A new type of crank for bicycles called the Powercam relies on a pushing motion rather than a circular motion. The company that markets this crank plans a test of five riders who will travel a 100-mile route once with the Powercam and once with a conventional crank. The company claims that the new erank reduces the time needed to cover the 100 miles. The times in hours for the five riders are as Follows: Rider 1 3 4 Powercam 4.4 4.6 4.7 4.8 4.9 Conventional 5.1 5.3 5.1 4.9 5.2 Is there sufficient evidence in the data to support the claim that the new crank reduces the time needed co cover the 100 miles? Use a 5% significance level and assume that both population distributions are normal

A new type of crank for bicycles called the Powercam relies on a pushing motion rather than a circular motion. The company that markets this crank plans a test of five riders who will travel a 100-mile route once with the Powercam and once with a conventional crank. The company claims that the new erank reduces the time needed to cover the 100 miles. The times in hours for the five riders are as Follows: Rider 1 3 4 Powercam 4.4 4.6 4.7 4.8 4.9 Conventional 5.1 5.3 5.1 4.9 5.2 Is there sufficient evidence in the data to support the claim that the new crank reduces the time needed co cover the 100 miles? Use a 5% significance level and assume that both population distributions are normal

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

A company is carrying out a consumer satisfaction survey for two of its products, product A and product B. The company believes that product A receives a higher proportion of satisfied customers than product B. Out of the 80 product A customers surveyed, 52 said they were satisfied with the product and out of the 100 product B customers surveyed, 42 said they were satisfied with the product. Use these sample statistics to compare the proportion of product A customers that are satisfied, p 1, and the proportion of product B customers that are satisfied, p 2. i) Carry out a hypothesis test for a significant difference between the two population proportions, at significance level α = 0.05. The hypotheses being tested are: H 0: p 1 - p 2 = 0 H a: p 1 - p 2 ≠ 0. Complete the test by filling in the blanks in the following:An estimate of the difference in population proportions is .The standard error is (3 dec places).The distribution is (examples: normal / t12 /…
A survey asked students for their college and their satisfaction with their program. The results are provided in the tables below. Determine if there is a relationship between college and satisfaction at the 0.05 level of significance. Satisfied Not Satisfied Arts and Sciences 5 2 Education 6 1 Technology 14 12 Business 18 12 Health Profession 10 4 Social and Behavioral Sciences 8 12 H0: College and Satisfaction are independent. H1 : College and Satisfaction are dependent. Determine the p-value. What is the correct decision for this test? What is your conclusion, in context? Explain your reasoning.
A veterinarian is interested in researching the proportion of men and women cat owners and believes that the proportion of men cat owners is significantly different than the proportion of women cat owners. The veterinarian decides to obtain two independent samples of men and women cat owners and finds from one sample of 60 men, 35% owned cats. In the second sample of 80 women, 60% owned cats. Test the veterinarian's belief at the a = significance level. Preliminary: a. Is it safe to assume that nmen 5% of all men and nwomen 5% of all women? 0.05 Yes No b. Verify np (1 - p) ≥ 10. Round your answer to one decimal place. np (1 − p) nmen = nwomen (1 - p) Test the claim: = a. Determine the null and alternative hypotheses. Ho: Pmen? Pwomen Ha Pmen ? Pwomen b. The hypothesis test is right-tailed left-tailed two-tailed c. Determine the test statistic. Round to two decimal places. z = d. Find the p-value. Round to four decimal places. p-value e. Make a decision. O Fail to reject the null…
A simple random sample of size n= 16 is drawn from a population that is normally distributed. The sample mean is found to be x= 21.2 and the sample standard deviation is found to be s= 6.5. Determine if the population mean is different from 26 at the a= 0.05 level of significance. Complete parts (a) through (d) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Click here to view the table of criticaltevalmes (a) Determine the null and alternative hypotheses. Ho H,: (Type integers or decimals. Do not round.) (b) Identify the test statistic. (Round to two decimal places as needed.) Approximate the P-value. The P-value is in the range (c) State the conclusion for the test.
Identify each of the variables as quantitative or categorical. Also, identify each of the variables as an explanatory variable or a response variable.
Please help with (D)
A retailer is looking to evaluate its customer service. Management has determined that if the retailer wants to stay competitive, then it will have to have at least a 91% satisfaction rate among its customers. Management will take corrective actions if the satisfaction rate falls below 91%. They conduct a survey to determine if the satisfaction rate is lower than 91%. A survey of 1,450 customers showed that 1,305 were satisfied with their customer service. (a) Give the test statistic. (Round to two decimal places.) (b) Give the p-value (Round to three decimal places.) (c) State whether or not the management should take corrective action, based on a 5% significance level. Explain briefly.
A researcher designs an intervention to combat anti-Arab oppression. She also designs a questionnaire to measure anti-Arab oppression so she can test the participants' level of anti-Arab oppression before and after the intervention. She tests one version of her questionnaire with 45 statements and a shorter version with 12 statements. In both questionnaires, the participants respond to each statement with a rating on a 5-point Likert scale with 0 equaling "strongly disagree" and 4 equaling "strongly agree." The overall score for each participant is the mean of his or her ratings for the different statements on the questionnaire. Look at the following graphs. Graph I graphs the results from the long version, and Graph II graphs the results from the short version. Graph I Graph II PARTICIPANTS PARTICIPANTS 8 8 7 7 6 6 4 4 3 3 2 1 1 1 2 3 4 2 4 LONG QUESTIONNAIRE SCORE SHORT QUESTIONNAIRE SCORE Complete the following sentences by trusting your eyes to see meaningful differences in the two…
A retailer is looking to evaluate its customer service. Management has determined that if the retailer wants to stay competitive, then it will have to have at least a 91% satisfaction rate among its customers. Management will take corrective actions if the satisfaction rate falls below 91%. They conduct a survey to determine if the satisfaction rate is lower than 91%. A survey of 2,450 customers showed that 2205 were satisfied with their customer service. (a) Give the test statistic. (Round to two decimal places.) (b) Give the p-value (Round to three decimal places.) (c) State whether or not the management should take corrective action, based on a 5% significance level. Explain briefly.
ces An article reports that in a sample of 124 nurses, 53 said that a busy workload had a positive effect on their enjoyment of their job. Can you conclude that less than 45% of nurses feel that a busy workload has a positive effect on their enjoyment of their job? Find the P- value and state a conclusion. The P-value is We (Click to select) conclude that less than 45% of nurses feel that a busy workload has a positive effect on their enjoyment of their job.
p = proportion of students who drop out due to lack of economic resources A sociologist thinks that in his country the percentage of students who drop out due to lack of economic resources is different from 40%. He takes a sample of 70 student dropouts and finds that 37 of them dropped out due to lack of financial resources.Can the sociologist, with a significance level of 0.05, consider that the percentage of students who drop out due to lack of economic resources is different from 40%? Choose 1. The correct conclusion2. The correct interpretationSelect one:to)1. H0 is rejected2. With 95% confidence, it can be ensured that the percentage of those who drop out due to lack of economic resources in that country is not different from 40%, that is, the sociologist is wrongb)1. H0 is not rejected2. With 95% confidence, it can be ensured that the percentage of those who drop out due to lack of economic resources in that country is not different from 40%, that is, the sociologist is wrongc)1.…
A research study concluded that self-employed individuals do not experience higher job satisfaction than individuals who are not self-employed. In this study, job satisfaction is measured using 18 items, each of which is rated using a Likert-type scale with 1–5 response options ranging from strong agreement to strong disagreement. A higher score on this scale indicates a higher degree of job satisfaction. The sum of the ratings for the 18 items, ranging from 18–90, is used as the measure of job satisfaction. Suppose that this approach was used to measure the job satisfaction for lawyers, physical therapists, cabinetmakers, and systems analysts. Suppose the results obtained for a sample of 10 individuals from each profession follow. Lawyer Physical Therapist Cabinetmaker Systems Analyst 46 53 56 42 40 78 65 71 74 80 81 73 42 88 67 62 53 62 81 66 50 59 66 64 45 60 61 39 50 50 80 55 62 53 84 74 36 50 58 62 At the ? = 0.05 level of significance, test for any…