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In: Statistics and Probability

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. Use a 0.05significance 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.

City_#1

City_#2

102

117

86

62

121

100

120

85

101

80

104

107

213

110

101

111

290

140

100

133

254

101

145

209

The test statistic is ???

​(Round to two decimal places as​ needed.)

The​ P-value is ????

​(Round to three decimal places as​ needed.)

State the conclusion for the test.

A.

Reject the null hypothesis. There is sufficient evidence to support the claim that the mean amount of​ strontium-90 from city​ #1 residents is greater.

B.

Rejectthe null hypothesis. There is notsufficient evidence to support the claim that the mean amount of​ strontium-90 from city​ #1 residents is greater.

C.

Fail to reject the null hypothesis. There is notsufficient evidence to support the claim that the mean amount of​ strontium-90 from city​ #1 residents is greater.

D.

Fail to rejectthe null hypothesis. There is sufficient evidence to support the claim that the mean amount of​ strontium-90 from city​ #1 residents is greater.

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