**Title: Investigating the Impact of Listening to Music on 10K Running Times****Overview:**This study seeks to determine if listening to music affects the 10K running times of nine runners. Each runner's time was recorded with and without music. The following data reflects their running times in minutes:**Running Time Data:**- **With Music:** 45, 36, 42, 37, 52, 47, 40, 53, 50- **Without Music:** 46, 37, 47, 38, 54, 44, 43, 51, 53**Statistical Analysis:**To test the hypothesis, a normal distribution model is assumed with a significance level (α) set at 0.10.**Steps to Conduct the Test:**a. **Hypotheses Setup:** - **Null Hypothesis (H₀):** There is no difference in mean running times with and without music. - **Alternative Hypothesis (H₁):** There is a significant difference in mean running times, possibly indicating shorter times with music.b. **Calculating the Test Statistic:** - Compute the test statistic using the mean and standard deviation of the running times, ensuring the result is accurate to three decimal places.c. **Determining the P-value:** - Calculate the p-value using the test statistic, rounding to four decimal places.d. **Comparison to α:** - Determine if the p-value is less than or equal to α to decide whether to reject the null hypothesis.e. **Conclusion Based on Data:** - **Reject the Null Hypothesis:** If the p-value ≤ α, suggesting music might influence running time. - **Fail to Reject the Null Hypothesis:** If the p-value > α, indicating insufficient evidence to conclude music affects running time.**Interpretation:**g. **P-value Contextualization:** - Explained in terms of the probability under the null hypothesis that the observed effect is purely by chance.h. **Significance Level Contextualization:** - Relates the chance of incorrectly rejecting the null hypothesis (Type I error) to the significance level (α = 0.10).This educational content helps students understand hypothesis testing, statistical analysis, and interpreting p-values in the context of real-world research scenarios.

Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Answered: Does 10K running time decrease when the…

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

Don't know how to solve
Use the z-score table in your explanations in addition to the raw scores and z-scores.
The life span in Honolulu is approximately normally distributed. The mean life span is 77 years. A foreign newspaper claims that the mean lifespan for Honolulu residents is less than 77 years. You randomly select a sample of 20 obituary notices in a Honolulu newspaper. The table below shows the data collected (in years). 72 68 81 93 56 19 78 94 83 84 77 69 85 97 75 71 86 47 66 27 Test the foreign newspaper's claim using a = 0.01. There is enough evidence to reject the null hypothesis. The claim is true. There is enough evidence to reject the null hypothesis. The claim is false. There is not enough evidence to reject the null hypothesis. The claim is probably true. There is not enough evidence to reject the null hypothesis. The claim is probably false.
Please help with B and C
Samples of starting annual salaries for individuals entering the public accounting and financial planning professions follow. Annual salaries are shown in thousands of dollars. Public Accountant 51.2 59.8 56.3 58.2 55.2 56.0 51.9 60.5 57.0 50.9 Financial Planner 50.0 49.2 54.1 56.9 50.9 53.6 Find the value of the test statistic. W = 75.50 X 49.7 53.9 51.8 48.9 (a) Use a 0.05 level of significance and test the hypothesis that there is no difference between the starting annual salaries of public accountants and financial planners. State the null and alternative hypotheses. O Ho: The two populations of salaries are not identical. H₂: The two populations of salaries are identical. O Ho: Median salary for public accountants - Median salary for financial planners 20 H₂: Median salary for public accountants - Median salary for financial planners 0 O Ho: Median salary for public accountants - Median salary for financial planners > 0 H₂: ₂: Median salary for public accountants - Median salary…
Assume the samples are random and independent, the populations are nomally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. (a) Let u1. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H. H Cost of batteries by type The claim is the V hypothesis. Group size 35 Group size 65 Group size 24/24F 101 111 121 124 D 146 173 182 278 124 140 141 89 (b) Find the critical value, Fo, and identify the rejection region. 90 79 84 The rejection region is F Fo, where Fo = (Round to two decimal places as needed.) (c) Find the test statistic F. Print Done F= (Round to two decimal places as…
Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores: Grades 73.5 63.9 64.3 85.5 62.7 69 88 63.9 65 64.3 Test grades are believed to be normally distributed.Use a significance level of 5%.
← A study considers if the mean score on a college entrance exam for students in 2005 is any different from the mean score of 499 for students who took the same exam in 1975. Let u represent the mean score for all students who took the exam in 2005. For a random sample of 40,000 students who took the exam in 2005, x = 497 and s= 100. Use this information to complete parts a through c below. a. Find the test statistic. t = -4 (Round to two decimal places as needed.) b. Find the P-value for testing Ho: μ = 499 against H₂: μ#499. (Round to three decimal places as needed.) The P-value is ...
A violin student records the number of hours they spend practicing during each of ten consecutive weeks. 2.5 3.5 3 2.4 What is the first quartile for this data? 3.6 7 8.1 5.4 7 4.1 8.6
Discuss this histogram. Do resting heart rates of these subjects appear to be normal distribution? Explain your reasoning. What other preliminary conclusions can you make based on this graph?
Please help.
Need help please

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