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 8.187 ​ounces, with a sample standard deviation of 0.058 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...       Question content area bottom Part 1 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.   H0​: μ ▼   equals= less than< greater than or equals≥ greater than> not equals≠ less than or equals≤ enter your response here H1​: μ ▼   not equals≠ greater than> greater than or equals≥ equals= less than or equals≤ less than< enter your response here

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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
8.187
​ounces, with a sample standard deviation of
0.058
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...
 
 
 

Question content area bottom

Part 1
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.
 
H0​:
μ
 
equals=
less than<
greater than or equals≥
greater than>
not equals≠
less than or equals≤
enter your response here
H1​:
μ
 
not equals≠
greater than>
greater than or equals≥
equals=
less than or equals≤
less than<
enter your response here
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