Solve the following problems, show complete solutions. A. The percentage grade average of the Medical Technology students is normally distributed with a standard deviation of 6.82. A sample of 50 students was drawn and their mean percentage grade was 84.6. Find a 95% confidence interval for the percentage grade of the Medical Technology students. B. A random sample of 12 sticks of a certain cigarette brand has a mean nicotine content of 3.02 mg and a standard deviation of 1.06. Construct a 99% confidence interval for the true average nicotine content of this cigarette brand.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Solve the following problems, show complete solutions.
A. The percentage grade average of the Medical Technology students is normally distributed with a
standard deviation of 6.82. A sample of 50 students was drawn and their mean percentage grade
was 84.6. Find a 95% confidence interval for the percentage grade of the Medical Technology
students.
B. A random sample of 12 sticks of a certain cigarette brand has a mean nicotine content of 3.02 mg
and a standard deviation of 1.06. Construct a 99% confidence interval for the true average nicotine
content of this cigarette brand.
Transcribed Image Text:Solve the following problems, show complete solutions. A. The percentage grade average of the Medical Technology students is normally distributed with a standard deviation of 6.82. A sample of 50 students was drawn and their mean percentage grade was 84.6. Find a 95% confidence interval for the percentage grade of the Medical Technology students. B. A random sample of 12 sticks of a certain cigarette brand has a mean nicotine content of 3.02 mg and a standard deviation of 1.06. Construct a 99% confidence interval for the true average nicotine content of this cigarette brand.
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