Use technology to solve the following problem: A survey reported that in a recent year, the mean serum cholesterol level in milligrams per deciliter for U.S. adults was 198 with a standard deviation Of 36. A random sample of 114 adults was chosen. What is the probability that the mean Cholesterol level is less than 194?
A) 0.4558
B) 0.5442
C) 0.1177
D) 0.8823

Question

Quizplus · Accepted Answer

We can use the z-test to calculate the probability. z = (194 - 198)/(36/sqrt(114)) = -1.5 Using a standard normal distribution table or calculator, we can find the probability that a z-score is less than -1.5 is 0.0668. Therefore, the probability that the mean cholesterol level is less than 194 is: P(z < -1.5) = 0.0668 We can subtract this from 0.5 to find the probability that the mean cholesterol level is greater than or equal to 194: P(z >= -1.5) = 0.5 - 0.0668 = 0.4332 So the probability that the mean cholesterol level is less than 194 is: P(x̄ < 194) = 0.5 - P(z >= -1.5) = 0.5 - 0.4332 = 0.0668 Therefore, the best choice is C.

Use Technology to Solve the Following Problem: a Survey Reported