Question
A) The speed limit on Main Street is 35mph. A local police department wants to see if the average rate of speed of vehicles along
A) The speed limit on Main Street is 35mph. A local police department wants to see if the average rate of speed of vehicles along a strip of Main Street exceeds the speed limit. With hidden radar, the speed of a random selection of 300 cars was measured, which yielded a mean of 41 mph and a standard deviation of 5 mph. Use a 99% significance level. 1) What is the alternative hypothesis? 2) What is the Null Hypothesis? 3) Calculate the value of the test statistic ________ 4) What is the critical value? ________ 5) Do you reject or fail to reject the null hypothesis? _________________ 6) What is your conclusion?
B) A company thinks 50% of workers in a high-rise office are very satisfied with the quality of elevator service. After conducting random sample of 400 workers building, the results revealed that 60% were very satisfied. Use a 95% significance level. 7) What is the alternative hypothesis? 8) What is the Null Hypothesis? 9) Calculate the value of the test statistic ________ 10) What is the critical value? ________ 11) Do you reject or fail to reject the null hypothesis? _________________ 12) What is your conclusion?
C) You developed a series of questions to measure job satisfaction of bus drivers in New York City. You expect the average job satisfaction to be greater than 7.5. A random sample of 100 drivers has an average score of 8.2, with a standard deviation of 2.8. Use a 95% significance level. 13) What is the alternative hypothesis? 14) What is the Null Hypothesis? 15) Calculate the value of the test statistic ________ 16) What is the critical value? ________ 17) Do you reject or fail to reject the null hypothesis? _________________ 18) What is your conclusion?
D) Nation-wide patients at drug and alcohol rehabilitation programs have a relapse rate of 30%. An administrator at a local facility thinks their relapse rate is less than the national rate. After conducting a random sample of 00 patients treated in a program for alcoholism and drug dependency over the past 10 years was selected. It was determined that 170 of the patients had been readmitted to the program. Use a 95% significance level. 19) What is the alternative hypothesis? 20) What is the Null Hypothesis? 21) Calculate the value of the test statistic ________ 22) What is the critical value? ________ 23) Do you reject or fail to reject the null hypothesis? _________________ 24) What is your conclusion?
E) A researcher measured the number of times people smiled in a five minute period. The sample included 10 women and 8 men. She found that the men smiled an average of 8 times with a standard deviation of 2.8. Women smiled an average of 11 times with a standard deviation of 3.4. Is there a difference in how often men and women smile? Use a 95% significance level. 1 2 = 1.57 25) What is the research hypothesis? 26) What is the Null Hypothesis? 27) Calculate the value of the test statistic _______ 28) What is the critical value? _________ 29) Do you reject or fail to reject the null hypothesis? _________________ 30) What is your conclusion?
F) A consultant was hired to study the influence of sick-pay benefits on absenteeism. She randomly selected 15 hourly employees who do not get sick pay and 15 salaried employees who receive sick pay. The mean absenteeism (days per year) for hourly employees was 3.2, with a standard deviation of 2.8. The mean absenteeism for salaried employees was 5.8, with a standard deviation of 2.2. Is there a difference in absenteeism between the two groups? Use a 95% significance level. 1 2 = 0.97 31) What is the research hypothesis? 32) What is the Null Hypothesis? 33) Calculate the value of the test statistic _______ 34) What is the critical value? _________ 35) Do you reject or fail to reject the null hypothesis? _________________ 36) What is your conclusion?
G) Using the same scenario as F, only this time test to see if the salaried group has a higher average absenteeism than the hourly group 37) What is the research hypothesis? 38) What is the Null Hypothesis? 39) Calculate the value of the test statistic ________ 40) What is the critical value? _________ 41) Do you reject or fail to reject the null hypothesis? _________________ 42) What is your conclusion?
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