Manufacturing 5. A manufacturer produces pharmaceutical tablets. The target concentration of the active ingredient in each tablet is 100 milligrams, with an acceptable variance of .50 milligrams. For a random sample of 50 tablets, the average concentration is 99.8 milligrams, and the sample variance is .73 milligrams. (Use a = .05) and 1.17 What is the 95% confidence interval around your point estimate of .73? (2 decimals) The 95% CI for the population variance will be between .49 How many degrees of freedom are in your chi-square test? 49 What is the p-value for the chi-square (upper tail)? (4 decimals) 0.0195 What is the standard deviation for the point estimate? (2 decimals) 0.85 What decision do you make? Do not reject Ho; there is not sufficient evidence to conclude that the population variance is unacceptable Reject Ho; the concentration of the active ingredient is lower than expected Reject Ho; the variance in concentration is too large Reject Ho; the concentration of the active ingredient is lower than expected and the variance is too large

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
Question
Manufacturing
5. A manufacturer produces pharmaceutical tablets. The target concentration of the
active ingredient in each tablet is 100 milligrams, with an acceptable variance of .50
milligrams. For a random sample of 50 tablets, the average concentration is 99.8
milligrams, and the sample variance is .73 milligrams. (Use a = .05)
and 1.17
What is the 95% confidence interval around your point estimate of .73? (2 decimals)
The 95% CI for the population variance will be between .49
How many degrees of freedom are in your chi-square test? 49
What is the p-value for the chi-square (upper tail)? (4 decimals) 0.0195
What is the standard deviation for the point estimate? (2 decimals) 0.85
What decision do you make?
Do not reject Ho; there is not sufficient evidence to conclude that the population variance is unacceptable
Reject Ho; the concentration of the active ingredient is lower than expected
Reject Ho; the variance in concentration is too large
Reject Ho; the concentration of the active ingredient is lower than expected and the variance is too large
Transcribed Image Text:Manufacturing 5. A manufacturer produces pharmaceutical tablets. The target concentration of the active ingredient in each tablet is 100 milligrams, with an acceptable variance of .50 milligrams. For a random sample of 50 tablets, the average concentration is 99.8 milligrams, and the sample variance is .73 milligrams. (Use a = .05) and 1.17 What is the 95% confidence interval around your point estimate of .73? (2 decimals) The 95% CI for the population variance will be between .49 How many degrees of freedom are in your chi-square test? 49 What is the p-value for the chi-square (upper tail)? (4 decimals) 0.0195 What is the standard deviation for the point estimate? (2 decimals) 0.85 What decision do you make? Do not reject Ho; there is not sufficient evidence to conclude that the population variance is unacceptable Reject Ho; the concentration of the active ingredient is lower than expected Reject Ho; the variance in concentration is too large Reject Ho; the concentration of the active ingredient is lower than expected and the variance is too large
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