A golf club manufacturer claims that golfers can lower their scores by using the manufacturer's newly designed gold clubs. Eight golfers are randomly selected and each is asked to give his or her most recent score. After using the new clubs for one month, the golfers are asked again to give their most recent score. The scores for each golfer are given in the table below. Is there enough evidence to support the manufacturer's claim? Let d= (golf score after using the newly designed golf clubs) - (golf score before using the newly designed golf clubs). Use a significance level of a= 0.1 for the test. Assume that the scores are normally distributed for the population of golfers both before and after using the newly designed clubs. golfer 1 2 3 4 5 6 7 8 Score (old design ) 91 78 80 91 73 84 90 94 Score (new design) 87 81 79 88 77 80 85 89 Step 1 of 5: State the null and alternative hypothesis for the test. Step 2 of 5: Find the value of the standard deviation of the paired differences. Round your answer to two decimal places. Step 3 of 5: Compute the value of the test statistic. Round your answer to three decimal places Step 4 of 5: Find the P-value of the hypothesis test. Round your answer to four decimal places Step 5 of 5: Determine the decision rule for rejecting the null hypothesis Ho. Round to three decimal places. Final decision: Make the decision. draw a conclusion for the hypothesis test
A golf club manufacturer claims that golfers can lower their scores by using the manufacturer's newly designed gold clubs. Eight golfers are randomly selected and each is asked to give his or her most recent score. After using the new clubs for one month, the golfers are asked again to give their most recent score. The scores for each golfer are given in the table below. Is there enough evidence to support the manufacturer's claim? Let d= (golf score after using the newly designed golf clubs) - (golf score before using the newly designed golf clubs). Use a significance level of a= 0.1 for the test. Assume that the scores are
golfer 1 2 3 4 5 6 7 8
Score (old design ) 91 78 80 91 73 84 90 94
Score (new design) 87 81 79 88 77 80 85 89
Step 1 of 5: State the null and alternative hypothesis for the test.
Step 2 of 5: Find the value of the standard deviation of the paired differences. Round your answer to two decimal places.
Step 3 of 5: Compute the value of the test statistic. Round your answer to three decimal places
Step 4 of 5: Find the P-value of the hypothesis test. Round your answer to four decimal places
Step 5 of 5: Determine the decision rule for rejecting the null hypothesis Ho. Round to three decimal places.
Final decision: Make the decision. draw a conclusion for the hypothesis test
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