Fresh Donuts! A donut company says that their donuts remain fresh for over 2 days on average. A donutwatchdog organization samples 15 donuts and finds that on average they remain fresh 2.1 days with astandard deviation of 0.8 days. Evaluate the company's claim using a hypothesis test. Use a 5% level ofsignificance. Assume that donut freshness follows a normal distribution.(a) Write the hypotheses for the test:O Ho: H = 2.1Hại p < 2.1OH,: µ = 2Ha: p > 2OH,: µ = 2.1Hạ: p = 2.1O H,: H = 2Hạ: p< 2O H,: µ = 2Hạ: p = 2OH;: H = 2.1Ha: p > 2.1(b) Compute the p-value for the test:p =|(round to three sig figs)(c) What is the final conclusion?O There is sufficient evidence to reject the company's claim.O There is not sufficient evidence to reject the company's claim.O There is not sufficient evidence to support the company's claim.O There is sufficient evidence to support the company's claim.Question Help: M Message instructor D Post to forumSubmit All PartsJump to Answer

Hypothesized Population Mean (\mu)(μ) = 22 Sample Standard Deviation (s)(s) = 0.80.8 Sample…

Answered: Fresh Donuts! A donut company says that…

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

You are a manager of a building that hosts the local farmers market for a town. You want to investigate if the average amount of sales for a vendor per week at your building is greater than $2040. After surveying 17 of their vendors, you find that mean sales per week of the vendors sampled was $2110 with a standard deviation of $114.03. What is the value of the test statistic for your hypothesis test? Note: 1- Only round your final answer. Round your final answer to two decimal places.
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:
An archer’s standard deviation for his hits is six (data is measured in distance from the center of the target). An observer claims the standard deviation is less.a. What type of test should be used?b. State the null and alternative hypotheses.c. Is this a right-tailed, left-tailed, or two-tailed test?
According to a large oil company, the average cost per barrel of oil last year was $47. You believe that due to the current oil crisis in Russia and Iran that the cost of a barrel of oil has decreased. You collect a simple random sample of 60 barrels of oil and find an average price of $42 and a standard deviation of $12. Use this information to answer the following questions and conduct the hypothesis test with a level of significance of a = .01. You may use Statcrunch or a calculator. Write all non-calculation answers in complete sentences. a. Which test would you use and why? b. Write the null and alternative hypothesis in complete sentences. (Make sure you mark which is the null and which is the alternative.) c. Write the null and alternative hypothesis as symbols. d. State the requirements that have been met to run the test. e. What is the test statistic and the p-value? (Make sure you use the right notation.) f. Should you reject or fail to reject the null hypothesis? g. State…
The accounts of a corporation show that on average, accounts payables are $125 with standard deviation of $25. An auditor checked a random sample of 20 accounts whose mean was $129. Assume that the population distribution is normal. Test the null hypothesis that the mean payables are $125 against a two- sided alternative at 5% significance level. State the null and the alternative hypothesis and comment whether its a one tail or two tail test? If one tail then right or left tail test? (write your answer as one tail right tail test/ one tail left tail test/ two tail test) Identify the critical value. Ans in two decimal places. What is the calculated value? Ans in two decimal places Write the decision rule and identify whether the condition holds. (write answer as condition holds/ condition does not hold) Give final decision (write answer as reject null/ do not reject null)
We want to conduct a hypothesis test of the claim that for middle-aged adults the population's mean of their cholesterol levels is more than 199.3 mgdL. We choose a random sample of such levels. The sample has a mean of 197.3 mgdL and a standard deviation of 19.5 mgdL. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 105, and it is from a non-normally distributed population with a known standard deviation of 19.2. z = t = It is unclear which test statistic to use. (b) The sample has size 12, and it is from a normally distributed population with an unknown standard deviation. z = t = It is unclear which test statistic to use.
The cost of a car is $30k at Joe's Garage. You cant to see if the cost is lower at Pete's Garage. To test, you collect data from 64 buyers who recently bought cars. The average of your sample is $29,760, with a sample standard deviation of $7,450. Using this data to perform the hypothesis test with H0: u=30,000 vs H0:u<30,000, what is the p-value of this test, and what is the conclusion of this test at the a=.05 level?
A high school athletic director is asked if football players are doing well academically as the other student athletes. From a previous study that the average GPA for the student athletes is 81. The athletic director randomly samples 20 football players and finds that the average GPA of the sample is 84 with a sample standard deviation of 7. Is there a significant change in GPA? Use a 0.10 significance level. Prompts Submitted Answers Null Hypothesis H = 81 Alternative Hypothesis H81 type of test t-test test statistic Choose a match p-value Choose a match computed value of the test statistic Choose a match Decision Choose a match Conclusion There is no significant change on the average GPA of Student athletes @ 10% alpha. Level of Confidence 90% Critical Value/s Choose a match
Using the Hypothesis Testing Procedures, please complete: The mean age of senators in the 109th Congress was 60.35 years old. A random sample of 40 senators from various state senates had an average age of 55.4 years, and the population standard deviation is 6.5 years. At a = 0.05, is there sufficient evidence that state senators are on average younger than the Senators in Washington
Fresh Donuts! A donut company claims that their donuts remain fresh for more than 2 days on average. A donut watchdog organization samples 16 donuts and finds that on average they remain fresh 2.8 days with a standard deviation of 0.9 days. Evaluate the company's claim using a hypothesis test. Use a 5% level of significance. Assume that donut freshness follows a normal distribution.(a) Write the hypotheses for the test:(b) Compute the p-value for the test:
You are a manager of a building that hosts the local farmers market for a town. You want to investigate if the average amount of sales for a vendor per week at your building is greater than $2050. After surveying 18 of their vendors, you find that mean sales per week of the vendors sampled was $2100 with a standard deviation of $101.08. What is the value of the test statistic for your hypothesis test? Note: 1- Only round your final answer. Round your final answer to two decimal places.
Water usage is closely watched in many parts of Australia. Suppose that in a summer the average household usage in Hobart is 408 litres per day. A year later it examines records of a sample of 50 households and finds that there is a daily mean usage of 380 litres with a standard deviation of 25 litres. a.Do you think the average daily water usage has been changed in the second summer? Use the 5% level of significance level for hypothesis testing. b.Because of the draught situation in Australia, after the first summer, the price of water in Hobart was increased to encourage households to reduce their water consumption. How do you evaluate the effect of increasing water prices? Use the 5% level of significance level for hypothesis testing.

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