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2. A researcher wants to test if the mean GPAS (grade point averages) of all male and all female college students who are actively participate in sports are different. She took a random sample of 28 male student and 24 female student who are actively involved in sports. She found the mean GPAS of the two groups to be 2.62 and 2.74, respectively, with the corresponding standard deviations equal to 0.43 and 0.38. Construct a 90% confidence interval for the difference between the two population means. Assume that the GPAS of all male and all female student athletes both have normal distribution with the same standard deviation.

2. A researcher wants to test if the mean GPAS (grade point averages) of all male and all female college students who are actively participate in sports are different. She took a random sample of 28 male student and 24 female student who are actively involved in sports. She found the mean GPAS of the two groups to be 2.62 and 2.74, respectively, with the corresponding standard deviations equal to 0.43 and 0.38. Construct a 90% confidence interval for the difference between the two population means. Assume that the GPAS of all male and all female student athletes both have normal distribution with the same standard deviation.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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2. A researcher wants to test if the mean GPAS (grade point averages) of all male and all female college students who are actively participate in sports are different. She took a random sample of 28 male student and 24 female student who are actively involved in sports. She found the mean GPAS of the two groups to be 2.62 and 2.74, respectively, with the corresponding standard deviations equal to 0.43 and 0.38. Construct a 90% confidence interval for the difference between the two population means. Assume that the GPAS of all male and all female student athletes both have normal distribution with the same standard deviation. 3. Repeat Question 2, but now assume that the GPAS of all male and all female student athletes are both normally distributed with unequal standard deviations
Transcribed Image Text:2. A researcher wants to test if the mean GPAS (grade point averages) of all male and all female college students who are actively participate in sports are different. She took a random sample of 28 male student and 24 female student who are actively involved in sports. She found the mean GPAS of the two groups to be 2.62 and 2.74, respectively, with the corresponding standard deviations equal to 0.43 and 0.38. Construct a 90% confidence interval for the difference between the two population means. Assume that the GPAS of all male and all female student athletes both have normal distribution with the same standard deviation. 3. Repeat Question 2, but now assume that the GPAS of all male and all female student athletes are both normally distributed with unequal standard deviations
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