Archives of the Journal of Internal Medicine claimed that garlic has no effect on blood cholesterol, in other words than the mean drop in cholesterol after treating with raw garlic is 0.0 mg/dL. A clinical trial involving 36 subjects was conducted to test the effectiveness of garlic for lowering cholesterol. The sample mean for the drop in cholesterol was 3.5 mg/dL with a standard deviation of 18.0 mg/dL. Complete the following steps using α=0.01 level of significance to test whether the mean drop in cholesterol is greater than 0.0 mg/dL when treating with raw garlic. (NOTE: All areas are to be reported to four decimal places; all z-scores are reported to two decimal places except the two special cases listed at the bottom of the table.) Insert the following values from the question: μ = Answermg/dL x̅ = Answermg/dL σ = Answermg/dL n = Answer subjects α = Answer Set up the hypothesis statements (no spaces between characters): H0: Answer H1: Answer Based on the hypothesis statements, will you use α or (1 - α) to solve for zcrit? Answer What area will you use to find zcrit? Answer What is the value of zcrit? Answer Use the appropriate formula to solve for ztest: Answer Is the value of ztest further from zero than the value of zcrit? Answer Will you reject or fail to reject the null hypothesis? Answer Does the study provide evidence that the mean drop in cholesterol is greater than 0.0 mg/dL when treating with raw garlic? Answer

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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Archives of the Journal of Internal Medicine claimed that garlic has no effect on blood cholesterol, in other words than the mean drop in cholesterol after treating with raw garlic is 0.0 mg/dL. A clinical trial involving 36 subjects was conducted to test the effectiveness of garlic for lowering cholesterol. The sample mean for the drop in cholesterol was 3.5 mg/dL with a standard deviation of 18.0 mg/dL.

Complete the following steps using α=0.01 level of significance to test whether the mean drop in cholesterol is greater than 0.0 mg/dL when treating with raw garlic.

(NOTE: All areas are to be reported to four decimal places; all z-scores are reported to two decimal places except the two special cases listed at the bottom of the table.)

Insert the following values from the question:

μ = Answermg/dL

x̅ = Answermg/dL

σ = Answermg/dL

n = Answer subjects

α = Answer

Set up the hypothesis statements (no spaces between characters):

H₀: Answer

H₁: Answer

Based on the hypothesis statements, will you use α or (1 - α) to solve for z_crit? Answer

What area will you use to find z_crit? Answer

What is the value of z_crit? Answer

Use the appropriate formula to solve for z_test: Answer

Is the value of z_test further from zero than the value of z_crit? Answer

Will you reject or fail to reject the null hypothesis? Answer

Does the study provide evidence that the mean drop in cholesterol is greater than 0.0 mg/dL when treating with raw garlic? Answer

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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