4A researcher wanted to determine if using an octane booster wouldincrease gasoline mileage. A random sample of seven cars were selectedand were driven for two weeks without the booster and two weeks withthe booster. Test the effectiveness of the octane booster at a=0.05.Assume that the normality assumption is satisfied.2 3CarWithoutWith1Std.Dev.22.3 25.1 20.9 28.7 23.9 28.5 24.8 24.886 2.92123.7 29.0 26.1 25.786 3.069-0.900 0.69324.1 26.2 21.3 30.1Difference -1.8 -1.1 -0.4What is the p-value?O Between 20 and .30O Between .02 and .05O Between .01 and .025O Between .025 and .05tvO Between .01 and .02O Between .005 and .01O Between .05 and .10%5Q Search or enter addressR4A65&7-1.4 0.2 -0.5 -1.3AS6+78Mean(9)0

Given, A researcher wanted to determine if using an octane booster would increase gasoline mileage.…

Answered: the booster. Test the effectiveness of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A) What is t critical? State what you see on the t-table and use that value for further calculations. B) What is t value?
Consider the following simple relationship between aggregate savings St and aggregate income Yt: St= a + BYt + εt, t = 1, ..., T. For some country this relationship is estimated by OLS over the years 1956-2005 (T = 50). The results are given below: = Variable Coefficients Constant 38.90 Y 0.098 22.57, R² = 0.93, DW = 0.70 Standard error 4.57 0.009 where ô is the standard error of regression, R² is the multiple correla- tion coefficient, and DW is the Durbin-Watson statistic. (a) Explain why the result indicate that there may be a problem of positive autocorrelation. Can you give arguments why in eco- nomic models positive autocorrelation is more likely than nega- tive one?
Find the critical value, te, for c=0.90 and n = 15. %3D O A. 1.753 О В. 2.624 O C. 2.145 D. 1.761
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Our regression on the Titanic data returned the following result: coef std err t P>|tl [0.025 0.975] Intercept 1.3139 0.077 17.032 0.000 1.162 1.465 C(sex) [T.male] -0.4835 0.032 -15.299 0.000 -0.546 -0.421 alone [T.True] 0.0225 0.032 0.706 0.480 -0.040 0.085 pclass -0.2017 0.023 -8.932 0.000 -0.246 -0.157 age -0.0056 0.001 -5.004 0.000 -0.008 -0.003 fare 0.0001 0.000 0.322 0.748 -0.001 0.001 From this regression results, which of the following independent variable(s) do not have a statistically significant relationship with the dependent variable? Please select all that apply. age pclass fare alone
We are trying whether, a new low fat diet actually helps obese people lose weight. 100 randomly obese people are assigned to group 1 and put on a low fat-diet. another 100 people are assigned to group 2 and put on a diet of approximately the same amount of food, but not as low in fat. After 4 months, the mean net weight loss was 9.31 pounds for group 1 with a standard deviation of 4.67 pounds, and for group 2 the mean net weight loss was 7.40 pounds with a standard deviation of 4.04 pounds. Is the low-fat diet more effective? Perform a hypothesis test at the 5% significance level a) Define Parameters and state null and alternative hypothesis b) Find test statistics c) Find p-value d) Conclusion
7. When a 0.01, the critical values are %3D A. ±1.65 B. +1.96 C. +2.33 D. +2.58 Scanned with CamScanner
There are a thousand men in a cohort for which prostate cancer prevalence is 2.2%.The test we're using for prostate cancer has a sensitivity of 0.6 (gets the diagnosis right 60% of the time if a patient has prostate cancer) specificity of 0.95 (gets the diagnosis right 95% of the time if a patient does not have prostate cancer) Fill in the tree with the correct number of patients in each cell, and give the probability that a man actually has prostate cancer, given a positive test result.Probability =
The following Minitab display gives information regarding the relationship between the body weight of a child (in kilograms) and the metabolic rate of the child (in 100 kcal/ 24 hr). Predictor Coef SE Coef T P Constant 0.8678 0.4148 2.06 0.84 Weight 0.40376 0.02978 13.52 0.000 S = 0.517508 R-Sq = 94.6% (a) Write out the least-squares equation. = + x (b) For each 1 kilogram increase in weight, how much does the metabolic rate of a child increase? (Use 5 decimal places.)(c) What is the value of the correlation coefficient r? (Use 3 decimal places.) 4.
of the type y= Ae exportantial from the following data. Fit an curve 2 4 10 30 Eistimate the value of y at x= 5,
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The following data show, in convenient units, the yield Y of a chemical reaction run at various different temperature x. ΣΥ n = 7, Σ.Χ. 140000, = 980. Σy = = 27.4. = 3958. 115.54 Assuming that a linear regression model Y₁ = regression line of yield on temperature. Find the residuals sum of squares. a + Bx, + E, is appropriate estimate the

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the booster. Test the effectiveness of the octane booster at a=0.05. Assume that the normality assumption is satisfied.