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Mathematics, 26.08.2020 17:01 XAINEE

A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labeled as 8 ounces, the company wants the packages to contain a mean of 8.17 ounces so that virtually none of the packages contain less than 8 ounces. A sample of 50 packages is selected periodically, and the packaging process is stopped if there is evidence that the mean amount packaged is different from 8.17 ounces. Suppose that in a particular sample of 50 packages, the mean amount dispensed is 8.171 ounces, with a sample standard deviation of 0.052 ounce.1. Is there evidence that the population mean amount is different from 8.17 ounces? (Use a 0.01level of significance.)2. State the null and alternative hypotheses. H0:μ ( ≥, ≤, =, <, >,≠ ) H1:μ ( ≥, ≤, =, <, >,≠ ) (Type integers or decimals.)3. The critical value(s) is(are) (Round to four decimal places as needed. Use a comma to separate answers as needed.)4. The test statistic is (Round to four decimal places as needed.)5. Reject/ Do not reject H0. There is sufficient/insufficient evidence to conclude the population mean amount is different from 8.17ounces.6. The p-value is (Round to four decimal places as needed.)7. Interpret the meaning of the p-value. Choose the correct answer below. A. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than 0.001 ounce below 8.17if the null hypothesis is false. B. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than 0.001 ounce away from8.17 if the null hypothesis is true. A. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than 0.001ounce aboveB. The p-value is the probability of not rejecting the null hypothesis when it is false.

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