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.…

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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
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.
Find the positive critical t -value for a two tailed test with a = answer to 3 decimal places. 0.05 and df = 11. Give your
An experiment to compare the tension bond strength of polymer latex modified mortar (Portland cement mortar to which polymer latex emulsions have been added during mixing) to that of unmodified mortar resulted in x = 18.14 kgf/cm2 for the modified mortar (m 42) and y = 16.89 kgf/cm2 for the unmodified mortar (n 30). Let and be the true average tension bond strengths for the modified and unmodified mortars, respectively. Assume that the %D bond strength distributions are both normal. (a) Assuming that = 1.6 and o, 1.3, test Ho: Hy-H2 O versus H: µ, - µ, > 0 at level 0.01. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) Z = P-value = State the conclusion in the problem context. Fail to reject Ho. The data does not suggest that the difference in average tension bond strengths exceeds from 0. o Fail to reject Ho. The data suggests that the difference in average tension bond strengths exceeds…
Find the mean and standard deviation for each uniform continuous model.(Round "Mean" answers to 1 decimal place and "Standard deviation" answers to 4 decimal places. a. U(3,13)

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