MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Explain the circumstances under which we would need to pool the variance for an independent samples t-test
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- A teacher is interested in assessing whether or not there is the same amount of variance in the scores of a particular type of test between male and female students. She believes that the variance for girls is higher than it is for boys. After grading the test she measures the following: In her class, 15 boys had a variance of 460 and 13 girls had a variance of 1,400. Set up hypotheses to test if the teacher’s assumption that the girls’ variance of scores on the test is higher than the boys’ variance. Perform the appropriate test and fully state your results.arrow_forwardOne sample has n=7 and SS=35 and a second sample has n =17 and SS =45. What is the pooled variance for these two samples?arrow_forwardhow to find the Variance for CBT and variance for BT,show step by step pleasearrow_forward
- A researcher was interested in knowing if mean BMI was different between males and females. He obtained the following test results. Choose the correct interpretation of the results: F test p value = 0.03 Two sample t test, assume equal variance = 0.02 Two sample t test, assume unequal variance = 0.06 Mean BMI is higher in males than females. None Mean BMI is not significantly different between males and females. Mean BMI is significantly different between males and females.arrow_forwardPost-hoc tests are necessary for an analysis of variance comparing only two treatment conditions. t or farrow_forwardWhich of the following conclusions is correct for these test results? > bartlett.test(len~river, data=rivers) Bartlett test of homogeneity of variances data: len by river Bartlett's K-squared = 0.61394, df = 4, p-value = 0.5226 %3D Hint* the first line of code should tell you the type of test you are dealing with. There is NO significant difference in variances among the rivers. There is a significant difference in variances among the rivers. There is NO significant difference in means among the rivers.arrow_forward
- A researcher is interested whether a new drug is effective in changing patients' cholesterol levels. She divided 33 patients into 3 groups according to the dosage the patient received. The cholesterol levels of all patients are measured and used as the data for the Analysis of Variance (ANOVA). If she reported the test statistic F = 2.1 What is the degree of freedom for the numerator of the F statistic? What is the degree of freedom for the denominator of the F statistic? What is the P-value of the F-test? (Round to 3 decimals) Given the significance level of 0.01, what can she conclude from the test? *The patients in differnt groups have simliar average cholesterial levels. The drug made no difference. *At least one group of patients have an average cholesterol level that is different from the other groups. The drug may have an effect.arrow_forwardWhat correctly represents the coefficient of determination in terms of the variance that is an output from the analysis of variance table?arrow_forwardA researcher wants to measure average cardiovascular health of university students and compare those scores to the average scores in the general population. Assuming that population variance is known, what statistical test is most appropriate for this study? independent-samples t-test single-sample t-test z-test for sample mean related-samples t-testarrow_forward
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