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Learning Standard P2-Sample spaces 2: Analyse a sample space using graphs or tables to determine probabilities and identify unusual events for continuous random variables. Question 6 Suppose that the cholesterol levels are normally distributed with a mean of $\mu=160$ (mg/dl) with a standard deviation of $\sigma=40$ (mg/dl). Label the horizontal axis for this normal distribution. a. Label the x-axis according to the Empirical Rule and using the given mean and standard deviation. b. What percent of the people have cholesterol level scores that are within the interval 120 and 200? c. Use the Empirical Rule to determine the probability that a randomly selected person has cholesterol level between 80 and 240. $P(80 < x < 240) =$ d. What is the z-score for a cholesterol level of 210? Is it unusual? e. Compute the probability that a randomly selected person will have a cholesterol level that is higher than 210? Use Desmos - normaldist(0,1) $p(x< \frac{}{})$ (d) f. What cholesterol level separates the bottom 5% from the rest? Inversecdf (normaldist (mean, sd), bottom %)

          Learning Standard P2-Sample spaces 2: Analyse a sample space using graphs or tables to determine probabilities and identify unusual events for continuous random variables.
Question 6
Suppose that the cholesterol levels are normally distributed with a mean of $\mu=160$ (mg/dl) with a standard deviation of $\sigma=40$ (mg/dl). Label the horizontal axis for this normal distribution.
a. Label the x-axis according to the Empirical Rule and using the given mean and standard deviation.

b. What percent of the people have cholesterol level scores that are within the interval 120 and 200?
c. Use the Empirical Rule to determine the probability that a randomly selected person has cholesterol level between 80 and 240.
$P(80 < x < 240) =$
d. What is the z-score for a cholesterol level of 210? Is it unusual?
e. Compute the probability that a randomly selected person will have a cholesterol level that is higher than 210?
Use Desmos - normaldist(0,1)
$p(x< \frac{}{})$
(d)
f. What cholesterol level separates the bottom 5% from the rest?
Inversecdf (normaldist (mean, sd), bottom %)

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learning standard p2 sample spaces 2 analyse a sample space using graphs or tables to determine probabilities and identify unusual events for continuous random variables question 6 suppose t 80002

Added by Heather G.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Kari Hasz

07/12/2022

Step 1

According to the Empirical Rule, the x-axis should be labeled as follows: - Mean ($\mu$) = 160 - $\mu - \sigma = 160 - 40 = 120$ - $\mu + \sigma = 160 + 40 = 200$ - $\mu - 2\sigma = 160 - 2(40) = 80$ - $\mu + 2\sigma = 160 + 2(40) = 240$ - $\mu - 3\sigma = 160 - Show more…

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Learning Standard P2-Sample spaces 2: Analyse a sample space using graphs or tables to determine probabilities and identify unusual events for continuous random variables. Question 6 Suppose that the cholesterol levels are normally distributed with a mean of $\mu=160$ (mg/dl) with a standard deviation of $\sigma=40$ (mg/dl). Label the horizontal axis for this normal distribution. a. Label the x-axis according to the Empirical Rule and using the given mean and standard deviation. b. What percent of the people have cholesterol level scores that are within the interval 120 and 200? c. Use the Empirical Rule to determine the probability that a randomly selected person has cholesterol level between 80 and 240. $P(80 < x < 240) =$ d. What is the z-score for a cholesterol level of 210? Is it unusual? e. Compute the probability that a randomly selected person will have a cholesterol level that is higher than 210? Use Desmos - normaldist(0,1) $p(x< \frac{}{})$ (d) f. What cholesterol level separates the bottom 5% from the rest? Inversecdf (normaldist (mean, sd), bottom %)

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00:01 According to a recent poll, 27 % of adults in certain areas have high levels of cholesterol.

00:06 They report that such elevated levels could be financially devastating to the region's health care system and are a major concern to health insurance providers.

00:14 Assume the standard deviation from the recent study is accurate and known.

00:18 According to recent studies, cholesterol levels and healthy adults from the area average 206 milligrams per deciliter with a standard deviation of about 35 milligrams per deciliter and are roughly normally distributed.

00:40 If the cholesterol levels of a sample of 40 healthy adults from the region is taken answer parts a through d.

00:51 So part a, what's the probability that the mean cholesterol level of the sample will be no more than 200 now, notice 206 is our mean.

01:08 So if i take 206 and subtract 206 and divide, i'm going to get zero.

01:13 And so i can just skip right to the answer.

01:16 This is a 0 .50 probability.

01:22 Part b, what is the probability that the mean cholesterol level of the sample will be between 201 and 211.

01:35 So i'm going to take the probability of 201.

01:39 Minus 206 and i'm going to divide that.

01:43 Now before i do that i'm going to calculate my standard deviation for my sample and what i mean by that is i'm going to take 35 and i'm going to divide it by the square root of 40 and that is going to give me 5 .534.

02:11 So that's the standard deviation, the standard deviation for this sample of 40 that i'm going to be using.

02:20 And again, why am i doing that? because they said the cholesterol level of the sample...

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