ty-nive women between the ages of 70 and were randomly selected from the general pop tion of women their age to take part in a special program to decrease reaction time (speed). After the course, the women had an average reaction time of 688 milliseconds. Assume that the mean reaction time for the general population of women of this age group is 700 milliseconds with a standard deviation of 300 milliseconds. (a) Compute a 95% confidence interval for u, the population mean reaction time for women who have taken part in the program. (b) Perform a hypothesis test to decide whether the course had a significant effect on reaction times.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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Twenty-five women between the ages of 70 and 80 were randomly selected from the general population
of women their age to take part in a special program to decrease reaction time (speed). After the
course, the women had an average reaction time of 688 milliseconds. Assume that the mean reaction
time for the general population of women of this age group is 700 milliseconds with a standard deviation
of 300 milliseconds.
(a) Compute a 95% confidence interval for u, the population mean reaction time for women who have
taken part in the program.
(b) Perform a hypothesis test to decide whether the course had a significant effect on reaction times.
Transcribed Image Text:Twenty-five women between the ages of 70 and 80 were randomly selected from the general population of women their age to take part in a special program to decrease reaction time (speed). After the course, the women had an average reaction time of 688 milliseconds. Assume that the mean reaction time for the general population of women of this age group is 700 milliseconds with a standard deviation of 300 milliseconds. (a) Compute a 95% confidence interval for u, the population mean reaction time for women who have taken part in the program. (b) Perform a hypothesis test to decide whether the course had a significant effect on reaction times.
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