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 8.159 ounces, with a sample standard deviation of 0.044 ounce. Complete parts (a) and (b). Click here to view page 1 of the critical values for the t Distribution. Click here to view page 2 of the critical values for the t Distribution. 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. Họ: u = 8.17 H1: u + 8.17 (Type integers or decimals.) Identify the critical value(s). The critical value(s) is(are)O (Round to four decimal places as needed. Use a comma to separate answers as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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 8.159 ounces, with a sample standard deviation of 0.044 ounce. Complete parts (a) and (b).
Click here to view page 1 of the critical values for the t Distribution.
Click here to view page 2 of the critical values for the t Distribution.
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.
Họ: u = 8.17
H1: u + 8.17
(Type integers or decimals.)
Identify the critical value(s).
The critical value(s) is(are)O
(Round to four decimal places as needed. Use a comma to separate answers as needed.)
Transcribed Image Text: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 8.159 ounces, with a sample standard deviation of 0.044 ounce. Complete parts (a) and (b). Click here to view page 1 of the critical values for the t Distribution. Click here to view page 2 of the critical values for the t Distribution. 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. Họ: u = 8.17 H1: u + 8.17 (Type integers or decimals.) Identify the critical value(s). The critical value(s) is(are)O (Round to four decimal places as needed. Use a comma to separate answers as needed.)
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