Use the standard normal distribution or the t-distribution to construct a 90% confidence interval for the population mean. Justify your decision. If neither distribution can be used,explain why. Interpret the results.In a random sample of 46 people, the mean body mass index (BMI) was 27.8 and the standard deviation was 6.09.Which distribution should be used to construct the confidence interval? Choose the correct answer below.○ A. Use a t-distribution because the sample is random, the population is normal, and σ is unknown.○ B. Use a normal distribution because the sample is random, the population is normal, and σ is known.○ C. Use a t-distribution because the sample is random, n ≥30, and σ is unknown.○ D. Use a normal distribution because the sample is random, n ≥30, and σ is known.○ E. Neither a normal distribution nor a t-distribution can be used because either the sample is not random, or n <30, and the population is not known to be normal. Use the standard normal distribution or the t-distribution to construct a 90% confidence interval for the population mean. Justify your decision. If neither distribution can be used,explain why. Interpret the results.In a random sample of 46 people, the mean body mass index (BMI) was 27.8 and the standard deviation was 6.09.○ A. The 90% confidence interval is ( . ).(Round to two decimal places as needed.)○ B. Neither distribution can be used to construct the confidence interval.Interpret the results. Choose the correct answer below.○ A. With 90% confidence, it can be said that the population mean BMI is between the bounds of the confidence interval.OB. If a large sample of people are taken approximately 90% of them will have a BMI between the bounds of the confidence interval.○ C. It can be said that 90% of people have a BMI between the bounds of the confidence interval.○ D. Neither distribution can be used to construct the confidence interval.

The provided information is as follows:The total number of random samples is .The mean body mass…

Answered: Use the standard normal distribution or…

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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without using the negative binomial distribution

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