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In: Statistics and Probability

1 A researcher was interested in comparing the response times of two different cab companies. Companies...

1

A researcher was interested in comparing the response times of two different cab companies. Companies A and B were each called at n = 20 randomly selected times. The calls to company A were made independently of the calls to company B. The response times were recorded and the summary statistics were as follows:

Company A

Company B

Mean response time

12.3 mins

15.0 mins

Standard deviation

1.5 mins

1.7 mins

Find the margin of error, E, for a 95% confidence interval that can be used to estimate the difference between the mean resting pulse rate of people who do not exercise regularly and the mean resting pulse rate of people who do. Round your answer to two decimal places.

(Note: Use Table A-3 for the critical value needed in the formula)

2. Use the given sample data to find the P-value for the hypothesis test. Round your answer to four decimal places.

x 1 = 38, n 1 = 100, x 2 = 40, n 2 = 100; H 0: p 1 = p 2, H 1: p 1 ≠ p 2 , α = 0.05

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