Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of = 1.3

image text in transcribedimage text in transcribed

Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of = 1.3 kg and a standard deviation of = 4.8 kg. Complete parts (a) through (c). a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is 0.2424 (Round to four decimal places as needed.) a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is 0.2611. (Round to four decimal places as needed.) b. If 25 male college students are randomly selected, find the probability that their mean weight gain during freshman year is between 0 kg and 3 kg. The probability is 0.9024. (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? A. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. OB. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. C. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. D. Since the weight gain exceeds 30, the distribution of sample means is a normal distribution for any sample size.

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Introduction to Real Analysis

Authors: Robert G. Bartle, Donald R. Sherbert

4th edition

471433314, 978-1118135853, 1118135857, 978-1118135860, 1118135865, 978-0471433316

More Books

Students also viewed these Mathematics questions

Question

Explain the regulation of the secretions of the small intestine.

Answered: 1 week ago