mpany that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean ne content of 57.4 milligrams. Assume the population is normally distributed and the population standard deviation is 6.9 milligrams. At a = 0.04, can you reject the company's claim? Complete parts (a) through (e). CEFFE Ho: 257.4 H₂:μ<574 B. Ho: 57.4 H₂: *57.4 H₂: H=55 H₂:μ#55 Ho: #57.4 H₂:p=57.4 Find the critical value(s). Select the correct choice below and fill in the answer box within your choice. und to two decimal places as needed.) A. The critical values are ± 2.05. B. The critical value is. ntify the rejection region(s). Choose the correct answer below. A. Fail to reject Ho Q Fail to reject Ho Fail to reject Ho Q A A Reject Ho Reject Ho E 4 Find the standardized test statistic. =(Round to two decimal places as needed.) Reject Ho Reject Ho Q du OD. Ho: 255 Η με 55 OF Ho: *55 Η μ=55

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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(c) Find the standardized test statistic.
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean
caffeine content of 57.4 milligrams. Assume the population is normally distributed and the population standard deviation is 6.9 milligrams. At a = 0.04, can you reject the company's claim? Complete parts (a) through (e).
CETED
OA. Ho: 257.4
Ha: μ< 57.4
OB. Ho: μ=57.4
H₂: H*57.4
C. Ho: k = 55
OD. Ho: με 55
H₂:μ<55
IN
H: #55
OE. Ho: #57.4
OF Ho: *55
Ha: p=57.4
H₂:μ=55
(b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice.
(Round to two decimal places as needed.)
A. The critical values are ± 2.05.
OB. The critical value is.
Identify the rejection region(s). Choose the correct answer below.
VA
OC.
OA
Fail to reject Ho
Fail to reject Ho
Fail to reject Ho
Q
Q
A
Reject Ho
Reject Ho
2
4
(c) Find the standardized test statistic.
z = (Round to two decimal places as needed.)
Reject Ho
Reject Ho
Q
Q
G
Q
4
Transcribed Image Text:A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 57.4 milligrams. Assume the population is normally distributed and the population standard deviation is 6.9 milligrams. At a = 0.04, can you reject the company's claim? Complete parts (a) through (e). CETED OA. Ho: 257.4 Ha: μ< 57.4 OB. Ho: μ=57.4 H₂: H*57.4 C. Ho: k = 55 OD. Ho: με 55 H₂:μ<55 IN H: #55 OE. Ho: #57.4 OF Ho: *55 Ha: p=57.4 H₂:μ=55 (b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) A. The critical values are ± 2.05. OB. The critical value is. Identify the rejection region(s). Choose the correct answer below. VA OC. OA Fail to reject Ho Fail to reject Ho Fail to reject Ho Q Q A Reject Ho Reject Ho 2 4 (c) Find the standardized test statistic. z = (Round to two decimal places as needed.) Reject Ho Reject Ho Q Q G Q 4
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