Pre-Calculus for Aviation

StatCrunch Assignment 2 First save this ﬁle to your computer. Answer each of the following quesons, then resave the ﬁle along with your answers and turn it in using the assignment link in Module 3, Acvity 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—No. 56 is not in the original sample. 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 populaon mean, µ? Explain why it wouldn’t be. a) 60.01 b) 80.01 c) 55 d) 52-- The 90% conﬁdence interval would be 52.096 to 80.012 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-- Because of the low p-value, the data support the alternate hypothesis that there is almost no probability that a diﬀerence as large as that in the original data is due to chance. d) 0.05 4. In a sample of 56 addicts, 28 were given a new drug to help them overcome their addicon, while the remaining 28 were given the current drug. The following is the output from a randomizaon test for the diﬀerence in the proporon of addicts suﬀering relapses. a) What is the diﬀerence in proporons in the original data? The diﬀerence in proporons = 0.42857143 b) What is the p-value and what does it mean in terms of this speciﬁc problem? P-Value = .37% Approximately .37% of the simulaons resulted in diﬀerences in proporons as extreme as or more extreme than what was found in the original sample. 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. b) What is the mean of your original sample? 2404.9666 c) What is the 95% confidence interval estimate of the population mean obtained from your bootstrap distribution? 3276.65 to 1639.2 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.)

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