Choose the following biggest problem caused by unequal sample sizes is The calculations are extremely difficult. The statistical results are only approximate. Unequal sample sizes result in confounding. Unequal sample sizes indicate a poor experimental design.

5. please use a .05 significance level for all the problems. Show all your work.When you perform a test, you should at least tell me what your hypothesis is, the teststatistic and your conclusions based on your calculations. Medical researchers evaluating a drug for Multiple Sclerosis found in a sample of 12patients that the mean number of relapses was 7 and the sample variance of relapse was 4.41. Use a 0.05 signicance level to test the claim that the drug has a mean number of relapses less than 8 (please use both the P-value approach and the critical value approach to conduct your tests).

A single question with sub-parts. Please answer all parts step by step. I appreciate it :(

12) Please provide a correct answer with a full method explanation and do not copy and past from other similar questions.

In a single-factor ANOVA problem involving 4 populations, assume that the sample sizes from each population are not equal, and that the total number of observations is 24. If SSTr = 12 and SST = 22, then MSTr = __________, MSE = __________, and the test statistic value = __________.

You are working on the design for a study on the proportion of adults who work remotely in the U.S. The original design sought to limit the margin of error to 0.1 and the new design seeks to limit the margin of error to 0.01. What must be the corresponding change to the minimum sample size? A. It must increase B. Nothing, because the minimum sample size doesn't depend on margin of error C. It must decrease

A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained if she wishes the estimate to be within five percentage points with 95% confidence, assuming that (a) she uses the estimates of 22.9% male and 19.5% female from a previous year? (b) she does not use any prior estimates?

We want to estimate the proportion of cities that have private refuse collectors. We want to estimate the population proportion with a margin of error of 0.10, with a confidence level of 90%, with a prior population proportion of 40%. What is the required sample size?

A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained if he wishes the estimate to be within five percentage points with 99% confidence, assuming that (a) he uses the estimates of 21.6% male and 18.7% female from a previous year? (b) he does not use any prior estimates?

You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles.  You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.025 margin of error at a 80% level of confidence. Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of ˆp=0.225p^=0.225 . Using this new information. what sample size should you gather in order to obtain a 0.025 margin of error? Round your answer up to the nearest whole number.