Past data show the mean temperature of humans to be 98.6 degrees F. Some recent data for a sample of 26 females 1 to 4 times daily for three days yielded a total of 123 measurements. This sample data had a mean temperature of 98.4 degrees F with a standard deviation of 0.7 degrees F. Perform a hypothesis test to judge whether the normal body temperature of women is less than 98.6 degrees F at a 0.01 level of significance
Past data show the mean temperature of humans to be 98.6 degrees F. Some recent data for a sample of 26 females 1 to 4 times daily for three days yielded a total of 123 measurements. This sample data had a mean temperature of 98.4 degrees F with a standard deviation of 0.7 degrees F. Perform a hypothesis test to judge whether the normal body temperature of women is less than 98.6 degrees F at a 0.01 level of significance
State the hypotheses.
That is, there is no evidence to conclude that the mean temperature of women is less than 98.6 degrees F.
That is, there is evidence to conclude that the mean temperature of women is less than 98.6 degrees F.
Obtain the value of the test statistic.
The value of the test statistic is obtained below:
The required value is,
Thus, the value of the test statistic is –1.46.
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