Question

In: Statistics and Probability

Consider the following hypothesis test. The null hypothesis is "The mean body temperature for humans is...

Consider the following hypothesis test. The null hypothesis is "The mean body temperature for humans is 98.6 degrees Farenheit." and the alternative hypothesis is "The mean body temperature for humans differs from 98.6 degrees Farenheit." Answer the following questions.

a. "The mean body temperature for humans in fact is 98.6 degrees Farenheit but the result of the sampling lead to the conclusion that the mean body temprature for humans differ from 98.6 degrees Farenheit" is a

A. correct decision
B. Type I error
C. Type II error

b. "The mean body temperature for humans in fact differs from 98.6 degrees Farenheit and the result of the sampling lead to that conclusion" is a

A. Type II error
B. correct decision
C. Type I error

c. "The mean body temperature for humans in fact is 98.6 degrees Farenheit and the result of the sampling do not lead to the rejection of the fact that the mean body temprature is 98.6 degrees Farenheit" is a

A. correct decision
B. Type II error
C. Type I error

d. "The mean body temperature for humans in fact differs from 98.6 degrees Farenheit but the result of the sampling fail to lead that conclusion" is a

A. correct decision
B. Type I error
C. Type II error

Solutions

Expert Solution

a. "The mean body temperature for humans in fact is 98.6 degrees Farenheit but the result of the sampling lead to the conclusion that the mean body temprature for humans differ from 98.6 degrees Farenheit" is a Type I error. [Option(B)]

b. "The mean body temperature for humans in fact differs from 98.6 degrees Farenheit and the result of the sampling lead to that conclusion" is a correct decision. [Option(B)]

c. "The mean body temperature for humans in fact is 98.6 degrees Farenheit and the result of the sampling do not lead to the rejection of the fact that the mean body temprature is 98.6 degrees Farenheit" is a correct decision. [Option(A)]

d. "The mean body temperature for humans in fact differs from 98.6 degrees Farenheit but the result of the sampling fail to lead that conclusion" is a Type II error. [Option(C)]

orchestra answered 2 years ago
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