Parts D and E A loan officer compares the interest rates for 48-month fixed-rate auto loans and 48-month variable-rate auto loans. Two independent,random samples of auto loan rates are selected. A sample of five 48-month variable-rate auto loans had the following loan rates:2.50% 3.12% 2.880% 3.198 3.22%while a sample of five 48-month fixed-rate auto loans had loan rates as follows:4.028* 3.93% 4.3958 3.658 4.20%Figure 11.7JMP Output of Testing the Equality of Mean Loan Rates forVariable and Fixed 48-Month Auto LoansMeans and Std DeviationsLevelFixedVariablet TestVariable-FixedAssuming equal variancesDifferenceStd Err DifUpper CL DifLover CL DifConfidenceHO: uf- uvNumber55t=p-value=we willExtremely strong-1.05860.1841-0.6341-1.48310.95(a) Set up the null and alternative hypotheses needed to determine whether the mean rates for 48-month variable-rate and fixed-rateauto loans differ,Confidence interval=HO: uf- uvMean4.040602.98200t RatioDE(b) Figure 11.7 gives the JMP output of using the equal variances procedure to test the hypotheses you set up in part a. Assuming thatthe normality and equal variances assumptions hold, use the JMP output and critical values to test these hypotheses by setting aequal to 10, .05, .01, and .001. How much evidence is there that the mean rates for 48-month fixed- and variable-rate auto loans differ?(Round your answer to 3 decimal places.)Prob > |t|Prob > tProb t✔ Answer is complete and correct.0 versus Ha: uf- uv5.751 with 8 dfwe willreject✔ the null hypothesis in favor of the alterative for each a value.Extremely strong ✔ evidence that rates differ.0.0004rejectevidence.| ||Std Dev0.3006990.281055(c) Figure 11.7 gives the p-value for testing the hypotheses you set up in part a. Use the p-value to test these hypotheses by setting aequal to 10, .05, .01, and .001. How much evidence is there that the mean rates for 48-month fixed- and variable-rate auto loans differ?(Round your answer to 4 decimal places.)-5.7510280.00040.9998<0.0002.0✔ Answer is complete and correct.(d) Calculate a 95 percent confidence interval for the difference between the mean rates for fixed- and variable-rate 48-month autoloans. Can we be 95 percent confident that the difference between these means exceeds .4 percent? (Round your answers to 4decimal places.)1.✔ Answer is complete and correct.the null hypothesis in favor of the altemative for each a value.HO with a = .05.versus Ha: uf- uvJ.(e) Use a hypothesis test to establish that the difference between the mean rates for fixed- and variable-rate 48-month auto loansexceeds.4 percent. Use a equal to .05. (Round your t answer to 4 decimal places and other answers to 1 decimal place.)the entire interval is4.

Here we are given JMP output Here we have to find confidence interval for the difference between…

Answered: 180% 3.198 3.22% th fixed-rate auto…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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A random sample of 20 individuals who graduated from harvard ago were asked to report the total amount of debt they had when they graduated from college and the total value of their current investments. the data set is below: Debt Invested 23719 25664 2327 63658 23846 23405 12262 43385 18480 32649 7823 54587 10857 45145 10085 48262 14813 40983 2299 65308 18154 31977 16650 39308 16699 34346 19120 35813 10809 47704 19566 32805 8679 50647 16647 34555 17952 33647 5454 59726 A) using a regression equation for predicting current investment based on college debt. What is the expected change in current investment for each additional dollar of harvard college debt? B) What is the predicted current investment for an individual who had a college debt of $5000? C) What proportion of the variation in current investment is explained by college debt?
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180% 3.198 3.22% th fixed-rate auto loans had loan rates as fo 1958 3.659 4.20% he Equality of Mean Loan Rates for ixed 48-Month Auto Loans