2. The article "Effect of Internal Gas Pressure on the Compression Strength of BeverageCans and Plastic Bottles" (Journal of Testing and Evaluation, 1993: 129–131)includesthe accompanying data on compression strength(Ib) for a sample of 12-oz aluminumcans filled with strawberry drink and another sample filled with cola.BeverageStrawberry DrinkColaSample Size15Sample Mean540Sample SD211555415a. Assuming normally distributed populations, calculate a 95% CI for the ratio of thevariances.b. Use your answer in part (a) to determine whether it can be assumed that thepopulation variances are equal. Construct a 90% Cl for the true average difference inthe compression strengths.c. For the sample of 45 individuals who had taken olanzapine, the article reported(7.38, 9.69) as a 95% CI for true average weight gain (kg). What is a 99% CI?

Given: Formula Used: Confidence Interval for the ratio of the variances. Confidence Interval for…

2. The article "Effect of Internal Gas Pressure on the Compression Strength of Beverage Cans and Plastic Bottles" (Journal of Testing and Evaluation, 1993: 129–131)includes the accompanying data on compression strength(lb) for a sample of 12-oz aluminum cans filled with strawberry drink and another sample filled with cola. Beverage Strawberry Drink Cola Sample Size 15 Sample Mean Sample SD 21 540 15 554 15 a. Assuming normally distributed populations, calculate a 95% Cl for the ratio of the variances. b. Use your answer in part (a) to determine whether it can be assumed that the population variances are equal. Construct a 90% CI for the true average difference in the compression strengths. c. For the sample of 45 individuals who had taken olanzapine, the article reported (7.38, 9.69) as a 95% CI for true average weight gain (kg). What is a 99% CI?

2. The article "Effect of Internal Gas Pressure on the Compression Strength of Beverage Cans and Plastic Bottles" (Journal of Testing and Evaluation, 1993: 129–131)includes the accompanying data on compression strength(lb) for a sample of 12-oz aluminum cans filled with strawberry drink and another sample filled with cola. Beverage Strawberry Drink Cola Sample Size 15 Sample Mean Sample SD 21 540 15 554 15 a. Assuming normally distributed populations, calculate a 95% Cl for the ratio of the variances. b. Use your answer in part (a) to determine whether it can be assumed that the population variances are equal. Construct a 90% CI for the true average difference in the compression strengths. c. For the sample of 45 individuals who had taken olanzapine, the article reported (7.38, 9.69) as a 95% CI for true average weight gain (kg). What is a 99% CI?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

2. The article "Effect of Internal Gas Pressure on the Compression Strength of Beverage
Cans and Plastic Bottles" (Journal of Testing and Evaluation, 1993: 129–131)includes
the accompanying data on compression strength(Ib) for a sample of 12-oz aluminum
cans filled with strawberry drink and another sample filled with cola.
Beverage
Strawberry Drink
Cola
Sample Size
15
Sample Mean
540
Sample SD
21
15
554
15
a. Assuming normally distributed populations, calculate a 95% CI for the ratio of the
variances.
b. Use your answer in part (a) to determine whether it can be assumed that the
population variances are equal. Construct a 90% Cl for the true average difference in
the compression strengths.
c. For the sample of 45 individuals who had taken olanzapine, the article reported
(7.38, 9.69) as a 95% CI for true average weight gain (kg). What is a 99% CI?

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