According to a recent poll, 26% of adults in a certain area have high levels of cholesterol. They report that such elevated levels "could be financially devastating to the regions healthcare system" and are a major concern to health insurance providers. According to recent studies, cholesterol levels in healthy adults from the area average about208mg/dL, with a standard deviation of about 30 mg/dLand are roughly Normally distributed. Assume that the standard deviation of the recent studies is accurate enough to be used as the population standard deviation. If the cholesterol levels of a sample of 41 healthy adults from the region is taken, answer parts a through d. a) What shape will the sampling distribution of the meanhave? A. The sampling distribution of the mean is skewed right. B. The sampling distribution of the mean is skewed left. C. The sampling distribution of the mean is normal. D. There is not enough information to determine the shape of the sampling distribution. b) What is the mean of the sampling distribution? μ=enter your response here mg/dL c) What is the standard deviation? SD(y)=enter your response here mg/dL (Round to two decimal places as needed.)d) If the sample size were

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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According to a recent poll, 26% of adults in a certain area have high levels of cholesterol. They report that such elevated levels "could be financially devastating to the regions healthcare system" and are a major concern to health insurance providers. According to recent studies, cholesterol levels in healthy adults from the area average about208mg/dL, with a standard deviation of about 30 mg/dLand are roughly Normally distributed. Assume that the standard deviation of the recent studies is accurate enough to be used as the population standard deviation. If the cholesterol levels of a sample of

healthy adults from the region is taken, answer parts a through d.

a) What shape will the sampling distribution of the meanhave?

The sampling distribution of the mean is skewed right.

The sampling distribution of the mean is skewed left.

The sampling distribution of the mean is normal.

There is not enough information to determine the shape of the sampling distribution.

b) What is the mean of the sampling distribution?

μ=enter your response here

mg/dL

c) What is the standard deviation?

SD(y)=enter your response here

mg/dL (Round to two decimal places as needed.)d) If the sample size were increased to

90,

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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