**Gas Mileage Comparison Study: Hypothesis Testing**A car company claims that its new SUV gets better gas mileage than its competitor’s SUV. Here are the details of the test:- **Population 1 (Car Company’s SUVs):** - Sample Size: 32 - Mean Gas Mileage: 13.6 miles per gallon (mpg) - Population Standard Deviation: 0.5 mpg- **Population 2 (Competitor’s SUVs):** - Sample Size: 47 - Mean Gas Mileage: 13.4 mpg - Population Standard Deviation: 0.6 mpg**Objective:**Test the company’s claim at the 0.10 level of significance. Let the car company’s SUVs be Population 1 and the competitor’s SUVs be Population 2.**Step 1 of 3: State the Null and Alternative Hypotheses for the Test.**- Null Hypothesis (\(H_0\)): \(\mu_1 = \mu_2\)- Alternative Hypothesis (\(H_a\)): \(\mu_1 \neq \mu_2\) (fill in the blank) This study aims to determine if there is a statistically significant difference in the gas mileage between the two populations.

For population 1, sample size n1 = 32, sample mean = 13.6 and population SD = 0.5 For population 2,…

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

See similar textbooks

Similar questions

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 combined SAT scores for the students at a local high school are normally distributed with a mean of 1521 and a standard deviation of 301. The local college includes a minimum score of 888.9 in its admission requirements. What percentage of students from this school earn scores that fail to satisfy the admission requirement?
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.
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.
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.
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?
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?
According to a government agency, the average workweek for an adult in February 2018 was 34.1 hours. Assume the population standard deviation for the number of hours worked per week is 4.0 hours. A random sample of 35 adults worked an average of 34.8 hours last week.
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.

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS