The National Weather Service says that the mean daily high temperature for October in a large midwestern city is 59 °F. A local weather service suspects thatthis value is not accurate and wants to perform a hypothesis test to determine whether the mean is actually lower than 59 °F. A sample of mean daily hightemperatures for October over the past 39 years yields x =57 °F. Assume that the population standard deviation is 5.9 °F. Perform the hypothesis test at thea=0.05 significance level.H:p=59 °FH:p<59 °FTest statistic: z=-2.12Critical value : z=-1.64Reject H:u=59 °F there is sufficient evidence to support the claim that the mean is lessthan 59 °F.Ho:H= 59 °FH: p> 59 °FTest statistic:z=-2.12Critical value : z=-1.64Fail to reject H:p=59 °F there is not sufficient evidence to support the claim that themean is less than 59 °F.

Given : sample size, n = 39 sample mean, x̄ = 57.0 population standard…

Answered: The National Weather Service 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

Homeowners claim that the mean speed of automobiles travelling on the street is AT LEAST 35 miles per hour. They are demanding the creation of bumps on the road. This will cost the county $100,000. As the county inspector you want to be sure it is worth the money so you randomly sample of 100 automobiles and derive a mean speed of 36 miles per hour and a population standard deviation of 4 miles per hour. Is there enough evidence to support their claim at alpha = 0.05?State Ho and Ha--What kind of test is it?What is the p-value?- Interpret the results
The mean age when smokers first start is 13 years old with a population standard deviation of 1.8 years. A researcher thinks that smoking age has significantly changed since the invention of ENDS—electronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. The sample of 31 smokers found that their mean starting age was 12.4 years old. Do the data support the claim at the 10% significance level? What are the correct hypotheses? H0: yearsH1: years Based on the hypotheses, find the following: Test Statistic z = (Give answer to at least 4 decimal places)p-value = (Give answer to at least 4 decimal places) Based on the above we choose to The correct summary would be: that the claim that the mean age smokers first start is different than 13.
When 40 people used the Weight Watchers dies for one year, their mean weight loss was 3.0 lb and the standard deviation was 4.9 lb. Use a 0.01 significance level to test the claim that the mean weight loss is greater than 0. (Show the solution) A. The null hypothesis is i. The mean weight loss is equal to 0. ii. The mean weight loss is not equal to 0. iii. The mean weight loss is greater than 0. iv. The mean weight loss is less than 0. B. The computed t-test statistic is i. 4.468 ii. 4.977 iii. 3.872 iv. 3.391 C. The critical/tabular t-test statistic is i. 2.426 ii. 1.684 iii. 1.685 iv. 2.423 D. Decision rule: i. Do not reject the null hypothesis. ii. Reject the null hypothesis. E. The final conclusion is i. The mean weight loss is not equal to 0 therefore Weight Watchers is effective. ii. The mean weight loss is less than 0 therefore Weight Watchers is not effective. iii. The mean weight loss is equal to 0 therefore Weight Watchers…
The mean age when smokers first start is 13 years old with a population standard deviation of 1.8 years. A researcher thinks that smoking age has significantly changed since the invention of ENDS—electronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. The sample of 30 smokers found that their mean starting age was 12.2 years old. Do the data support the claim at the 10% significance level? What are the correct hypotheses? H0: yearsH1: years Based on the hypotheses, find the following: Test Statistic z = (Give answer to at least 4 decimal places)Critical Values =± (Give answer to at least 4 decimal places) Based on the above we choose to The correct summary would be: that the claim that the mean age smokers first start is different than 13.
The mean age when smokers first start is 13 years old with a population standard deviation of 1.8 years. A researcher thinks that smoking age has significantly changed since the invention of ENDS—electronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. The sample of 33 smokers found that their mean starting age was 12.3 years old. Do the data support the claim at the 5% significance level? What are the correct hypotheses? Based on the hypotheses, find the following: Test Statistic z = (Give answer to at least 2 decimal places) From the table(https://ma336.qccmathcs.com/ ), Find p-value = (Give answer to at least 4 decimal places)
The cheetah is the fastest land mammal and Is highly specialized to run down prey. Thecheetah often exceeds speed of 60 miles per hour (mph) and is capable of speed 72 mph. Thesample mean and standard deviation of speeds of 35 cheetahs are 59.53 mph and 4.19,respectively. A histogram of the speeds is bell-shaped. Use the empirical rule to estimate thepercentage of the observations that lie within one, two and three standard deviation of theeither side of the mean.
One way to check on how representative a survey is of the population from which it was drawn is to compare various characteristics of the sample with the population characteristics. A typical variable used for this purpose is age. The GSS 2018 found a mean age of 48.69 and a standard deviation of 17.99 for its sample of 1,495 American adults. Assume that we know from census data that the mean age of all American adults is 37.80. What is the research and the null hypotheses for a two-tailed test of means, calculate the t statistic and test the null hypothesis at the .001 significance level, and what is the decision about the null hypothesis?
The National Weather Service says that the mean daily high temperature for October in a large mid-western city is 56°F. A local weather service suspects that this value is not accurate and wants to perform a hypothesis test to determine whether the mean is actually lower than 56°F. A sample of mean daily high temperatures for October over the past 37 years yields a sample mean of 54o F. Assume that the population standard deviation is 5.6° F. Perform the hypothesis test at the 1% significance level. STEP 1. H0: µ:____ ______o _____: H1: µ ____ o NOTE: For ≠ enter /= STEP 2. This test is (e) left-tailed, (f) two-tailed or (g) right-tailed test. This test is:___ (enter e, f or g) STEP 3. The critical value (s) is Use the following chart to identify the critical value (s) Left-tailed Two-tailed Right tailed α =10% z = -1.28 (A) z=∓1.65 (B)…
(b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. • The value of the test statistic is given by √n The p-value is the area under the curve to the right of the value of the test statistic. O One-tailed o Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p- value. Step 4: Enter the p- value. (Round to 3 decimal places.) 0.3 0.2 0.1 (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the studio. o Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean player rating is higher than 90. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean player rating is higher than 90.…
The manufacturer of a particular brand of tires claims they average at least 50,000 miles before needing to be replaced. From past studies of this tire, it is known that the population standard deviation is 8,000 miles. A survey of tire owners was conducted. From the 21 tires surveyed, the mean lifespan was 41500 miles. Using alpha = 0.05, can we prove that the data in inconsistent with the manufacturers claim? What is the Test Statistic
Historically, the mean age of all Memphis residents has been 40 years. You believe this has changed. You take a random sample of 130 Memphis residents and find that their mean age is 36 years with a standard deviation of 17 years. Can you conclude that the mean age of all Memphis residents has changed from 40 years. For the hypothesis testing scenario above, compute the test statistic. For the hypothesis testing scenario above, you conclude that the mean age of all Memphis residents has changed from 40 years at the 0.05 significance level. Compute the 95% confidence interval to estimate the mean age of all Memphis residents.

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