A car company claims that its new SUV gets better gas mileage than its competitor's SUV. A random sample of 41 of its SUVs has a mean gas mileage of 15.2 miles pergallon (mpg). The population standard deviation is known to be 1.4 mpg. A random sample of 49 competitor's SUVs has a mean gas mileage of 14.8 mpg. The populationstandard deviation for the competitor is known to be 0.9 mpg. Test the company's claim at the 0.02 level of significance. Let the car company's SUVs be Population 1 andlet the competitor's SUVs be Population 2.Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below.Ho:μ₁ = μ₂Ha : M1₂

As per the company's claim, the gas mileage of their new SUV gets better than the competitor's…

Answered: A car company claims that its new SUV…

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 sample of 77 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 4.7 kilograms with a sample standard deviation of 7.16 kilograms. A second sample of 79 subjects went on a low-fat diet. Their sample mean weight loss was 2.6 kilograms with a standard deviation of 5.90 kilograms. Can you conclude that the mean weight loss differs between the two diets? Use a = 0.01. Use the critical value method.
On a standardized exam, the scores are normally distributed with a mean of 350 and a standard deviation of 20. Find the z-score of a person who scored 400 on the exam.
A recent study showed that the average number of sticks of gum a person chews in a week is 13. The population standard deviation was 1.1. A college student believes that the guys in his dormitory chew a different amount of gum in a week. He conducts a study and samples 43 of the guys in his dorm and finds that on average they chew 11 sticks of gum in a week. Test the college student's claim at a=0.05. The correct hypotheses would be: Ο H: μ 13 (claim) Но: д > 13 HA: µ < 13 (claim) Ho: µ = HA:H + 13 (claim) 13 Since the level of significance is 0.05 the critical value is 1.96 and -1.96 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: O There is enough evidence to reject the claim that a different amount of gum in a week. O There is not enough evidence to reject the claim that a different amount of gum in a week. O There is enough evidence to support the claim that a…
A car company claims that its new SUV gets better gas mileage than its competitor's SUV. A random sample of 41 of its SUVS has a mean gas mileage of 15.2 miles per gallon (mpg). The population standard deviation is known to be 1.4 mpg. A random sample of 49 competitor's SUVs has a mean gas mileage of 14.8 mpg. The population standard deviation for the competitor is known to be 0.9 mpg. Test the company's claim at the 0.02 level of significance. Let the car company's SUVs be Population 1 and let the competitor's SUVs be Population 2. Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
The weight of potato chips in a large-size bag is stated to be 24 ounces. The amount that the packaging machine puts in these bags is believed to have a normal model with a mean of 24.2 ounces and a standard deviation of 0.12 ounces.
A taxicab company in New York City analyzed the daily number of miles driven by each of its drivers. It found the average distance was 200 mi with a standard deviation of 30 mi. Assuming a normal distribution, what prediction can we make about the percentage of drivers who will log in either more than 260 mi or less than 170 mi?
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 use of chemicals is considered to increase the resistance to scratches during a painting process. The average durability was found to be 7.5 br and the standard deviation was found to be 1.5 br for the 15 parts painted using item A. The average durability was found to be 8.8 br and the standard deviation was found to be 1.2 br for the 12 parts painted using item B. What is the value of the test statistic calculated in the test that will be performed to determine which substance to choose? Determine it at the 99% confidence level with the assumption that the anacuttle variances are equal.Answer options group A)- 1,21 B) -4.68 C)- 3.26 D)-2.44
On a standardized exam, the scores are normally distributed with a mean of 350 and a standard deviation of 20. Find the z-score of a person who scored 400 on the exam.
In a school district, all sixth grade students take the same standardized test. The superintendant of the school district takes a random sample of 30 scores from all of the students who took the test. She sees that the mean score is 169 with a standard deviation of 7.0674. The superintendant wants to know if the standard deviation has changed this year. Previously, the population standard deviation was 13. Is there evidence that the standard deviation of test scores has decreased at the α=0.005 level? Assume the population is normally distributed. Step 4: Make a decision. Is it reject Null hypothesis or Fail to reject Null hypothesis? Step 5: What is the conclusion? Is there sufficient evidence or there is not sufficient evidence to show that the standard deviation of the test scores has decreased?
A car company claims that its new SUV gets better gas mileage than its competitor's SUV. A random sample of 35 of its SUVs has a mean gas mileage of 16.7 miles per gallon (mpg). The population standard deviation is known to be 0.9 mpg. A random sample of 42 competitor's SUVS has a mean gas mileage of 16.4 mpg. The population standard deviation for the competitor is known to be 0.6 mpg. Test the company's claim at the 0.02 level of significance. Let the car company's SUVs be Population 1 and let the competitor's SUVS be Population 2. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Họ :-1 = M2 Ha М2
A car company claims that its new SUV gets better gas mileage than its competitor's SUV. A random sample of 49 of its SUVs has a mean gas mileage of 17.1 miles per gallon (mpg). The population standard deviation is known to be 1.3 mpg. A random sample of 33 competitor's SUVS has a mean gas mileage of 16.3 mpg. The population standard deviation for the competitor is known to be 1.6 mpg. Test the company's claim at the 0.05 level of significance. Let the car company be Population 1 and let the competitor 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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