This Question: 1 pt This Test: 24 pts 12 of 24 completeD Suppose a professional

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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

Explanation / Answer

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

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