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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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City_#1    City_#2
107    117
86    52
121    100
110    85
101    80
104    107
213    110
141    111
290    115
100    133
271    101
145    209

 

The test statistic is

The​ P-value

State the conclusion for the test.

a reject, There is sufficient evidence to support the claim that the mean amount of​ strontium-90 from city​ #1 residents is greater.

b reject, There is not sufficient evidence to support the claim that the mean amount of​ strontium-90 from city​ #1 residents is greater.

c fail to reject, There is sufficient evidence to support the claim that the mean amount of​ strontium-90 from city​ #1 residents is greater.

d fail to reject, There is not sufficient evidence to support the claim that the mean amount of​ strontium-90 from city​ #1 residents is greater.

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.

___mBq<μ1-μ2<___mBq

Does the confidence interval support the conclusion of the​test?

(yes/no) because the confidence interval contains (zero, only positive values/only negative values)

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.
Transcribed Image Text: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.
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