In a test of the hypothesis $ H_0: \mu \leq 56 $ versus $ H_a: \mu > 56 $, a sample of $ n = 100 $ observations possessed a mean $ \bar{x} = 55.4 $ and standard deviation $ s = 4.2 $. Find and interpret the p-value for this test.The p-value for this test is $\_\_\_\_\_$. (Round to three decimal places as needed.)Interpret the result. Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.)A. ⬜ The probability (assuming that $ H_0 $ is true) of observing a value of the test statistic that is at least as contradictory to the null hypothesis is $\_\_\_\_\_$.B. ⬜ The probability (assuming that $ H_0 $ is true) of observing a value of the test statistic that is equal to the null hypothesis is $\_\_\_\_\_$.C. ⬜ The probability (assuming that $ H_a $ is true) of observing a value of the test statistic that is at most as contradictory to the null hypothesis is $\_\_\_\_\_$.

Answered: Image /qna-images/answer/4f9c996c-ab40-4f72-8c42-23920f11a47f.jpg

Answered: In a test of the hypothesis Ho: µs 56…

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

Chell is testing several types of boots for durability when falling a long distance. She found six types of boots. For each boot she drops from increasing heights until she is injured. Her overall average was 72.5 feet, with a pooled standard deviation of 6.4. The data for each type is shown below. Number ofboots Std Dev(for each boot) Mean height(in feet) Steel 24 6.9 69.5 Titanium 7 8.9 69.4 Vibranium 18 5.2 73.3 Mithril 8 5.9 74.5 Netherite 13 4.4 75.4 Atium 15 7.2 74.2 Assuming normality and equal variances perform a hypothesis test.Use three decimal places in the table
Using a 1-7ikert scale, a researcher measured respondents desirability towards cars, and he hypothesized that the respondents rated 4 out of 7 in their desirability towards 2 seat runabout sport electric vehicle. Referring to the SPSS output which of the foliowing statements /are correct? One-Sample Statistics Mean Std. Deviation Std. Error Mean Desirability: 2 Seat Runabout Sport Electric 1000 3.92 1.537 .049 One-Sample Test Test Value 4 95% Confidence Interval of the Mean Difference Sig (2-tailed) Difference Lower Upper Desirability: 2 Seat Runabout Sport Electric -1.626 999 .104 -.079 17 02 The researcher's alternate hypothesis is supported O b All answers are correct Oc The researcher's test value is higher than the average score rated by respondents. O d. The test value falls within the 95% confidence interval of the dataset.
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.
A consumer group claims that the average annual consumption of high fructose corn syrup by a person in the U.S. is 48.8 pounds. You believe it is higher. You take a simple random sample of 31 people in the U.S. and find an average of 53.3 pounds with a standard deviation of 5.2 pounds. Test at 5% significance.Round to the fourthH0: HA: Test Statistic: P-value: Did something significant happen? Select the Decision Rule: There enough evidence to conclude
select which of the three is correct
i need C and D
Americans are about 1 inch taller but nearly 25 pounds heavier than in 1960. The average BMI increased from approximately 25 to 28 in 2002. Boston is considered one of americas healthiest cities. Is the weight gain since 1960 similar in boston? Sample of n=25 and mean increase of 17 with standard deviation of 8.6. Is boston statistically significantly different in terms of weight gain since 1960? Run the appropriate test at 5%level of significance. A.state the null and the research hypotheses, b. Idebtify critical values of z 9r t used to define the decision rule, c. Calculate the test statistic, d. Report the p-value, e. Report your findings
24
During an economic crisis, the average value of homes in a community of 36 homes lost $9445 with a standard deviation of $1300. The average home value in the region lost $8990. Was this community of 36 homesunusual? Use a t-test to decide if the average loss observed was significantly different from the region value. Use a level of significance α=0.05. Identify the hypotheses for the test. H0: μ ▼ not equals≠ equals= greater than> less than< nothing HA: μ ▼ equals= greater than> not equals≠ less than< nothing The test statistic is nothing. (Round to two decimal places as needed.) The P-value is nothing. (Round to three decimal places as needed.) What is the conclusion of the test? Was the average loss observed significantly different from the region value? ▼ Reject Fail to reject the null hypothesis because the P-value is ▼ greater less than the given significance level, and conclude that the…
Do shoppers at the mall spend more money on average the day after Thanksgiving compared to the day after Christmas? The 52 randomly surveyed shoppers on the day after Thanksgiving spent an average of $122. Their standard deviation was $29. The 59 randomly surveyed shoppers on the day after Christmas spent an average of $117. Their standard deviation was $35. What can be concluded at the αα = 0.05 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: H1:H1: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis.
A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than 19 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 94 bolts. The sample mean bolt length was 19.06 centimeters. The population standard deviation is known to be o = 0.26 centimeters. What is the test statistic z? Ex: 1.23 What is the p-value? Ex. 0.123 Does sufficient evidence exist that the length of boltş is actually greater than the mean value at a significance level of a = 0.01?[ Select v
Analysts of traffic control systems believe that the average speed of heavy vehicles on highways has decreased after passing an ordinance of high penalty to regulate over speeding. The average speed for a random selection of 36 trucks was found to be 55 mph with a standard deviation of 5 mph. The speed before the ordinance was passed was an average of up to 57 mph on these highways.Compute the value of the test statistic. Group of answer choices 0.40 -0.40 2.40 -5.37 -2.40

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