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751 body temperature measurements were taken. The sample data resulted in a sample mean of 98.1 F and a sample standard deviation of 0.7 F. Use the traditional method and a 0.05 significance level to test the claim that the mean body temperature is less than 98.6 F.

Sagot :

The mean value of the sample is 98.1 F and its standard deviation is 0.7 F.

The margin of error of the mean value is given by 0.7/sqrt(751) = 0.7/27.4 = 0.026 (rounded to the nearest thousandth)

Using the Z test, we got: Z = (98.6 - 98.1)/(0.026) = 0.5/0.026 = 196

Therefore, the mean value of the sample is incompatible with 98.6 and we can claim that the mean body temperature is less than it.

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