The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and astandard devilation of 5 ounces. 35 randomly selected people are surveyed. Round all answers to 4 decimalplaces where possible.a. What is the distribution of X? X Nb. What is the distribution of z? - N(c. What is the probability that one randomly selected person drinks between 14.6 and 15.3 ounces ofcoffee per day?d. For the 35 people, find the probability that the average coffee consumption is between 14.6 and 15.3ounces of coffee per day.e. For part d), is the assumption that the distribution is normal necessary? Yesf. Find the IQR for the average of 35 coffee drinkers.NoQ1 =ouncesQ3 =ouncesIQR:ounces

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Answered: The amount of coffee that people drink…

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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Nurses wondered if birth weights of babies are going up. They knew that the average birth weight of a baby last year was 7.6 pounds. A random sample of 15 weights of babies at the hospital where the nurses work gave an average birth weight of 7.9 pounds. Nurses felt that the birth weights this year were normally distributed. Which of the following is true about the distribution of sample means? Choose the correct answer below. O A. Even though the sample size is less than 30, the distribution of sample means will be normal because the population data follow a normal distribution. OB. The distribution of sample means will be normal regardless of the shape of the data in the population. Oc. Since the sample size is less than 30, the population data cannot be normally distributed. Therefore, the distribution of sample means will not be normally distributed. D. The distribution of sample means will not be normal even though the population data followed a normal distribution because the…
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