Problem 2: The fuel economy (in km/L) of two types of carengines were measured by testing 25 trials for each. Thesample mean and standard deviation for engine 1 wasx₁14.5 and $₁ 0.6, and for engine 2, x₂ =15.5 and $₂=$21.2.=a) What appropriate hypotheses should be used to testwhether engine 2 provides higher fuel economy thanengine 1?b) Is there evidence to support the claim that engine 2 hasa higher fuel economy than engine 1? Use a =0.05,and assume that both populations are normallydistributed but the variances are not equal.

given data engine 1x¯1 = 14.5s1 = 0.6n1 = 25engine 2x¯2 = 15.5s2 = 1.2n2 = 25α = 0.05claim : μ1…

Answered: Problem 2: The fuel economy (in km/L)…

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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Question 2: A student safety advocacy group believes that drivers are speeding down Manhattan College Blvd. To prove their point, they wish to college vehicle speed data. Previous research has shown that the standard deviation of vehicle speeds on this functional class of roads is 7.00 mph. A. How many vehicles will the group need to sample to determine the 50h percentile speed if they wish to be 95.5% confident in their results plus or minus 3.00 mph? B. How does the 50th percentile required sample size change if we are concerned about the 85th percentile? C. How does the 50h percentile required sample change if we want the results to be accurate to plus or minus 1.5 mph?
QUESTION 20 An environmental researcher wants to know whether the mean amount of sulfur dioxide in the air in UAE cities is less than 1.22 parts per billion (ppb). She tested the hypotheses Ho: 21.22 versus Ha: < 1.22 using a significance level a = 0.05. The p-value of the test is 0.045. If the true value of µ is 1.23, the conclusion results in Correct decision. Type I error. Both Type I and Type II errors. Type II error.
QUESTION 6 In a recent speech to students, the Dean of the College of Business claims that the average grade of students in the college is no longer 75. To conduct a test of the dean's claim, a randomly selected sample of 64 students revealed an average grade of 76 with a standard deviation of 5. Is there evidence that the average grade is no longer 75? Use a = 0.05. Ho: p= 75 vs H₁: #75. t-stat 1.6. p-value = 0.115. Do not reject Ho and there is not enough evidence to support the dean's claim. Ho: μ = 75 vs H₁: #75. Z-stat 1.6. p-value = 0.11. Do not reject Ho and thers is not enough evidence to support the dean's claim. ⒸHo: p = 75 vs H₁: # 75. z-stat 1.6. p-value = 0.11. Do not reject Ho and there is enough evidence to support the dean's claim. Ho: p=75 vs H₁: #75 t-stat= 1.6. p-value = 0.115. Do not reject Ho and thers is enough evidence to support the dean's claim.
Question 6 In a random sample of 12 adults each of them ate 100 g of dark chocolate and in another random sample of 15 adults each of them ate 100 g of mik cho plasma antioxidant capacity was measured and the summary statistics are given below. Sample mean Sample standard deviation Dark chocolate (DC) Milk chocolate (MC) 171.5 6.8 165.0 7.2 At 5% significance level do the data provide sufficient evidence that dark chocolate produces different mean level of total blood plasmà antioxidant c Assume that the population distributions are normal with equal variance. a. The alternative hypothesis is H1: Pparkc (/ +) HMIKC b. The test statistic t= (round at two decimal places) c. The degrees of freedom (d.f.) = d. The critical value of the test = (do not round up). than the critical value, we (accept/reject) e. As the test statistic is (less/greater) produce different mean level of total blood plasma antioxidant capa that dark chocolate (does/does not) -tailed test. f. The above test is a…
QUESTION 1 (a) The concentration of chlorine in swimming pool is vary with a standard deviation of 14.1 ppm (part per milllion) for swimming pool A and 9.5 ppm for swimming pool B. Random samples of 75 chlorine readings in swimming pool A and 50 chlorine readings in swimming pool B yield means of 28 and 33 ppm, respectively. i. Construct a 97.5% confidence interval of the difference in true means concentration of chlorine between these two swimming pool. ii. A chemist wants to check whether the true means concentration of chlorine are same for swimming pool A and B. At 7% significance level, could you assist the chemist?
Question 9
Question 4 of 7 Big babies: The National Health Statistics Reports described a study in which a sample of 315 one-year-old baby boys were weighed. Their mean weight was 25.6 pounds with standard deviation 5.3 pounds. A pediatrician claims that the mean weight of one-year-old boys is greater than 25 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the o 0.05 level of significance and the critical value method with the @ Critical Values for the Student's t Distribution Table. (a) State the appropriate null and alternate hypotheses. (b) Compute the value of the test statistic. (c) State a conclusion.
Question #3 Samples of body temperatures were collected for a group of women and a group of men. The summary statistics are given below: Women:n1 = 15 sample mean = 98.38 ̊F s1 = 0.45 ̊F Men:n2= 91 sample mean= 98.17 ̊F s2 = 0.65 ̊F 1. Use a 0.01 significance level to test the claim that women and men have different mean body temperatures using the p value method. Show all the steps of your hypothesis test including the p value: initial conclusion: a final conclusion about the original claim:
Question4: The times for untrained rats to run a standard maze has a normal distribution where the times are measured in seconds. The researcher hopes to show that training improves the times. A sample of 9 rats were selected and the time to run a standard maze before and after training were measured in seconds and shown below. Does the data support the researcher’s hypothesis? Conduct a hypothesis test at 5% significant level (specify 4 steps).
Question 7: give the test statistic

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