time for runners of this race.

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Answers (1)

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Ellen Conner · Answer 1

Option D

Step-by-step explanation:

A reporter collects a random sample of 50 runners from all the runners who finished the Cherry Blossom Ten Mile Run in 2009 and constructs a 99% confidence interval for the true mean finish time to be (86.05, 99.38) minutes.

Assuming the reporter performed the calculations correctly, which of the following statements are appropriate interpretations of this confidence interval?

We can expect that 99% of confidence intervals created using the same method the reporter used will contain the true mean run time for runners of this race.