Answered: If we have heterogeneity of variance -…

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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Need help with parts (a) to (d) on this Intro to Probability and Statistics homework problem. Make sure the answers you provide are lengthy. Don't give short answers. Also, make sure your handwriting is neat and readable. Statistically speaking, the typical romantic couple spends 3 hours of qualitytime together each day, with a variance of 1.5 hours. During my teenageyears, I was under the assumption that a friend and I were a couple, but sherecently pushed back on that claim. So, I logged our time spent together over aperiod of 92 days. As it turned out, we spent 2.65 hours together on a typicalday, again with a variance of 1.5 hours. Assuming that all of the time we spendtogether is “quality” and that relationship time spent is governed by the normaldistribution, do I have sufficient statistical evidence to claim that we were, infact, in a romantic relationship? (a) Find and interpret the z-score of our time spent together, specificallyreferencing what information the sign…
When using an Analysis of Variance test, in order to find out which specific means are different from one another which test is used? a. t-test b. post hoc test c. Cohen’s D test d. Chi-square test
We are running a hypothesis test to see if blood pressure of African zebras differs significantly from Arabian horses. We assume blood pressure in both populations is normally distributed and both populations have the same population variance in blood pressure which is unknown to us, so we use the sample variances to estimate the standard error for our calculations. We have a sample of size 9 for the African zebras and a sample of size 16 for the Arabian horses. How many degrees of freedom does our test statistic have?
If the variance in the weights of one sample of 12 oz. cookies is 3 oz. and the variance in a second sample, made in another factory, is only 1 oz. is there a real difference in variances between the two? (Estimate at 95% probability level, using 2-tail test). Use the appropriate test statistic to determine this, and assume there are 9 degrees of freedom for each sample. Yes no maybe none of the above.
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 126126 millimeters, and a variance of 6464. If a random sample of 3939 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 3.33.3 millimeters? Round your answer to four decimal places.
Gestation period is the length of pregnancy, or to be more precise, the interval between fertilization and birth. In Syrian hamsters, the average gestation period is 16 days. Suppose you have a sample of 31 Syrian hamsters who were exposed to high levels of the hormone progesterone when they were pups, and who have an average gestation length of 17.1 days and a sample variance of 26.0 days. You want to test the hypothesis that Syrian hamsters who were exposed to high levels of the hormone progesterone when they were pups have a different gestation length than all Syrian hamsters. Calculate the t statistic. To do this, you first need to calculate the estimated standard error. The estimated standard error is sMM= a. 31, b. 0.5232, c. 0.7328, d. 0.9158. The t statistic is- a. 1.50, b. 2.10, c. 2.63, d. 1.20 Now suppose you have a larger sample size n = 95. Calculate the estimated standard error and the t statistic for this sample with the same sample average and the same…
8 If the analysis of variance F-test leads to the conclusion that at least one of the model parameters is nonzero, can you conclude that the model is the best predictor for the dependent variable y? Can you conclude that all of the terms in the model are important for predicting y? What is the appropriate conclusion?
If, in an analysis of variance, you find that MSTR is greater than MSE, why can you not immediately reject the null hypothesis without determining the F ratio and its distribution? Explain.
Suppose that 90% of Narnians are children, that Narnian children have normallydistributed BMIs with a mean of 25 kg/m2and variance of 64 (kg/m2) 2, and that Narnianadults have normally distributed BMIs with a mean of 30 kg/m2and variance of 100(kg/m2)2. WHO currently categorizes BMIs greater than 30 as obese.a. What is the prevalence of obesity among Narnian children?b. What is the prevalence of obesity among Narnian adults?c. What is the overall prevalence of obesity among Narnians?d. Are age and obesity statistically independent in Narnia?e. What proportion of Narnians are obese children?f. What proportion of obese Narnians are children?
1.idea or explanation for something that is based on known facts but has not yet been proven 2.rejecting the null hypothesis when it's actually true 3.failing to reject the null hypothesis when it's actually false 4.probability of committing type error 5.probability of committing type Il error 6.you can test for effects in only one direction 7.you can test for effects in only two directions 8.test to determine whether two population means are different when the variances are known and the sample size is large 9.hypotheses about the mean of a small sample drawn from a normally distributed population when the population standard deviation is unknown. 10.it is a statement of no difference Choices: A.one minus the power of the test B.chi-square C.null hypothesis D. Two sided test E. Hypothesis F. Z-test G.type I error H. one sided test I.level of significance J. Type III error K. alternative hypothesis L.type II error M. Student t-test
A significant result in an ANOVA indicates that A)the means of two groups are different, B)there is a significant effect of random variance. C)there is a significant effect of systematic variance. D)the intercept of the regression line is not zero.

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If we have heterogeneity of variance - other than we violated an assumption of the test , what else would it tell us?