A premed student in a statistics class is required to do a class project. Intrig

Question

A premed student in a statistics class is required to do a class project. Intrigued by the body temperatures in Data Set 2 Appendix B, she plans to collect her own sample data to test the claim that the median body temperature is less than 98.6°F, as is commonly believed. Because of time constraints, she finds that she has time to collect data from only 12 people. After carefully planning a procedure for obtaining a simple random sample of 12 healthy adults, she measures their body temperatures and obtains the results listed below. Use a 0.05 significance level to test the claim that these body temperatures come from a population with a median that is less than 98.6°F.

97.6 97.5 98.6 98.2 98.0 99.0 98.5 98.1 98.4 97.9 97.9 97.7

Should the test statistic and critical value be x = ___ or z = ___?

b) what is the test statistic?

c)what is the critical value?

what is conclusion?

reject or fail to rejct

Explanation / Answer

H0 : The median is equal to 98.6

H1: The median is less than 98.6.

x = The number of times the less frequent sign occurs

n= The total number of positive and negative signs combined.

x = no of positive sign = 1

n= 11

b) The test statistic = x = 1

c)

Here n < 25

Hence the critical value = x = 2

Here calculated value of x < critical value of x .

Hence we fail to reject null hypothesis.

Conclusion : Median is equal to 98.6.

difference sign 97.6 -1 - 97.5 -1.1 - 98.6 0 tie 98.2 -0.4 - 98 -0.6 - 99 0.4 + 98.5 -0.1 - 98.1 -0.5 - 98.4 -0.2 - 97.9 -0.7 - 97.9 -0.7 - 97.7 -0.9 -

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