As a vaccine scientist, you are required to test your newly developed vaccine in two different populations, populations Xand Y to ensure the safety and effectiveness of the vaccine. There are 3190 subjects from database X and 6094 subjects from database Therefore, you must select a number of subjects from populations X and Y to form a group. The newly formed of group must consist of subjects from both populations without repetition. The maximum number of groups which can be formed is denoted as d.
(1) Use Euclidean algorithm to find
2) Find the integers s and tsuch that
3) With the answer obtained from a, what is the ratio of subjects selected from population
4) Find Least Common Multiple for
a. Based on this study, calculate how many more hours per week, on the average, women spend on housework than men.
b. Find the standard error for comparing the means. What factor causes the standard error to be small compared to the sample standard deviations for the two groups? The cause the standard error to be small compared to the sample standard deviations for the two groups.
c. Calculate the 95% confidence interval comparing the population means for women Interpret the result including the relevance of 0 being within the interval or not. The 95% confidence interval for
d. State the assumptions upon which the interval in part c is based. Upon which assumptions below is the interval based? Select all that apply.
A.The standard deviations of the two populations are approximately equal.
B.The population distribution for each group is approximately normal.
C.The samples from the two groups are independent.
D.The samples from the two groups are random.
Which of the following is not a condition for performing inference about a population mean U ? 1) Inference is based on n independent measurements. 2) The population distribution is Normal or the sample size is large (say n > 30). 3) The data are obtained from a SRS from the population of interest. 4) The population standard deviation, ?