### Statistical Analysis of Van Fuel EfficiencyAn automobile manufacturer claims that its van has a 36.7 miles per gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van because it is believed that the van has an incorrect manufacturer's MPG rating. After testing 140 vans, they found a mean MPG of 37.0. Assume the standard deviation is known to be 1.4. A level of significance of 0.05 will be used. Find the value of the test statistic. Round your answer to 2 decimal places.**Instructions for Calculation:**- **Manufacturer's Claimed MPG:** 36.7- **Sample Mean MPG:** 37.0- **Sample Size:** 140 vans- **Standard Deviation:** 1.4- **Level of Significance:** 0.05Enter the value of the test statistic in the provided space. Remember to round your answer to two decimal places.**Answer Section:**- [How to enter your answer (opens in new window)](link)**Note:** The image has no graphs or diagrams to explain.

The question is about hypothesis testing.Given :Population mean MPG rating of a van ( ) =…

Answered: An automobile manufacturer claims that…

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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The manager at UPS feels that the weights of packages shipped recently are less than in he past. Records show that in the past packages have had a population mean weight of 36.7 pounds and a population standard deviation of 14.2 pounds. A random sample of last month's shipping records yielded a sample mean weight of 32.1 pounds for 64 packages. Does this indicate that the weights of packages recently shipped is less than 36.7 pounds? Use a = 0.01. Use the Classical Approach.
A particular fruit's weights are normally distributed, with a mean of 519 grams and a standard deviation of 10 grams.The heaviest 13% of fruits weigh more than how many grams?Give your answer to the nearest gram.
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 45 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.3 feet. At a= 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? ASsume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). Click here to view page 1 of the standard normal distribution table, Click here to view page 2 of the standard normal distribution table. 19.82 of 24 pts Question Help v O (a) Identify the claim and state Ho and H What is the claim? O A. The mean braking distance is greater for Make A automobiles than Make Bautomobiles. O B. The mean braking distance is…
The scores on a psychology test were normally distributed with a mean of 65 and a standard deviation of 4. Use the Empirical Rule to find the percentage of scores above 69.
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A study compared the weight loss of people on a low-fat diet versus people on a low-carb diet. In a sample of 100 obese people on a low-fat diet the sample mean weight loss as 7.6 pounds with a standard deviation of 3.2 pounds. In another sample of 120 obese people on a low-carb diet the sample mean weight loss was 6.7 pounds with a standard deviation of 3.9 pounds. Write down all formulas and state the hypothesisa) Test the hypothesis, at the 5% level of significance, that there is a difference in the mean weightloss of using the 2 different diets. b) What is the p-value?
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To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 40 feet. Assume the population standard deviation is 4.9 feet. The mean braking distance for Make B is 44 feet. Assume the population standard deviation is 4.6 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Identify the claim and state H, and Ha. What is the claim? A. The mean braking distance is different for the two makes of automobiles. B. The mean braking distance is less for Make A automobiles than Make B…
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To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)
A medical statistician wants to estimate the average weight loss of people who are on a new diet plan. In a preliminary study, he guesses that the standard deviation of the population of weight loss is about 8 pounds. How large a sample should he take to estimate the mean weight loss to within 4 pounds, with 97% confidence? Sample Size =

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