Listed in the data table are amounts of​ strontium-90 (in​ millibecquerels, or​ mBq, per gram of calcium) in a simple random sample of baby teeth obtained from residents in two cities. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Use a 0.01 significance level to test the claim that the mean amount of​ strontium-90 from city​ #1 residents is greater than the mean amount from city​ #2 residents.Complete parts​ (a) and​ (b) below. City #1   City #2 101        117 86          62 121        100 111         85 101         90 104        107 213         110 100        111 290       149 100        133 272        101 145         209 a. What are the null and alternative hypotheses? The test​ statistic, t, is The​ P-value is   State the conclusion for the test. b. Construct a confidence interval suitable for testing the claim that the mean amount of​ strontium-90 from city​ #1 residents is greater than the mean amount from city​ #2 residents.

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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Listed in the data table are amounts of​ strontium-90 (in​ millibecquerels, or​ mBq, per gram of calcium) in a simple random sample of baby teeth obtained from residents in two cities. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Use a 0.01 significance level to test the claim that the mean amount of​ strontium-90 from city​ #1 residents is greater than the mean amount from city​ #2 residents.Complete parts​ (a) and​ (b) below.

City #1   City #2
101        117
86          62
121        100
111         85
101         90
104        107
213         110
100        111
290       149
100        133
272        101
145         209

a. What are the null and alternative hypotheses?
The test​ statistic, t, is
The​ P-value is
 
State the conclusion for the test.
b. Construct a confidence interval suitable for testing the claim that the mean amount of​ strontium-90 from city​ #1 residents is greater than the mean amount from city​ #2 residents.
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