e. Compare the results of parts (a) through (d) to those when the standard deviation is 0.030. When the standard deviation is 0.030, ZSTAT = - 1.24, the p-value is 0.216, and the 99% confidence interval is 0.9846 sus 1.0054. Using the critical value approach, Ho. This result is V the result found in part (a), because ZSTAT has in absolute value.

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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Question
The manager of a paint supply store wants to determine whether the mean amount of paint contained in 1-gallon cans purchased from a nationally known
manufacturer is actually 1 gallon. You know from the manufacturer's specifications that the standard deviation of the amount of paint is 0.009 gallon. You select a
random sample of 55 cans, and the mean amount of paint per 1-gallon can is 0.995 gallon. Complete parts (a) through (e) below.
Click here to view page 1 of the cumulative standardized normal distribution table.
Click here to view page 2 of the cumulative standardized normal distribution table.
0.9919 Sus 0.9981 (Round to four decimal places as needed.)
Draw an appropriate conclusion. Choose the correct answer below.
A. Reject Ho. The value 1.0 is within the confidence interval.
B. Fail to reject Ho. The value 1.0 is outside of the confidence interval.
C. Fail to reject Ho. The value 1.0 is within the confidence interval.
D. Reject Ho. The value 1.0 is outside of the confidence interval.
d. Compare the results of (a) and (c). Are the results the same?
Yes
X No
e. Compare the results of parts (a) through (d) to those when the standard deviation is 0.030.
When the standard deviation is 0.030, ZSTAT = - 1.24, the p-value is 0.216, and the 99% confidence interval is 0.9846 sµs 1.0054.
Using the critical value approach,
Ho. This result is
V the result found in part (a), because ZSTAT has
V in absolute
value.
Transcribed Image Text:The manager of a paint supply store wants to determine whether the mean amount of paint contained in 1-gallon cans purchased from a nationally known manufacturer is actually 1 gallon. You know from the manufacturer's specifications that the standard deviation of the amount of paint is 0.009 gallon. You select a random sample of 55 cans, and the mean amount of paint per 1-gallon can is 0.995 gallon. Complete parts (a) through (e) below. Click here to view page 1 of the cumulative standardized normal distribution table. Click here to view page 2 of the cumulative standardized normal distribution table. 0.9919 Sus 0.9981 (Round to four decimal places as needed.) Draw an appropriate conclusion. Choose the correct answer below. A. Reject Ho. The value 1.0 is within the confidence interval. B. Fail to reject Ho. The value 1.0 is outside of the confidence interval. C. Fail to reject Ho. The value 1.0 is within the confidence interval. D. Reject Ho. The value 1.0 is outside of the confidence interval. d. Compare the results of (a) and (c). Are the results the same? Yes X No e. Compare the results of parts (a) through (d) to those when the standard deviation is 0.030. When the standard deviation is 0.030, ZSTAT = - 1.24, the p-value is 0.216, and the 99% confidence interval is 0.9846 sµs 1.0054. Using the critical value approach, Ho. This result is V the result found in part (a), because ZSTAT has V in absolute value.
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