A manufacturer of chocolate candies uses machines to package candies as they mov

Question

A manufacturer of chocolate candies uses machines to package candies as they move along a flying 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 essence 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 8.158 ounces, with a sample standard deviation of 0.055 ounce Complete pats (a) and (b). a. Is there evidence that the population mean amount is different from 8.17 ounces? (Use a 0.01 level of significance.) State the null and alternative hypotheses. H_0: mu H_1: mu (Type integers or decimals.) Identify the critical value(s). The critical value(s) is(are). (Round to four decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic. The test statistic is. (Round to tour decimal places as needed.) State the conclusion. H_00. There is evidence to conclude the population mean amount is different from 8.17 ounces.

Explanation / Answer

Sol:

H0:=8.17

H1: 8.17

alpha=0.01

critical values -2.576, 2.576

z=8.158-8.17/0.055/sqrt(50)

=-1.5428

z=-1.5428

test statistic:-1.5428

z lies in the critical region

fail to reject null hypothesis

ACCEPTH0.THERE IS NO SUFFICIENT EVIDENCE TO CONCLUDE POPULATION MEAN IS DIFFERENT FROM

8.17 OUNCES

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