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Research A stated that the mean temperature of humans is 98.6FHowever researcher

ID: 2915415 • Letter: R

Question

Research A stated that the mean temperature of humans is 98.6FHowever researchers (B) claim that the normal temperature of womanis less than that. They measured the temperatures of 26females 1-4 times daily for 3 days to get a total of 123measurements. The sample data yeilded a mean of 98.4F and astandard deviation of 0.7F. Using a significance level of0.01 test the claim of these researchers. I need to see how you got the ansswer Research A stated that the mean temperature of humans is 98.6FHowever researchers (B) claim that the normal temperature of womanis less than that. They measured the temperatures of 26females 1-4 times daily for 3 days to get a total of 123measurements. The sample data yeilded a mean of 98.4F and astandard deviation of 0.7F. Using a significance level of0.01 test the claim of these researchers. I need to see how you got the ansswer

Explanation / Answer

Null hypothesis, Ho: = 98.6 Alternate hypothesis, Ha: < 98.6 sample mean, x = 98.4 sample standard deviation, s = 0.7 sample size, n = 123 = 0.01 standard error, e = s/n = 0.063 calculated z = (x-)/e = (98.4-98.6)/0.063 = -3.18 critical z from the z table for significance level = 0.01 is2.33 since the calculated z is less than the critical z so weaccept the null hypothesis. and hence we conclude that the claim that normal temperaturesof women is less than 98.6 is not true.
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