The mean blood cholesterol level for all men aged 20 to 34 years is μ=188μ=188 mg/dl. We suspect that the mean for cross-country runners is lower. We take a random sample from all cross-country runners and measure the cholesterol level of each runner. We set α=0.10α=0.10 and correctly calculate a p−valuep−value of 0.08. Suppose someone else has additional information unavailable to us and it is known that IN REALITY cross-country runners actually do have lower cholesterol levels. Based on our calculations, what conclusion did we reach and did we make an error? The mean blood cholesterol level for all men aged 20 to 34 years is μ=188μ=188mg/dl. We suspect that the mean for cross-country runners is lower. We take a random sample from all cross-country runners and measure the cholesterol level of each runner. We set α=0.10α=0.10and correctly calculate a p−valuep−valueof 0.08. Suppose someone else has additional information unavailable to us and it is known that IN REALITY cross-country runners actually do have lower cholesterol levels. Based on our calculations, what conclusion did we reach and did we make an error? We rejected H0H0 and made a Type I error. We failed to reject H0H0 and made a Type I error. We rejected H0H0 and made a correct decision. We failed to reject H0H0 and made a correct decision. We rejected H0H0 and made a Type II error. We failed to reject H0H0 and made a Type II error.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The mean blood cholesterol level for all men aged 20 to 34 years is μ=188μ=188 mg/dl. We suspect that the mean for cross-country runners is lower. We take a random sample from all cross-country runners and measure the cholesterol level of each runner. We set α=0.10α=0.10 and correctly calculate a p−valuep−value of 0.08. Suppose someone else has additional information unavailable to us and it is known that IN REALITY cross-country runners actually do have lower cholesterol levels. Based on our calculations, what conclusion did we reach and did we make an error?

The mean blood cholesterol level for all men aged 20 to 34 years is μ=188μ=188mg/dl. We suspect that the mean for cross-country runners is lower. We take a random sample from all cross-country runners and measure the cholesterol level of each runner. We set α=0.10α=0.10and correctly calculate a p−valuep−valueof 0.08. Suppose someone else has additional information unavailable to us and it is known that IN REALITY cross-country runners actually do have lower cholesterol levels. Based on our calculations, what conclusion did we reach and did we make an error?

We rejected H0H0 and made a Type I error.

We failed to reject H0H0 and made a Type I error.

We rejected H0H0 and made a correct decision.

We failed to reject H0H0 and made a correct decision.

We rejected H0H0 and made a Type II error.

We failed to reject H0H0 and made a Type II error.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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