(b)A mileage test is conducted for a new car model, the "HERO". In previous test, thepopulation mean is 27 miles per gallon (mpg). Twenty-eight random selected Herosare driven for a month and the mileage is carefully measured in each. The meanmileage for the sample is =28.6mpg and the sample standard deviation iss = 2.2 mpg. Assuming 1-distribution is followed, answer the following questions.Hypothesis are given as follows:(i)H₁:μ=27H: μ = 27Find the degree of freedom of the test.By using 10% level of significance, find the critical value and show therejection area.(iii)Calculate the test statistic, 1, to test the Ho.(iv) Determine whether you reject Ho. State your reason and conclusion.li

i) degrees of freedom of the test: df=n-1 Here, n is the sample size. In the given situation, n=28.…

Answered: A mileage test is conducted for a new…

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

Use z-scores to make the following comparison. A high school student took two college entrance exams, scoring 1110 on the SAT and 27 on the ACT. Suppose that SAT scores have a mean of 950 and a standard deviation of 130 while the ACT scores have a mean of 22 and a standard deviation of 4. Assuming the performance on both tests follows a normal distribution, determine which test the student did better on.
Someone claims that the systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 125. The population standard deviation is 18. A random sample of 45 adults having systolic blood pressure of 160. Find the test statistic. Z = (Round to one decimal)
This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used. 0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean. 0.5 point for finding the correct probability. All work must be shown in order to receive any credit. Please upload your completed assignment here. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.
number 3, thank you
The average lifetime of a certain tire is 35,000 miles, and the standard deviation is 3,500 miles. Part 1 of 3 If we assume that the mileages model is a normal distribution, what percentage of all such tires will last between 28,000 and 45,500 miles? Show your work. (Use the Empirical Rule.)
Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"
Justin records the speeds of vehicles moving past their house. The speed limit is 50 km/h. The mean and standard deviation of 128 readings was 2-38.1 km/h and s=5.2 km/h. Assuming the data is normally distributed, what is the percent chance (approximately) that a person is travelling faster than 43.3 km/h? Use this Standard Normal Distribution curve to help answer the question: Answer: Answer 0.1% 0.5% 30 1.7% 4.4% 9.2% 15% 10 19.1% 19.1% 15% 05 00 05 Standard Deviation (0) no 4.4% 1.7% 0.5% 0.1% 25 3.5
Find the range, vanance, and standard deviation for the given sample data. Include appropriate units in the results. Listed below are the measured radiation absorption rates (in Wikg) corresponding to various cell phone models. If one of each model is measured for radiation and the results are used to find the measures of variation, are the results typical of the population of cell phones that are in use? 1.16 0.82 0.51 0.69 1.11 0.82 0.69 0.75 0.52 0.53 1.34
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 65 miles per hour and 71 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately nothing% of vehicles travel between 65 miles per hour and 71 miles per hour.
A population of values has a normal distribution with mean of 180.7 and standard deviation of 70.8. You intend to draw a random sample size of 16. What is the standard deviation of the distribution of sample means?
The mean SAT verbal score is 485, with a standard deviation of 97. Use the empirical rule to determine what percent of the scores lie between 485 and 679. (Assume the data set has a bell-shaped distribution.)
Calculate the value of a normal random variable representing the bottom 20% of an approximately normal distribution with a mean of 74 and a standard deviation of 7. (Use a table or technology. Round your answer to one decimal place.)

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