A regulation lacrosse ball should weigh 154 grams. A company produces lacrosse balls for the PLL. To help ensure a high degree of accuracy, a random sample of 20 lacrosse balls is drawn from the production line every 45 minutes and each lacrosse ball is measured for accuracy. If the average weight of the sample is found to be significantly different than 154 grams, then the production line is shut down for inspection. The mean weight of a recent sample of 20 lacrosse balls was found to be 167.98 grams. Use the p-value method to test the hypothesis that the mean weight of a lacrosse ball produced by this company is different than 154 grams, using α=0.02α=0.02. Assume that the distribution of weights of all lacrosse balls produced by this company is known to be approximately normally distributed with a standard deviation of 21.6 grams. State the null and alternative hypothesis for this test.  H0= H1= Determine the test statistic for the hypothesis test. Round the solution to two decimal places. = Determine the p-value for the hypothesis test. Round the solution to four decimal places

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A regulation lacrosse ball should weigh 154 grams.

A company produces lacrosse balls for the PLL. To help ensure a high degree of accuracy, a random sample of 20 lacrosse balls is drawn from the production line every 45 minutes and each lacrosse ball is measured for accuracy. If the average weight of the sample is found to be significantly different than 154 grams, then the production line is shut down for inspection.

The mean weight of a recent sample of 20 lacrosse balls was found to be 167.98 grams.

Use the p-value method to test the hypothesis that the mean weight of a lacrosse ball produced by this company is different than 154 grams, using α=0.02α=0.02. Assume that the distribution of weights of all lacrosse balls produced by this company is known to be approximately normally distributed with a standard deviation of 21.6 grams.

State the null and alternative hypothesis for this test. 

H0=

H1=

Determine the test statistic for the hypothesis test. Round the solution to two decimal places. =

Determine the p-value for the hypothesis test. Round the solution to four decimal places. =

 

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