In a hypothesis test with the null and alternative hypotheses Ho: μ ≥ 80 and H₁ μ< 80, a random sample of 98 elements selectedfrom the population produced a mean of 75.9. Assume that o = 23.2, and that the test is to be made at the 1% significance level.What is the value of the test statistic, z, rounded to three decimal places?

Answered: In a hypothesis test with the null and…

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

A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n= 191, x = 5.89, s = 1.96. Use a 0.10 significance level to test the claim that the population mean of such ratings is less than 6.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P- value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? O A. Ho: H=6.00 O B. Ho: H=6.00 H;:µ#6.00 H: µ>6.00 O C. Ho: H6.00 H1:µ<6.00 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is evidence to conclude that the mean of the population of ratings is 6.00.
A sample of 100 observations from a normal population has a mean of 50 and a standard deviation of 10. The null hypothesis is that the population mean is equal to 48, and the alternative hypothesis is that the population mean is greater than 48. Using a significance level of 0.05, what is the decision and conclusion of the hypothesis test?
A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n= 187, x = 5.58, s= 2.02. Use a 0.01 significance level to test the claim that the population mean of such ratings is less than 6.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? A. Ho: H=6.00 O B. Ho: H6.00 H1:H6.00 H1: µ#6.00 Determine the test statistic. ent: (Round to two decimal places as needed.)
A simple random sample of 12 different cereals is obtained, and the sugar content (in grams of sugar per gram of cereal) is measured for each cereal selected. Those amounts have a mean of 0.289 gram and a standard deviation of 0.167 gram. Use a 0.05 significance level to test the claim of a cereal lobbyist that the mean for all cereals is less than 0.33 gram. Formulate the null and alternative hypotheses. Choose the correct answer below. Find the test statistic. Find the P-value. State the conclusion.
A random sample of 54 students from a college are selected from a normal population with mu equal to 20 and sigma equal to 5. After a treatment is administered to the students, the researcher calculated the sample mean to be 21. Is there enough evidence to conclude that the treatment had a significant effect at the 5% significance level? How many tails does this test have?
A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n= 191, x= 6.83, s= 1.93. Use a 0.05 significance level to test the claim that the population mean of such ratings is less than 7.00. Assume that a simple random sample has been selected. Identify the null and altemative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and altenative hypotheses? OB. Ho: H7.00 H: µ>7.00 C. Họ: =7.00 OD. Ho: =7.00 Hp<7.00 H4: H#7.00 Determine the test statistic. (Round to two decimal places as needed.)
A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n= 187, x=7.59, s= 2.05. Use a 0.10 significance level to test the claim that the population mean of such ratings is less than 8.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? O A. Ho: H8.00 H: µ>8.00 Ос. Но и38.00 H1: u#8.00 O D. Ho: H=8.00 H: µ<8.00 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. v Ho. There is v evidence to conclude that the mean of the population of ratings is v 8.00.
A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n= 197, x=6.52, s=1.84. Use a 0.05 significance level to test the claim that the population mean of such Tatings is less than 7.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? O A. Ho =7.00 H, p>7.00 O B. Ho p=700 H p 7.00 O C. Ho p= 7.00 H: p7.00 Determine the test statistic. | (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. 7.00. Ho. There is Vevidence to conclude that the mean of the population of ratings is Activate Windeows Next Statcrunch 4:24 PM 11/29/2021 Type here to search 144 00 %24 4. 5 7. U. CO 96
A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n=15, x=137.33, s=24.12. Use a 0.01 significance level to test the claim that the population mean of such ratings is greater than 110. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.. The Hypotheses Test Ho:µ = 110 H1: Choose one of these A:u > 110 B: µ < 110 C: µ #110 Test statistic Choose one of these (A) t = 4.39; (B) z = = 4.39 P value < s.f. = 0.10 ( reject or do not reject) %3D (Round to three decimal places 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…
A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n= 198, x = 6.51, s= 1.87. Use a 0.01 significance level to test the claim that the population mean of such ratings is less than 7.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? O A. Ho: H= 7.00 Ο Β. Ho : μ 7.00 H1: µ 7.00 H1: µ>7.00 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. V Hn. There is V evidence to conclude that the mean of the population of ratings is 7.00. less than not greater than equal to
The coach of a very popular men’s basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M= 36 miles and s= 5 miles. Test the coach’s claim at the 5% (.05) level of significance. one-tailed or two-tailed test: State the hypotheses: df= tα or t value for the critical region = sM = t (test statistic)= Decision:

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