Can repressed anger lead to higher blood pressure? In a hypothetical study, 16 college students with very high repressed anger scores are called in to have their blood pressure measured. The mean systolic blood pressure for this sample is 124 mm HG. If the mean systolic blood pressure for the population is 120 mm HG with a standard deviation of 10, can you conclude that repressed anger is associated with higher blood pressure? (Set the alpha level at .05)Is your answer the same if you test the hypothesis at .01?

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Description: Can repressed anger lead to higher blood pressure? In a hypothetical study, 16 college students with very high repressed anger scores are called in to have their blood pressure measured. The mean systolic blood pressure for this sample is 124 mm HG.

The mean systolic blood pressure for the population is 120 mm HG with a standard deviation of 10, a sample 16 college students are considered the sample mean is 124 mm HG. Let μ denotes the population mean systolic blood pressure. The claim of the test is that repressed anger is associated with higher blood pressure. The hypothesis is, Null hypothesis: H0:μ≤120 Alternative hypothesis: H1:μ>120 The test statistic is, z=x¯-μσn=124-1201016=42.5=1.6 Thus, the test statistic is 1.6. The hypothesis is right tail. The P-value for right tailed test is, P-value=Pz>1.6=1-Pz<1.6 The probability of z less than 1.6 can be obtained using the excel formula “=NORM.S.DIST(1.6,TRUE)”. The probability value is 0.9452. The required P-value is, P-value=1-Pz<1.6=1-0.9452=0.0548 Thus, the P-value is 0.0548. Decision rule: If P-value≤α, then reject the null hypothesis. Otherwise, do not reject the null hypothesis. Conclusion: The P-value (0.0548) is greater than the level of significance (0.05). Based on the decision rule, do not reject the null hypothesis. Thus, there is no sufficient evidence that the repressed anger is associated with higher blood pressure.For level of significance 0.01: Conclusion: The P-value (0.0548) is greater than the level of significance (0.01). Based on the decision rule, do not reject the null hypothesis. There is no sufficient evidence that the repressed anger is associated with higher blood pressure. Yes, the answer is same for level of significance 0.01.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Can repressed anger lead to higher blood pressure? In a hypothetical study, 16 college students with very high repressed anger scores are called in to have their blood pressure measured. The mean systolic blood pressure for this sample is 124 mm HG. If the mean systolic blood pressure for the population is 120 mm HG with a standard deviation of 10, can you conclude that repressed anger is associated with higher blood pressure? (Set the alpha level at .05)
Is your answer the same if you test the hypothesis at .01?

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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