MATH 211 Week 3 Assignment | Embry Riddle Aeronautical University | Assignment Help
- embry-riddle-aeronautical-university / MATH 211
- 04 May 2021
- Price: $12
- Mathematics Assignment Help / statistics
MATH 211 Week 3 Assignment | Embry Riddle Aeronautical University | Assignment Help
StatCrunch
Assignment 2
First save this
file to your computer. Answer each of the following questions, then resave the
file along with your answers and turn it in using the assignment link in Module
3, Activity 4.The first four problems are worth 10 points each. Problems 5 and
6 are worth 30 points each.
1. If the
original sample is 48, 55, 43, 61, 39, which of the following would not
be a possible bootstrap sample? Explain why it wouldn’t be.
a) 48, 55, 43,
61, 39
b) 43, 39, 56,
43, 61
c) 55, 48, 55,
48, 61
d) 39, 39, 39,
39, 39
2. The following
bootstrap output is for mileage of a random sample of 25 mustang cars.
Based on a 90%
confidence interval, which of the following would not be a plausible value of the
population mean, µ? Explain why it wouldn’t be.
b) 80.01
c) 55
d) 52
3. Which of the
following p-values would provide more evidence in support of the alternate
hypothesis and against the null hypothesis? Explain your answer.
a) 0.15
b) 0.85
c) 0.009
d) 0.05
4. In a sample
of 56 addicts, 28 were given a new drug to help them overcome their addiction,
while the remaining 28 were given the current drug. The following is the output
from a randomization test for the difference in the proportion of addicts
suffering relapses.
a) What is the
difference in proportions in the original data?
b) What is the
p-value and what does it mean in terms of this specific problem?
In StatCrunch
Assignment 1A, you selected a random sample of 30 StatCrunch U students and
gathered some survey data regarding those students. Use the StatCrunch data
file you created to complete the remainder of this assignment.
5. Construct a
bootstrap distribution of the credit card debt data from your sample using 3000
resamples.
a) Paste a copy
of your distribution here. (With a PC, you can press the control-alt-fn-F11
keys to copy the window showing the distribution.)
b) What is the
mean of your original sample?
c) What is the
95% confidence interval estimate of the population mean obtained from your
bootstrap distribution?
6. Suppose you
want to compare the amount of credit card debt for males and females. The null
hypothesis for this problem would be no difference in the mean amount of credit
card debt for males and females and the alternate hypotheses would be that
there is a difference in mean amounts of credit card debt. Conduct a randomization test for two means
with 3000 randomizations. (Your input menu should be as follows.)
a) Paste the
output from your randomization test here.
b) What is the
mean difference in credit card debt of the two groups in the original data?
c) What p-value did you get in your
randomization? Explain in the context of the problem what the p-value means.
d) Do you think
the data support the null hypothesis of no difference in mean credit card debt
between males and females or the alternate hypothesis that there is a
difference? Explain your answer.