Question

In: Statistics and Probability

Watch your cholesterol: The mean serum cholesterol level for U.S. adults was 204, with a standard...

Watch your cholesterol: The mean serum cholesterol level for U.S. adults was 204, with a standard deviation of 42.5
(the units are milligrams per deciliter). A simple random sample of 112 adults is chosen. Use the TI-84 calculator.
Round the answers to four decimal places.

Part 1 of 3
What is the probability that the sample mean cholesterol level is greater than 212?
The probability that the sample mean cholesterol level is greater than 212 is?

Part 2 of 3
What is the probability that the sample mean cholesterol level is between 192 and 202?
The probability that the sample mean cholesterol level is between 192 and 202 is?

Part 3 of 3
Would it be unusual for the sample mean to be less than 197?
It (would/wouldnt) be unusual for the sample mean to be less than 197, since the probability is?

Expert Solution

Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(1.9921, TRUE)" to find the probability.

The probability that the sample mean cholesterol level is greater than 212 is

---------------------------------------------------------------------------------------------------------------------

Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(-0.4980, TRUE)" & "=NORM.S.DIST(-2.9881, TRUE)" to find the probability.

The probability that the sample mean cholesterol level is between 192 and 202 is

---------------------------------------------------------------------------------------------------------------------

Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(-1.7431, TRUE)" to find the probability.

It be unusual for the sample mean to be less than 197, since the probability is

orchestra answered 1 year ago

According to one survey, the mean serum cholesterol level for U.S. adults was 203.5 , with...

According to one survey, the mean serum cholesterol level for U.S. adults was 203.5 , with a standard deviation of 43.6. simple random sample of 119 adults is chosen. Find the 46 percentile for the sample mean. Write only a number as your answer . Round to one decimal places (for example : 204.1) . Do not write any units .

The standard serum cholesterol level for adult males is 200mg/100 ml with a sample standard deviation...

The standard serum cholesterol level for adult males is 200mg/100 ml with a sample standard deviation of 16.67mg. For a sample of 36 overweight men, the mean reading is 211mg. Is serum cholesterol elevated in overweight men? Use ? = 0.10. Which of the following is the right information for this hypothesis test above? one-tailed test, right-tailed test, ? = 0.10, n = 36, and ? unknown one-tailed test, right-tailed test, ? = 0.10, n = 36, and ? known...

Assume that the total cholesterol levels for adults are normally distributed with mean cholesterol level of

Assume that the total cholesterol levels for adults are normally distributed with mean cholesterol level of 51.6 mg/dL and standard deviation14.3 mg/dL. Find the probability that an individual will have a cholesterol level greater than 58 mg/dL.

Assume that the cholesterol levels for adults are normally distributed with mean cholesterol level of 51.5...

Assume that the cholesterol levels for adults are normally distributed with mean cholesterol level of 51.5 mg/dL and standard deviation of 14.3 mg/dL. Find the probability that an individual will have a cholesterol level a.) 60 mg/dL, at least b.) 40 mg/dL, at most c.) Between 40 and 60 mg/dL PLZ show work :)

Cholesterol levels are a major concern to health insurance providers. Cholesterol levels in U.S. adults average...

Cholesterol levels are a major concern to health insurance providers. Cholesterol levels in U.S. adults average 215 with a standard deviation of 30. If the cholesterol levels of a sample of 42 U.S. adults is taken, what is the probability that the mean cholesterol level of the sample 1) Will be less than 200? 2) Will be between 205 and 225? 3) Will be greater than 220? 2. Suppose that 36% of the clients of a company use smart phones....

The blood cholesterol levels for U.S. adults are normally distributed, with μ = 202 and σ...

The blood cholesterol levels for U.S. adults are normally distributed, with μ = 202 and σ = 41 (units in milligrams per deciliter). A random sample of 60 U.S. adults are chosen and their cholesterol levels are measured. Find P(x⎯⎯⎯ > 210) for n = 60. Enter your answer as an area under the curve with 4 decimal places. P(x⎯⎯⎯ > 210) =

Assume that 28% of randomly selected adults have high cholesterol (with a level of at least...

Assume that 28% of randomly selected adults have high cholesterol (with a level of at least 240mg/dl. or are taking medicine to reduce cholesterol). Based on results from the National Center for Health Statistics. Assume that a group of five adults is randomly selected. Find the probability that at least one of the adults has high cholesterol, does the result apply to five adults from the same family? why or why not?

A study wants to know whether eating oat bran lowers serum cholesterol level. Suppose eight people...

A study wants to know whether eating oat bran lowers serum cholesterol level. Suppose eight people participate the study. The participants are given the diet of corn flake for two weeks and the cholesterol levels are measured. Then the participants are given the diet of oat bran for two weeks and the cholesterol levels are measured. The results are in the following table: Participant’s ID Corn flake (mmol/L) Oat bran (mmol/L) 1 4.69 3.78 2 6.45 5.37 3 5.96 5.89...

Suppose that cholesterol levels for women in the U.S. have a mean of 188 and a...

Suppose that cholesterol levels for women in the U.S. have a mean of 188 and a standard deviation of 24. A random sample of 20 women in the U.S. is selected. Assume that the distribution of this data is normally distributed. Are you more likely to randomly select one woman with a cholesterol level of more than 200 or are you more likely to select a random sample of 20 women with a mean cholesterol level of more than 200?...

Mean cholesterol level of the general population is known to be µ0 = 175 with a...

Mean cholesterol level of the general population is known to be µ0 = 175 with a known standard deviation σ = 40. Assume that n = 36 smokers were randomly selected and their cholesterol levels were recorded as x1, . . . , x25. It is speculated that mean cholesterol level of smokers (denoted by µ) may be different from µ0 = 175. In testing H0 : µ = 175 vs. HA : µ /= 175 at the α =...