In a hypothesis test with hypotheses Ho : H = 90 and H1 : H # 90, a random sample of 16 elements selected from thepopulation produced a mean of 85.9 and a standard deviation of 6.6. The test is to be made at the 10% significancelevel. Assume the population is normally distributed.What are the critical values of t?-1.645 and 1.645-1.753 and 1.753-1.341 and 1.341-1.746 and 1.746What is the value of the test statistic, t, rounded to three decimal places?What is the p-value for this hypothesis test, rounded to four decimal places?Should you reject or fail to reject the null hypothesis in this test?LINK TO TEXT

Answered: Image /qna-images/answer/767011e6-52d8-4ade-96c3-7fb3ae021097.jpg

Answered: In a hypothesis test with hypotheses Ho…

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

Consider a dataset containing the heights of 38 females who said they prefer to sit in the front of the classroom yields a sample average of 62 inches and a sample standard deviation of 2.5 inches. Suppose that the average height for the general population of college females is 65 inches. An analyst wants to test the claim that the true average height of females who prefer to sit in the front of the classroom is lower than it is for the general population. In the hypothesis for the above claim (at significance level of 10%), the appropriate test, test statistic (name and value), and pvalue is the approximate Z-test with z-statistic = 62 and pvalue = 0. the approximate Z-test with z-statistic = 7.40 and pvalue not calculable because normality is not given. = 0. the approximate Z-test with z-statistic = -7.40 and pvalue = 0.
In a random sample of seven people, the mean driving distance to work was 25.2 miles and the standard deviation was 5.2 miles. Assuming the population is normally distributed and using the t-distribution, a 99% confidence interval for the population mean μ is (17.9, 32.5) (and the margin of error is 7.3). Through research, it has been found that the population standard deviation of driving distances to work is 6.5. Using the standard normal distribution with the appropriate calculations for a standard deviation that is known, find the margin of error and construct a 99% confidence interval for the population mean μ. Interpret and compare the results. Identify the margin of error. enter your response here ▼ miles per hour miles square miles (Round to one decimal place as needed.
Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, P-value, and state the final conclusion that addresses the original claim. A simple random sample of 25 filtered 100 mm cigarettes is obtained, and the tar content of each cigarette is measured. The sample has a mean of 19.4 mg and a standard deviation of 3.61 mg. Use a 0.05 significance level to test the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg, which is the mean for unfiltered king size cigarettes. What do the results suggest about the effectiveness of the filters? a) What are the hypotheses? b) Identify the P-value. c) State the final conclusion. A. Fail to reject H0. There is sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. B. Fail to reject H0. There is insufficient evidence to support…
The environmental research scientists report that the exhaust emissions for a certain car model has a normal distribution with a mean of 1.45 grams of nitrous oxide per mile and a standard deviation of 0.4. The car manufacturer claims their new process reduces the mean level of exhaust emitted for this car model. A Simple random sample of 36 cars is taken and the mean level of exhaust emitted for this sample is 1.21 grams. (a) State the null and alternative hypotheses. (b) Calculate the test statistic. (c) Calculate the Zc and p-value. Draw the picture. (d) What is the decision at the 0.05 significance level?
In a simple random sample of 46 oral temperatures, the mean was 37.3 degrees Celsius with a standard deviation of 1.1 degrees Celsius. Use this sample to test the claim that the population mean of all oral temperatures is greater than 37 degrees Celsius, with significance level of 0.05. d.f.=45 to.005 = 2.690 to.01 = 2.412 to.025 2.014 to.05 = 1.679 to.10 = 1.301
A manufacturer claims that the mean lifetime, μ, of its light bulbs is 54 months. The standard deviation of these lifetimes is 6 months. Forty-six bulbs are selected at random, and their mean lifetime is found to be 55 months. Assume that the population is normally distributed. Can we conclude, at the 0.01 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 54 months? State the null hypothesis H0 and the alternative hypothesis H1 Find the z test Find the p-value Can we conclude that the mean lifetime of light bulbs made by this manufacturer differs from 54 months? Yes or No?
A simple random sample of 80 adults is obtained, and each person’s red blood cell count is measured. The sample mean is 6.25 and a standard deviation of .65. Use a .01 significance level to test the claim that the sample is from a population with a mean less than 6.4, which is a value often used for the upper limit of the range of normal values. (For each hypothesis test state H0 and H1)
The daily wage of a particular industry is normally distributed with a mean of 150 pesos. In a random sample of 144 workers of a very large company in this industry, the mean daily wage was found to be 148 pesos with a standard deviation of 10 pesos. Can this company be accused of paying inferior wages (less than the usual) at α=5%? Which of the following sets of hypotheses should be used in this study? A. Ho: μ = 150 vs. Ha: μ > 150 B. Ho: μ = 150 vs. Ha: μ < 150 C. Ho: μ = 148 vs. Ha: μ > 148 D. Ho: μ = 148 vs. Ha: μ < 148
BIG Corporation advertises that its light bulbs have a mean lifetime, u, of 3000 hours. Suppose that we have reason to doubt this claim and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 3160 hours and that the sample standard deviation of the lifetimes is 600 hours. Based on this information, answer the questions below. What are the null hypothesis (H.) and the alternative hypothesis (H,) that should be used for the test? Ho: u is ? H: u is ? In the context of this test, what is a Type I error? A Type I error is ? v the hypothesis that u is? when, in fact, u is ? Suppose that we decide to reject the null hypothesis. What sort of error might we be making? ?

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