Question

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 about 205 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 48 healthy adults from the region is taken, 205 mg/dL is the mean and 2.89 mg/dL is the standard deviation of the sampling distribution.
If the sample size were increased to 120, the standard deviation of the sampling distribution SD(¯y) would _____________ .

Group of answer choices

a.remain as 20

b.remain as 1.98

c.change to 1.83

d.change to 2.86

please show work

Answer 1

TOPIC:Sampling distribution of the sample mean.

So, the answer is - c. Change to 1.83 (ANSWER).