The diameter of a spindle in a small motor is supposed to be 5 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of motors to determine whether the mean diameter has moved away from the target. What are the null and alternative hypotheses (H0 = null hypothesis and Ha = alternative hypothesis) ?

(A) H0: Mean = 5 and Ha: Mean is not equal to 5

(B) H0: Mean = 5 and Ha: Mean <5

(C) H0: Mean 5

(D) H0: Mean = 5 and Ha: Mean > 5

Question

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Mathematics

28 February, 23:59

The diameter of a spindle in a small motor is supposed to be 5 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of motors to determine whether the mean diameter has moved away from the target. What are the null and alternative hypotheses (H0 = null hypothesis and Ha = alternative hypothesis) ?

(A) H0: Mean = 5 and Ha: Mean is not equal to 5

(B) H0: Mean = 5 and Ha: Mean <5

(C) H0: Mean 5

(D) H0: Mean = 5 and Ha: Mean > 5

+1

Answers (1)

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Zaire Mcbride · Answer 1

a) H0: mean = 5 and Ha: mean≠ 5

Step-by-step explanation:

In hypothesis testing procedure the trait of null hypothesis is that it always contain an equality sign. We are known that diameter of spindle is known to be 5mm. This our null value. Hence the null hypothesis is

H0:μ=5.

Now for alternative hypothesis we are given that the mean diameter has moved away from the target. This means that mean diameter could be increases or decreases from 5mm. Hence the alternative hypothesis is

Ha:μ≠5