Question 26 A manufacturing company produces bearings. One line of bearings is s

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Question 26 A manufacturing company produces bearings. One line of bearings is specified to be 1.64 centimeters (cm) in diameter. A m requires that the variance of the bearings be no more than.001 cm2. The producer is required to test the bearings before they are shipped ajor customer diameters of 16 bearings are measured with a precise instrument, resulting in the following values. Assume bearing diameters are normally distributed. Use the data and a 0.01 to test to determine whether the population of these bearings is to be rejected because of too high a variance. 1.68 1.62 1.63 1.71 1.66 1.63 1.65 1.71 1.64 1.69 1.57 1.64 1.59 1.66 1.63 1.65 Appendix A Statistical Tables (Round your answer to 2 decimal places The value of the test statistic is and we Click if you would like to Show Work for this question: Qper fail to reject the null hypothesis reject the null hypothesis

Explanation / Answer

The statistical software output for this problem is:

One sample variance hypothesis test:
?2 : Variance of variable
H0 : ?2 = 0.001
HA : ?2 > 0.001

Hypothesis test results:

Hence,

Test statistic = 22.1

We fail to reject the null hypothesis.

Variable Sample Var. DF Chi-Square Stat P-value Data 0.0014733333 15 22.1 0.1052

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