Question

1. You will need your ticker code (company abbreviation) for stock prices for this question. Use your ticker code to obtain the closing prices for the following two time periods to obtain two data sets: March 2, 2019 to March 16, 2019 Data set A February 16, 2019 to February 28, 2019 Data set B Take the closing prices from data set B and add 0.5 to each one of them. Treat data sets A and B as hypothetical sample level data on the weights of newborns whose parents smoke cigarettes (data set A), and those whose parents do not (data set B). a) Conduct a hypothesis test to compare the variances between the two data sets. b) Conduct a hypothesis to compare the means between the two data sets. Selecting the assumption of equal variance or unequal variance for the calculations should be based on the results of the previous test. c) Calculate a 95% confidence interval for the difference between means. • Data set A: total= 677.98, mean= 67.798, n= 10, variance= 0.663084, std devition= 0.814299972 • Data set B: total= 574.24, mean=71.78, n=8, variance= 0.727143, std devition= 0.852726719

 Do not use excel function for p value.  Show all your work

2. Take data sets A and B and delete duplicated values such that each value is unique even when pooling the two data sets. Just like with the previous problem, treat data sets A and B as hypothetical data on the weights of children whose parents smoke cigarettes, and those whose parents do not, respectively.

1. Calculate the expected value of the Wilcoxon Rank-Sum test statistic E(W_X) assuming the null hypothesis of equal medians being true.
2. Conduct a Wilcoxon Rank-Sum test on the data.

• Data set A: total= 677.98, mean= 67.798, n= 10, variance= 0.663084, std devition= 0.814299972
• Data set B: total= 574.24, mean=71.78, n=8, variance= 0.727143, std devition= 0.852726719
• Do not use excel function for p value.
• Show all your work

Answer 1

Solution: Here concept of F-test and t-test is used.