1. The fuel efficiency of a new model pick-up truck (truck) is measured in miles pergallon (mpg). A company claims that their new truck gets 25 mpg on average. Aconsumer group thinks the company is lying and claims that the mean mileagefor all the trucks is less than 25 mpg. In a random sample, of forty-five of thesetrucks the mean mpg was 23.3 mpg with a standard deviation of 5.1 mpg.a. Conduct a hypothesis test to test the consumer group's claim at the 5%significance level. Be sure to state you Ho and Ha, your test statistic and p-value, whether or not you reject Ho and whether you support the claim.b. Write a complete sentence describing what a Type I error is in context.c. Write a complete sentence describing what a Type II error is in context.

Answered: Image /qna-images/answer/d67a2467-911d-4350-a78e-cd1d8126ac43.jpg

Answered: 1. The fuel efficiency of a new model…

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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Similar questions

The U.S. Department of Transportation provides the number of miles that residents of the 75 largest metropolitan areas travel per day in a car. Suppose that for a random sample of 75 Buffalo residents the mean is 25 miles a day. The standard deviation of the population (Buffalo residents) is 5.1 miles a day. For an independent random sample of 60 Boston residents the mean is 23 miles a day. The standard deviation of the population (Boston residents) is 8.2 miles a day. Consider the following hypothesis test. Mean 1 = Buffalo residents ; Mean 2 = Boston Residents Ho : 1 – H2 = 0 H : H1 - 42 0 At alpha = 0.05 what is your conclusion? 0.05 -3.6 0002 0002 0001 0001 .0001 .0001 000 0001 .0001 0001 0.01 0.02 0.04 0.06 0.07 0.09 0.00 0.03 0.08 -3.5 .0002 0002 .0002 0002 .0002 .0002 0002 .0002 .0002 0002 -3.4 0003 .0003 .0003 0003 .0003 0003 0003 0003 0003 0002 -33 0005 0005 0005 0004 .0004 .0004 0004 0004 0004 0003 -32 0007 -3.1 0010 .0007 0006 0006 .0006 .0006 0006 0005 .0005 0005 0009 .0009…
The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.05 level that the medicine relieves pain in more than 365 seconds. For a sample of 47 patients, the mean time in which the medicine relieved pain was 370 seconds. Assume the population standard deviation is 25. Find the P-value of the test statistic.
a)The sumation of the square of n randomly selected elements of a normal distribution follows a _______________________ distribution with n degrees of freedom b)The ____________ distribution is the distribution with reference to the number of trials needed to obtain the first success c)In the binomial distribution we fix the number of trials. In the negative binomial we fix the number of ___________ d)The ________ distribution is used to make inferences about the variances of two normal distributions
A Statistics instructor wanted to compare the scores on the same final exam given to students at a local community college and local university. The Statistics instructor feels that students at the community college would be better prepared and have higher exam scores on the final exam. After grading the final exams from both institutions, the Statistics instructor found that for a sample of 36 community college students, the sample had a mean score of 84 with a standard deviation of 3.4. A sample of 45 university students had a mean score 79 with a standard deviation of 2.6. Construct a 95% confidence interval for the difference between population mean exam scores. Round your final results to one decimal place. _____________ ≤ ??? − ????? ≤ ______________
For a study conducted by the research department of a pharmaceutical company, 235 randomly selected individuals were asked to report the amount of money they spend annually on prescription allergy relief medication. The sample mean was found to be $17.80 with a standard deviation of $4.30 . A random sample of 250 individuals was selected independently of the first sample. These individuals reported their annual spending on non-prescription allergy relief medication. The mean of the second sample was found to be $18.20 with a standard deviation of $4.00 . As the sample sizes were quite large, it was assumed that the respective population standard deviations of the spending for prescription and non-prescription allergy relief medication could be estimated as the respective sample standard deviation values given above. Construct a 90% confidence interval for the difference −μ1μ2 between the mean spending on prescription allergy relief medication ( μ1 ) and the mean…
A manufacturer is producing metal rods, whose lengths are normally distributed with a mean of 65.0 cm and a standard deviation of 0.3 cm. If 2000 metal rods are produced, how many will be between 64.5 cm and 65.3 cm in length? There will be rods between 64.5 cm and 65.3 cm in length.
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.
In the United States, egg sizes are set by the Department of Agriculture. A "large" egg, for example, weighs between 57 and 64grams. Suppose the weights of eggs produced by hens owned by a particular farmer are approximately normally distributed with a mean of 55.8 grams and a standard deviation of 7.5 grams. What proportion of these eggs weigh less than 50grams? What percent of these eggs would be classified as large?
A test was administered for a group of 400 students and scores were obtained. The scores are approximately normally distributed with a mean of 65 and standard deviation of 4.5. What are the scores within which approximately 95% of the total test scores fall?
Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 260 mg and a standard deviation of 48 mg. In a random sample of 600 adults, how many consume at least 320 mg of caffeine daily?
The speed of cars on a specific road is normally distributed with a mean of 54 mph and a standard deviation of 3. The top 2.5% of cars are traveling at at least what mph?
Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 42 randomly selected people who train in groups and finds that they run a mean of 47.1 miles per week. Assume that the population standard deviation for group runners is known to be 4.4 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 1.8 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.

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