cording to a recent pol, 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 erage about 207 mgid with a standard deviation of about 20 mgid, and 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 leveis of a sample of 49 healthy adults from the region is taken, answer wrts a through d. What shape will the sampling distribution of the mean have? A The sampling distribution of the mean is skowad 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 detemine the shape of the sampling distribution. What is the mean of the sampling distribution? - 207 mgidi. What is the standard deviation? Dy= 286 mg/d. (Round to two decimal places as needed.) If the sample size were increased to 120, how would your answers to parts a-c change? r part a the shape of the distribution would also be normally distributed. r part b, the mean of the sampling distribution would remain as p- 207 mgld

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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Please solve all four parts with explanation.
According to a recent poll, 26% of adults in a certain area have high lavels 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 about 207 mg/dL, with a standard deviation of about 20 mg/dL, and 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 49 healthy adults from the region is taken, answer
parts a through d.
a) What shape will the sampling distribution of the mean have?
O A. 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.
OD. There is not enough information to detemine
shape of the sampling distribution.
b) What is the mean of the sampling distribution?
p= 207 mg/dL
c) What is the standard deviation?
SDy) = 2.86 mg/dl. (Round to two decimal places
d) If the sample size were increased to 120, how would your answers to parts a-c change?
For part a, the shape of the distribution would also be normally distributed.
For part b, the mean of the sampling distribution would remain as = 207 mg/dL.
For part c, the standard deviation of the sampling distribution would change to SDy)- 1.83' mg/dL. (Round to two decimal places as needed.)
Transcribed Image Text:According to a recent poll, 26% of adults in a certain area have high lavels 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 about 207 mg/dL, with a standard deviation of about 20 mg/dL, and 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 49 healthy adults from the region is taken, answer parts a through d. a) What shape will the sampling distribution of the mean have? O A. 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. OD. There is not enough information to detemine shape of the sampling distribution. b) What is the mean of the sampling distribution? p= 207 mg/dL c) What is the standard deviation? SDy) = 2.86 mg/dl. (Round to two decimal places d) If the sample size were increased to 120, how would your answers to parts a-c change? For part a, the shape of the distribution would also be normally distributed. For part b, the mean of the sampling distribution would remain as = 207 mg/dL. For part c, the standard deviation of the sampling distribution would change to SDy)- 1.83' mg/dL. (Round to two decimal places as needed.)
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