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, 2020 to March 16, 2020

Data set A

February 16, 2020 to February 28, 2020

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.

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. Conduct a Wilcoxon Rank-Sum test on the

data.

3.

Take the mean and standard deviation of data set A calculated in problem 1 and

assume that they are population parameters (

?

and

?)

known for the variable fish length

in a population of rainbow trouts in the Coldwater River. Imagine that data set B is a

sample

obtained from a different population in Red River (Chapter 6 problem!).

a) Conduct a hypothesis test to see if the mean fish length in the Red River

population is different from the population in Coldwater River.

b) Conduct a hypothesis test to see if the variance in fish length is different in the

Red River population compared to the variance in the Coldwater population.

4.

An experimental drug is being tested to see if it reduces blood sugar in patients

suffering from diabetes. Each of seven patients will receive both the placebo and the

experimental drugs (treatments given a month apart) for a two week period. The

maximum blood sugar (measured every day) on the second week of treatment is

recorded. The data obtained from such a study is shown below:

Patient Placebo Exp. Drug Difference 125 127 -2 130 100 30 133 110 23 122 87 35 150 102 48 156 140 16 145 146 -1 Mean 137.3 116.0 21.3 SD 13.1 22.1 18.5