It was always accepted that residents from two nearby cities exercise the same amount. A researcher proposed that the two cities don’t exercise the same. City A asks 36 residents who answered that they exercise on average 2.9 hrs/ week with a standard deviation of 1.1 hrs. City B asks 38 residents who answered they exercise 2.7 hrs/ week with a standard deviation of 1 hr. Test the claim at 0.05 level of significance.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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It was always accepted that residents from two nearby cities exercise the same amount. A researcher proposed that the two cities don’t exercise the same. City A asks 36 residents who answered that they exercise on average 2.9 hrs/ week with a standard deviation of 1.1 hrs. City B asks 38 residents who answered they exercise 2.7 hrs/ week with a standard deviation of 1 hr. Test the claim at 0.05 level of significance.
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