The human resources department of a consulting firm gives a standard creativity test to a randomly selected group of new hires every year. This year, 65 new hires took the test and scored a mean of 113.2 points with a standard deviation of 13.4. Last year, 100 new hires took the test and scored a mean of 116.8 points with a standard deviation of 14.6. Assume that the population standard deviations of the test scores of all new hires in the current year and the test scores of all new hires last year can be estimated by the sample standard deviations, as the samples used were quite large. Construct a 95% confidence interval for 4-H2, the difference between the mean test score H, of new hires from the current year and the mean test score u, of new híres from last year. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list of formulas.)

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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The human resources department of a consulting firm gives a standard creativity test to a randomly selected group of new hires every year. This year, 65 new
hires took the test and scored a mean of 113.2 points with a standard deviation of 13.4. Last year, 100 new hires took the test and scored a mean of 116.8
standard deviation of 14.6. Assume that the population standard deviations of the test scores of all new hires in the current year and the test
scores of all new hires last year can be estimated by the sample standard deviations, as the samples used were quite large. Construct a 95% confidence interval
points with
for 4-, the difference between the mean test score u, of new hires from the current year and the mean test score , of new hires from last year. Then find
the lower limit and upper limit of the 95% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list of
formulas.)
Lower limit:
Upper limit:
Explanation
Check
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Transcribed Image Text:The human resources department of a consulting firm gives a standard creativity test to a randomly selected group of new hires every year. This year, 65 new hires took the test and scored a mean of 113.2 points with a standard deviation of 13.4. Last year, 100 new hires took the test and scored a mean of 116.8 standard deviation of 14.6. Assume that the population standard deviations of the test scores of all new hires in the current year and the test scores of all new hires last year can be estimated by the sample standard deviations, as the samples used were quite large. Construct a 95% confidence interval points with for 4-, the difference between the mean test score u, of new hires from the current year and the mean test score , of new hires from last year. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit: Upper limit: Explanation Check 2021 McGraw H Education. All Rights Reserved Terms of Use I Privacy I Accessibility MacBook Air 888 4 FI %23 & 1 2 3 5 6. 8 Q E R. Y A D H K C V alt alt tion command command option
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