32- Dole Pineapple, Inc., is concerned that the 16-ounce can ofsliced pineapple

Question

32- Dole Pineapple, Inc., is concerned that the 16-ounce can ofsliced pineapple is being overfilled. Assume the standard deviationof the process is .03 ounces. The quality control department took arandom sample of 50 cans and found that the arithmetic mean weightwas 16.05 ounces. At the 5 percent level of significance, can weconclude that the mean weight is greater than 16 ounces? Determinethe p-value.

Explanation / Answer

=0.03, n=50, =16, xbar=16.05 The test hypothesis is Ho:< =16 Ha:>16 The test statistics is Z=(xbar - ) /(/n)=(16.05 - 16)/ (0.03/sqrt(50)) =11.79 The p-value is P(Z>11.79)˜0 Since the p-value is very small, reject Ho.

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