The FMA Company has designed a new type of 16 lb. bowling ball. The company knows that the average man who bowls in a scratch league with the company's old ball has a bowling average of 155. The company asks a random sample of 120 men bowling in scratch leagues to bowl for five weeks with their new ball. The mean of bowling averages for these men with the new ball is 170. The variance is 100. If we want to test the null hypothesis that the new ball does not have the same bowler's average as the last ball using α=0.05, find the test statistic of the necessary test to be held and decide on the hypothesis and interpret your decision?

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The FMA Company has designed a new type of 16 lb. bowling ball. The company knows that the average man who bowls in a scratch league with the company's old ball has a bowling average of 155. The company asks a random sample of 120 men bowling in scratch leagues to bowl for five weeks with their new ball. The mean of bowling averages for these men with the new ball is 170. The variance is 100. If we want to test the null hypothesis that the new ball does not have the same bowler's average as the last ball using α=0.05, find the test statistic of the necessary test to be held and decide on the hypothesis and interpret your decision?

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