This Question 1 pt This Test 24 pts 12 of 24 completeD Suppo

This Question: 1 pt This Test: 24 pts 12 of 24 completeD Suppose a professional golfing association requires that the standard deviation of the diameter of a golf ball be less than 0.005 inch. Determine whether these golf balls conform to this requirement at the = 0.10 level of significance. Assume that the population is normally distributed. 1.683 1.682 1.681 1.679 1.683 1.677 1.683 1.676 1.684 1.676 1.676 1.682 What are the correct hypotheses for this test? The null hypothesis is Ho-ELE The alternative hypothesis is H, The alternative hypothesis is H1 L1 all Find the sample standard deviation. Round to five decimal places as needed.) Use s to calculate the value of the test statistic. (Round to two decimal places as needed.) Uie tedhaolegy to detemtstanisics x5= The P-value is Round to three decimal places as needed) Enter your answer in each of the answer boxes Previous QuestionNext Question Submit Test sample Tests and Quizzes Chapter 1 Pre-Test

Solution

Null hypothesis: The standard deviation of the diameter of a gold ball is greater than or equal to 0.005 inch.

Alternative hypothesis: The standard deviation of the diameter of a gold ball is less than 0.005 inch.

sample standard deviation = 0.00316

test statistic (chi-square) = 4.39

The P-value is 0.043

Since the Pvalue is less than the level of significance reject the null hypothesis.There is sufficient evidence to conclude that these golf balls conform to the requirement at the 0.1 level of significance.

Below is the output of the test

Data
Null Hypothesis                        s^2=	0.000025
Level of Significance	0.1
Sample Size	12
Sample Standard Deviation	0.00316
Intermediate Calculations
Degrees of Freedom	11
Half Area	0.05
Chi-Square Statistic	4.393664
Lower-Tail Test
Lower Critical Value	5.57778484
p-Value	0.043043493
Reject the null hypothesis