Answered: Question 6 0.5 pts 3.A A 90% confidence…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Please help me with Question 3A only. It is a multiple-choice question.

Transcribed Image Text:corresponding 95% interval is repeated 100 times, 95 D33. Suppose that a random sample of 50 bottles of a particular brand of cough syrup is selected and the alcohol content of each bottle is determined. Let u denote the average alco- hol content for the population of all bottles of the brand under study. Suppose that the resulting 95% confidence interval is (7.8, 9.4). a. Would a 90% confidence interval calculated from this same sample have been narrower or wider than the given interval? Explain your reasoning. b. Consider the following statement: There is a 95% chance that u is between 7.8 and 9.4. Is this state- ment correct? Why or why not? c. Consider the following statement: We can be highly confident that 95% of all bottles of this type of cough have an alcohol content that is between 7.8 and 9.4. Is this statement correct? Why or why not? syrup d. Consider the following statement: If the process of selecting a sample of size 50 and then computing the of the resulting intervals will include u. Is this state- ment correct? Why or why not?

Question 6
0.5 pts
3.А
A 90% confidence interval will be wider. The z critical value for a 90% confidence level is 1.645, smaller than
the z of 1.96 for the 95% confidence level, thus producing a narrower interval.
A 90% confidence interval will be narrower. The z critical value for a 90% confidence level is 1.645, smaller
than the z of 1.96 for the 95% confidence level, thus producing a narrower interval.
O A 90% confidence interval will be wider. The z critical value for a 90% confidence level is 1.945, smaller than
the z of 1.96 for the 95% confidence level, thus producing a narrower interval.
A 90% confidence interval will be narrower. The z critical value for a 90% confidence level is 1.945, smaller
than the z of 1.96 for the 95% confidence level, thus producing a narrower interval.

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