A data set includes data from student evaluations of courses. The summary statistics are n= 86, x = 3.68, s = 0.69. Use a 0.10 significance level to test the claim that the population of student courseevaluations has a mean equal to 3.75. Assume that a simple random sample has been selected. Identifythe null and alternativehypotheses, test statistic, P-value, and state the final conclusion that addressesthe original claim.What are the null and altemative hypotheses?O A. Ho: u= 3.75O B. Ho: = 3.75H: p23.75H: p> 3.75O C. Ho: u= 3.75OD. Ho: u3.75Hi: με 375H: u< 3.75What is the test statistic?Z =(Round to two decimal places as needed.)What is the P-value?P-value =(Round to four decimal places as needed.)State the final conclusion that addresses the original claim._( sufficient/not sufficient)evidence to conclude that the mean of the population of student course evaluations is equal to 3.75(fail to reject/reject ) HO. There is– (is/is not) correct.

Answered: Image /qna-images/answer/7d2eeae1-e0c0-4538-8949-9ee260f70576.jpg

Answered: A data set includes data from student…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose Michigan State University's Collegiate Employment Institute found that starting salaries for recipients of bachelor's degrees in business was $50,032 in 2017. The results for a sample of 100 business majors receiving a bachelor's degree in 2018 showed a mean starting salary of $51,279 with a sample standard deviation of $5,200. Conduct a hypothesis test to determine whether the mean starting salary for business majors in 2018 is greater than the mean starting salary in 2017. Use ? = 0.01 as the level of significance. State the null and alternative hypotheses. (Enter != for ≠ as needed.) H0: Ha: Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject H0. There is insufficient evidence to conclude that the mean starting salary for business majors has increased in 2018. Reject H0. There is sufficient evidence to conclude that…
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.
6) A researcher is interested in whether women like Justin Bieber's music more than men. The extent to which people liked Bieber's music was measured on a 10 point scale ranging from 1 = do not like at all, to 10 like Justin Bieber's music more than men (alpha = .05). very much like. Using the data below, please determine whether women Women Men 7 4 8 7 4 a) What type statistical analysis should you perform? Please explain your rationale b) Please state the null and alternative hypotheses c) Please write out the results (t-value, df, p-value) and make a decision d) Please make a general conclusion (no stats talk)
2. Interpret this data.
Another idea is to look at how a team's payroll impacts its home attendance. Higher payroll usually signals more higher-skilled players on a roster which should brings fans to the ballpark to see these players. Create 2 samples based on Team Salary and calculate average attendance, variance of attendance, and standard deviation of attendance for each sample. Sample 1 = 10 teams with the highest team salary Sample 2 = 10 teams with the lowest team salary Tip: Use Excel's sorting tool to sort the data by salary (highest to lowest), and copy the 10 highest and 10 lowest into a separate part of the spreadsheet for easier analysis. Sample 1 Sample 2 Top 10 Team Salary Bottom 10 Team Salary Sample mean attendance mil mil Sample attendance variance mil mil Sample attendance standard deviation mil mil Perform a hypothesis test to determine whether there is a difference in the mean attendance of teams between the two groups…
A data set includes data from student evaluations of courses. The summary statistics are n=97, x=3.44, s=0.61. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternativehypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? A. H0: μ=3.50 H1: μ≠3.50 B. H0: μ=3.50 H1: μ>3.50 C. H0: μ=3.50 H1: μ<3.50 D. H0: μ≠3.50 H1: μ=3.50 Determine the test statistic. nothing (Round to two decimal places as needed.) Determine the P-value. nothing (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. ▼ Fail to reject Reject H0. There is ▼ sufficient not sufficient evidence to conclude that the mean…
A random sample of 50 gas stations in Cook County, Illinois, resulted in a mean price per gallon of $2.60 and a standard deviation of $0.07. State the Empirical Rule. A histogram of the data indicates that the data follow a bell-shaped distribution. Use the Empirical Rule to determine the percentage of gas stations that have prices within three standard deviations of the mean. Determine the percentage of gas stations that have prices between $2.46 and $2.74, according to the Empirical Rule. Explain your calculations. Would a gas price of $2.99 be considered unusual in the statistical sense? Why or why not?
Rhys is a quality control manager at a facility that manufactures snack foods. He is interested in the number of whole mini- pretzels that are in the 10 oz bags in the latest lot produced. Rhys selects 24 bags of mini-pretzels at random from the latest lot and counts the number of pretzels in each bag His sample has a mean of 158 pretzels with a standard deviation of 1.6 pretzels. What is the margin of error with 95% confidence (2 = 2.07)? O 0.02 O 66.76 O 0.68 O 6.34
A professional marketing survey involves product recognition in New York and California. Of 558 New York residents surveyed, 193 knew the product while 179 out of 614 Californians knew the product. 1. Test the claim that the recognition rates are greater in New York. 2. In which state does the product need the most help with name recognition? Use the given data to compare mean age of residents in Seaside and Marina. Sample Data * = 43.2 yr s = 4.7 yr n = 97 Seaside Before After 1. Test the claim that the mean age of seaside residents is equal to the mean age of Marina residents. 2. How would the result change if we use a = 0.01? Matched Pairs: Write the alternative hypothesis H₁, for each claim: 1. New engine management software will increase the gas mileage in your car. 2. My coaching will reduce your golf score. Difference An instructor gives a test before and after a lesson with these results from randomly selected students Before and After Data 54 70 = 61 Marina 56 s = 6.7 year…
Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x = 101.02, y = 100.75, r = 0.852, P-value = 0.000, and y = 5.93 + 0.94x, where x represents the IQ score of the husband. Find the best predicted value of y given that the husband has an lQ of 100? Use a significance level of 0.05. %3D Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of y is Critical values of the pearson correlation coefficient r (Round to two decimal places as needed.) Critical Values of the Pearson Correlation Coefficient r X = 0.05 a = 0.01 INOTE: To test Ho: p=0 n Jagainst H,: p+0, reject Ho if the absolute value of r is greater than the critical value in the table. 4 0.950 0.990 0.878 0.959 0.811 0.917 7 0.754 0.875 0.707 0.834 0.666 0.798 10 0.632 0.765 11 0.602 0.735 12 0.576 0.708 13 0.553 0.684 14 0.532 0.661 15 0.514 0.641 16 0.497 0.623 17 0.482 0.606 18 0.468 0.590 19 0.456 0.575 20 0.444…
Assume that a simple random sample has been selected and test the given claim. Use the P-value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.The ages of actresses when they won an acting award is summarized by the statistics n=79, x=35.4 years, and s=11.4 years. Use a 0.05 significance level to test the claim that the mean age of actresses when they win an acting award is 32 years.Question content area bottomPart 1What are the hypotheses?A.H0: μ=32 yearsH1: μ≥32 yearsB.H0: μ≠32 yearsH1: μ=32 yearsC.H0: μ=32 yearsH1: μ<32 yearsD.H0: μ=32 yearsH1: μ≠32 yearsPart 2Identify the test statistic.t=enter your response here (Round to three decimal places as needed.)Part 3Identify the P-value.The P-value is enter your response here. (Round to four decimal places as needed.) Part 4State the final conclusion that addresses the original claim. Choose the…

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