A car company says that the mean gas mileage for its luxury sedan is 21 mpg. Youbelieve the mean gas mileage is lower than this and find that a random sample of 5cars has a mean gas mileage of 19 mpg and a sample standard deviation of 4 mpg.Assume the gas mileage of all of the company's luxury sedans is normally distributed.At α = 0.10, use a t-test to assert the validity of the company's claim.The test statistic is:1.12-1.122.92-2.92

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Answered: mpg. A car company says that the mean…

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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I researched the winning time for the 1/4 mile race in the Fayette County Fair. Let's assume that winning times are normally distributed for both men and women. The mean time for men is 43.92s with a standard deviation of 0.38s. The men's fastest time has a z-score of -1.95. What is the time associated with men's z-score? T TTArial 3 (12pt) Click Save and Submit to save and submit. Click Save All Answers to save all answers.
A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with u = 520. The teacher obtains a random sample of 2200 students, puts them through the review class, and finds that the mean math score of the 2200 students is 525 with a standard deviation of 110. Complete parts (a) through (d) below. (a) State the null and alternative hypotheses. Let u be the mean score. Choose the correct answer below. O A. Ho: H= 520, H,: µ> 520 %3D B. Ho: μ 520 С. Но: и> 520, Hа: p#520 D. Ho: и%3D520, Hа: p#520 (b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 525 statistically significantly higher than 520? Conduct a hypothesis test using the P-value approach. Find the test statistic. to = %3D
The speed of cars driving past Johnson City High School, on 666 Reynolds Rd, were recorded over one school year. The speed limit on that part of Reynolds Rd is 20 mph. The mean of the speed readings was 24.19 mph, with a standard deviation of 3.56 mph.
The annual per capita consumption of oranges (in pounds) in the United States can be approximated by a normal distribution. The mean annual per capita of oranges is 19.2 with a standard deviation of 4 pounds. what annual per capita consumption of oranges represents the 5th percentile?
An exam score has a mean of 504 and standard deviation of 90. What exam score coresponds to a Z-score of 1.60?
Find the regression equation, letting overhead width be the predictor (x) variable. Find the best predicted weight of a seal if the overhead width measured from a photograph is 2 cm. Can the prediction be correct? What is wrong with predicting the weight in this case? Use a significance level of 0.05.
The time to smoke fish is normally distributed with an average of 5.3 hours and a standard deviation of 2.1 hours. What is the z score for a fish that take 10 hours to smoke?
Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake isμ=19 inches. However, a survey reported that of a simple random sample of 38 fish caught, the mean length was 19.9 inches, with estimated standard deviation of 3.1 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is different from μ=19inches? Use α=0.001. What is the value of the test statistic? (Round your answer to two decimal places.)Find the P-value. (Round your answer to four decimal places.)
Aldo, a highway safety inspector, is concerned about the potential for accidents caused by boulders that fall down a sandstone cliff beside a main highway. As part of an accident simulator, Aldo models the boulders' weights using a normal distribution with a mean of 556 kg and a standard deviation of 100 kg find the percentage of boulders that weigh less than 520kg or more than 592kg according to the model. .
A reading class can read an mean of 175 words per minute and a population standard deviation of 20 words per minutes. The top 3% of the class is to receive a special award for a random sample of 49 students. What is the minimum average number of words per minute a student would need to read in order to get the award for a random sample of 49 students? Assume the data is normally distributed.
he average amount of time boys and girls spend playing sports each week is believed to be the same. A sample of equal size n is taken from boys and girls , the mean of the boys is 29 hours with standard deviation 4 hours and the mean of the girls is 27 hours with standard deviation 3 hours Both populations have a normal distribution. The calculated value is 1.2 n =
Joe's average bowling score is 181, and is normally distributed with a standard deviation of 34. What z-score corresponds with a bowling score of 227 points?

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