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 8.161 ​ounces, with a sample standard deviation of 0.048 ounce. Complete parts​ (a) and​ (b). Click here to view page 1 of the critical values for the t Distribution. LOADING... Click here to view page 2 of the critical values for the t Distribution. LOADING... a. Is there evidence that the population mean amount is different from 8.17 ​ounces? (Use a 0.10 level of​ significance.) Find the critical values of the t distribution Determine the​ p-value and interpret its meaning.

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
8.161
​ounces, with a sample standard deviation of
0.048
ounce. Complete parts​ (a) and​ (b).
Click here to view page 1 of the critical values for the t Distribution.
LOADING...
Click here to view page 2 of the critical values for the t Distribution.
LOADING...
a. Is there evidence that the population mean amount is different from
8.17
​ounces? (Use a
0.10
level of​ significance.)
Find the critical values of the t distribution
Determine the​ p-value and interpret its meaning.
 
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