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Listed in the data table are amounts of​ strontium-90 (in​ millibecquerels, or​ mBq, per gram of​...

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.

City_#1   City_#2
106   117
86 50
121   100
113 85
101 84
104   107
213   110
112   111
290   127
100   133
257   101
145   209

a. Use a 0.05 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.

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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