Dictate Select IN Paragraph Styles Editing Voice Probability Distributions Assignment b. What is the standard deviation for the number of these 45 men that have high cholesterol? (Round to 1 decimal place.) (3 Directions pt) This assignment mixes topics from Chapters 5 and 6. Answer these questions in your notes. Later, you What is the probability that at least 10 of these 45 men will have high cholesterol? (3 p!) will enter your answers into a form on Blackboard. To minimize the possibility of technical issues 4. The CDC guidelines for cholesterol health are applied to both men and women, but men and (internet, computer, server, etc.), you must first write all answers down, and then after you finish, open women have different distributions of total cholesterol. the submission link and enter them in Blackboard. Leave probabilities as decimals (not percentages). a. What approximate percent of women have total cholesterol that would be considered Unless otherwise stated, round final answers to 4 decimal places. "healthy?" (For this problem, give your answer as a percent, not a decimal. Round your answer to one decimal place.) (3 Problems / Scenario 1: Cholesterol pt) b. What approximate percent of men have total cholesterol that would be considered "healthy?" Cholesterol is a type of fat found in the blood. It is measured as a concentration: the number of (For this problem, give your answer as a percent, not a decimal. Round your answer to one milligrams of cholesterol found per deciliter of blood (mg/dL). A high level of total cholesterol in the decimal place.) (3 PD) bloodstream increases the risk for heart disease. For this problem, assume cholesterol in men and women 5. A group of 256 randomly chosen adult men is selected. How many of them do you expect to follows a normal distribution, and that "adult man" and "adult woman" refers to a man/woman in the U.S have total cholesterol of less than 200 mg/dL? (Round your answer to one decimal place.) over age 20. For adult men, total cholesterol has a mean of 188 mg/dL and a standard deviation of 43 mg/dl. For adult women, total cholesterol has a mean of 193 mg/dL and a standard deviation of 42 (3 pt) mg/dl The CDC defines "high cholesterol" as having total cholesterol of 240 mg/dL or higher, 6. Oatmeal is a food that is high in fiber and low in fat. A dietician says, "People who regularly "borderline high" as having a total cholesterol of more than 200 but less than 240, and "healthy" as eat oatmeal tend to have lower cholesterol." A group of 121 randomly selected adult women who having total cholesterol of 200 or less. A study published in 2017 indicated that about 11.3% of adult men regularly cat oatmeal has a sample mean total cholesterol of 185 mg/dL. and 13.2% of adult women have high cholesterol. Use this scenario for problems 1 - 8. a. What is the probability a randomly selected group of adult women has a sample mean total cholesterol of 185 or less? 1. We will consider several random variables for this scenario in the following problems. For each (4 pt) random variable below, determine if it follows a normal distribution, a binomial distribution, or b. Would this be a significant result? (Choose one.) (4 p!) neither (2 pu) A. Yes B. No C. Not enough information A. Normal B. Binomial C. Neither 7. A researcher measures the total cholesterol of a randomly selected group of 36 adult women The total cholesterol in U.S. men over age 20. and counts the number of them who have high cholesterol. (Assume that 13.2% of adult women The sampling distribution of sample means for when 25 random adult women are sampled have high cholesterol.) and their total cholesterol is measured. a. What is the probability that exactly 4 of these 36 women have high cholesterol? (3 pt) In a group of 25 randomly chosen adult men, the number who have high cholesterol. b. What is the probability that 8 or fewer of these 36 women have high cholesterol? (3 pt) For adult women, the total cholesterol is in my/dl 8. A doctor recommends drastic lifestyle changes for all adults who are in the top 5% of total cholesterol levels. The total cholesterol is measured for each person in a random group of 20 adults (both men a. What total cholesterol level is the cutoff for the top 5% of women? (Round to 1 and women). Then, the sample mean is calculated for that group. The sampling distribution of decimal place.) sample means for the groups if this process were repeated. (4 p!) The number of adult women from a random group of 36 who do not have high cholesterol. b. What total cholesterol level is the cutoff for the top 5% of men? (Round to 1 decimal If a group of 50 random adults (both men and women) is selected, their total cholesterol is place.) (4 pt) measured, and the sample mean is calculated, the sampling distribution of sample means for groups of this size. Scenario 2: Electronic Component 2. An adult woman is randomly selected and her total cholesterol is measured. What is the The manufacturer of a certain electronic component claims that they are designed to last just probability it is in the "borderline high" range? (4 PL) slightly more than 4 years because they believe that customers typically replace their device 3. In a study of 45 randomly selected adult men, the number who have high cholesterol is before then. Based on the information provided by the company, the components should last a counted. (Assume that 11.3% of men have high cholesterol.) mean of 4.24 years with a standard deviation of 0.45 years. For this scenario, assume the lifespans a. How many of these 45 men do you expect to have high cholesterol? (Round to 1 decimal of this component follow a normal distribution. Use this scenario for problems 9 - 13 place.) (3 PL 9. We will consider several random variables for this scenario in the following problems. For each random variable below, determine if it follows a normal distribution, a binomial distribution, or neither. (2 pt ca)
