**Understanding Hypothesis Testing: Veterans Day Celebrations Attendance Analysis**Consider the information provided in the previous question. It is conjectured that the mean number of people attending all 2017 Veterans Day celebrations is 145. The objective is to test this conjecture against the alternative hypothesis, which posits that the mean number of people attending all 2017 Veterans Day celebrations differs from 145 people.To test this hypothesis, a simple random sample of 41 Veterans Day celebrations was selected, and the number of people attending each was recorded. For this sample of 41 celebrations, the mean number of people attending was 157, with a standard deviation of 23 people. The distribution of the data was bimodal. Use this information to test the hypotheses stated below at the 0.05 level of significance.**Question 3**Which of the following are the appropriate null and alternative hypotheses?1. \( H_0: \mu = 145, H_a: \mu < 145 \)2. \( H_0: \mu = 145, H_a: \mu \ne 145 \)3. \( H_0: \mu = 145, H_a: \mu > 145 \)4. \( H_0: \mu = 145, H_a: \mu \ne 145 \)---The correct formulation of the null hypothesis (\( H_0 \)) and the alternative hypothesis (\( H_a \)) is crucial for testing your conjecture using the provided data. Carefully evaluate each option to determine which pair of hypotheses correctly tests whether the mean attendance of 2017 Veterans Day celebrations is different from the assumed 145 people.

Given information Sample mean x̅ = 157 Population mean µ = 145 Sample size n = 41 Standard deviation…

Answered: Consider the information above and in…

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

Students in a representative sample of 65 first-year students selected from a large university in England participated in a study of academic procrastination. Each student in the sample completed the Tuckman Procrastination Scale, which measures procrastination tendencies. Scores on this scale can range from 16 to 64, with scores over 40 indicating higher levels of procrastination. For the 65 first-year students in this study, the mean score on the procrastination scale was 37.2 and the standard deviation was 6.41. USE SALT (a) Construct a 95% confidence interval estimate of μ, the mean procrastination scale for first-year students at this college. (Round your answers to three decimal places.) (b) Based on your interval, is 40 a plausible value for the population mean score? O Yes O No What does this imply about the population of first-year students? O This implies that on average, students at this university do have high levels of procrastination. O This implies that students at this…
A certain prescription medicine is supposed to contain an average of 250 parts per million (ppm) of a certain chemical. If the concentration is higher than this, the drug may cause harmful side effects; if it is lower, the drug may be ineffective. The manufacturer runs a check to see if the mean concentration in a large shipment conforms to the target level of 250 ppm or not. A simple random sample of 100 portions is tested, and the sample mean concentration is found to be 247 ppm. The sample concentration standard deviation is s = 12 ppm. Suppose that the p-value was 0.0259. What is the appropriate conclusion to make if α = 0.05? Group of answer choices Fail to reject H0. We have insufficient evidence to conclude that the mean concentration is different from 250 ppm. Fail to reject H0. We have sufficient evidence to conclude that the mean concentration is less than 250 ppm. Reject H0. We have insufficient evidence to conclude that the mean concentration is less than 250…
The mean number of sick days an employee takes per year is believed to be about 10. Members of a personnel department do not believe this figure. They randomly survey &8 employees. The number of sick days they took for the past year are as follows: 12; 6; 15; 3; 10; 8; 8; 8. Let X= the number of sick days they took for the past year. Should the personnel team believe that the mean number is about 10? Conduct a hypothesis test at the 5% level. What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) What is the p-value? (Round your answer to four decimal places.) Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to three decimal places.)
Two popular brands of tires for tractor-trailers are the Puma and the Eternal. Salma is a buyer for a major shipping company and wants to determine if there is any difference between the two brands of tire in the mean distance (in thousands of km) driven on them before they need to be replaced. In the company's testing lab, Salma tests a random sample of 14 Puma tires and a random sample of 15 Eternal tires. (These samples are chosen independently.) For the Puma tires, the sample mean distance (in thousands of km) until they would need to be replaced is 54.71 with a sample variance of 5.95. For the Eternal tires, the sample mean distance (in km) until they would need to be replaced is 50.21 with a sample variance of 37.75. Assume that the two populations of distances driven are approximately normally distributed. Can Salma conclude, at the 0.05 level of significance, that there is a difference between the population mean of the distances (in thousands of km) driven on Puma tires before…
An adventure company runs two obstacle courses, Fundash and Coolsprint. The designer of the courses suspects that the mean completion time of Fundash is not equal to the mean completion time of Coolsprint. To test this, she selects 205 Fundash runners and 300 Coolsprint runners. (Consider these as random samples of the Fundash and Coolspring runners.) The 205 Fundash runners complete the course with a mean time of 76.7 minutes and a standard deviation of 5.3 minutes. The 300 Coolsprint runners complete the course with a mean time of 77.5 minutes and a standard deviation of 5.1 minutes. Assume that the population standard deviations of the completion times can be estimated to be the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there enough evidence to support the claim that the mean completion time, ,, of Fundash is not equal to the mean completion time, μ₂, of Coolsprint? Perform a two-tailed test.…
To become an actuary, it is necessary to pass a series of 10 exams, including the most important one, an exam in probability and statistics. An insurance company wants to estimate the mean score on this exam for actuarial students who have enrolled in a special study program. They take a sample of 8 actuarial students in this program and find the mean of the sample is 6.0 with standard deviation of the sample 2.0. This sample will be used to calculate a 95% confidence interval for the mean score for actuarial students in the special study program. A 95% confidence interval for the mean score of actuarial students in the special program is from ________ to ________. Question 17 options: 1) 3.52 to 8.47 2) 4.69 to 7.31 3) 4.66 to 7.34 4) 4.33 to 7.67
Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 37 randomly selected people who train in groups, and finds that they run a mean of 47.7 miles per week. Assume that the population standard deviation for group runners is known to be 3.3 miles per week. She also interviews a random sample of 49 people who train on their own and finds that they run a mean of 49.4 miles per week. Assume that the population standard deviation for people who run by themselves is 4.4 miles per week. Test the claim at the 0.10 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
A graduate student is interested in how viewing different types of scenes affects working memory. For his study, he selects a random sample of 36 adults. The subjects complete a series of working memory tests before and after walking in an urban setting. Before the walk, the mean score on the test of working memory was 9.1. After the walk, the mean score was 1.4 higher. The graduate student has no presupposed assumptions about how viewing different types of scenes affects working memory, so he formulates the null and alternative hypotheses as: H00 : μDD = 0 H11 : μDD ≠ 0 Assume that the data satisfy all of the required assumptions for a repeated-measures t test. The graduate student calculates the following statistics for his hypothesis test: Mean difference (MDD) 1.4 Estimated population standard deviation of the differences (s) 1.6 Estimated standard error of the mean differences (sMDMD) 0.2667 Degrees of freedom (df) 35 The t statistic 5.25 The critical values of t…
A certain prescription medicine is supposed to contain an average of 250 parts per million (ppm) of a certain chemical. If the concentration is higher than this, the drug may cause harmful side effects; if it is lower, the drug may be ineffective. The manufacturer runs a check to see if the mean concentration in a large shipment conforms to the target level of 250 ppm or not. A simple random sample of 100 portions is tested, and the sample mean concentration is found to be 247 ppm. The sample concentration standard deviation is s = 12 ppm. What are the appropriate null and alternative hypotheses? Group of answer choices H 0: x̄ = 250 vs. H a: x̄ < 250 H 0: x̄ = 250 vs. H a: x̄ ≠ 250 H 0: x̄ = 250 vs. H a: x̄ > 250 H 0: μ = 250 vs. H a:μ < 250 H 0: μ = 250 vs. H a: μ ≠ 250 H 0: μ = 250 vs. H a: μ > 250
Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 42 randomly selected people who train in groups and finds that they run a mean of 47.1 miles per week. Assume that the population standard deviation for group runners is known to be 4.4 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 1.8 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
A school had a lot of problems with student absences and wanted to try a intervention program to see if it encouraged students to come to school more often. As a trial, 26 students were split into two equal size groups. Group 1 would get the new intervention and Group 2 got no intervention. The mean- number of absences was calculated after one month for each group, as shown in the table below. What inference can be made about the results? Group 1 Group 2 3 5 3 1 3 2 3 4 1 3 2 1 2 3 3 4 2 5 1 3 1 6 4 2 1 2 Mean: 2.2 Mean: 3.2 Frequency200 Simulated Group Mean Differences Since the simulation shows FEW CASES OR Many Cases. where a mean difference of ___ or less occurred when the groups were re-randomized, it can be inferred that the mean difference observed in the study was VERY POSSIBLY OR VERY UNLIKELY due to the random assignment of participants into groups, so the results…
One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. You are interested in the mean score, μ , among the general population on this subsection. The website reports that μ is 145, but you have good reason to believe that μ is less than 145. You decide to do a statistical test. You choose a random sample of people and have them take the personality test. You find that their mean score on the subsection is 139 and that the standard deviation of their scores is 28. Based on this information, complete the parts below. (a) What are the null hypothesis H0 and the alternative hypothesis H1that should be used for the test? H0: H1: (b) Suppose that you decide to reject the null hypothesis. What sort of error might you be making? ▼(Choose one) (c) Suppose the true mean score among the general population on the subsection is 136. Fill in the blanks to describe a Type II error. A Type II error…

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