the hypothesis that o_A^2=o_B^2 against o_A^2#o_B^2 at a level of significance a=0.05. Does this mean that one instrument is more reliable than the other? Or are they equally accurate?
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- State the variance of the critical path.According to Zero Population Growth, the average urban U.S. resident consumes 3.3 pounds of food per day. Is this figure accurate for rural U.S. residents? Suppose 64 rural U.S. residents are identified by a random procedure and their average consumption per day is 3.60 pounds of food. Assume a population variance of 1.31 pounds of food per day. Use a 5% level of significance to determine whether the Zero Population Growth figure for urban U.S. residents also is true for rural U.S. residents on the basis of the sample data. Appendix A Statistical Tables (Round your answer to 2 decimal places.) The value of the test statistic is z = enter the value of the test statistic and we choose between reject and fail to reject the null hypothesis .A business school has a goal that the average number of years of work experience of its MBA applicants is more than three years. Historical data suggest that the variance has been constant at around six months, and thus, the population variance can be assumed to be know. Based on last years applications, it was found that among a sample of 47, the average number of years of work experience is 3.1. Can the school state emphatically that it is meeting its goal? Formulate the appropriate hypothesis test and conduct the test. What is the p-value associated with the appropriate hypothesis test for this problem?
- A researcher would like to conduct a hypothesis test to determine if the mean age of faculty cars is less than the mean age of student cars. A random sample of 25 student cars had a sample mean age of 7 years with a sample variance of 20, and a random sample of 32 faculty cars had a sample mean age of 5.8 years with a sample variances of 16. What is the critical value of the rejection region if the difference is taken as student - faculty and the test is conducted using a 5% significance level?In the past decade, two presidential elections in the United States have witnessed very long wait times at precincts (voting stations) in states that ultimately decided the election (Florida in 2000 and Ohio in 2004). In Philadelphia as well, some voters complained about the long lines in some precincts, with most complaints coming from precinct A. In 2004, the average number of voters arriving at Precinct A was 35 per hour and the arrivals of voters was random with inter-arrival times that had a coefficient of variation of 1 (CVa=1). Philadelphia deployed 1 voting machine in Precinct A. Suppose that each voter spent on average 100 seconds in the voting booth (this is the time needed to cast her/his vote using a voting machine), with a standard deviation of 120 seconds. Given the long wait times for Precinct A, the city of Philadelphia is thinking of alternative solutions to improve voting conditions. One of the proposed solutions is as follows. Proposal 1: Deploy an additional voting…In the past decade, two presidential elections in the United States have witnessed very long wait times at precincts (voting stations) in states that ultimately decided the election (Florida in 2000 and Ohio in 2004).In Philadelphia as well, some voters complained about the long lines in some precincts, with most complaints coming from precinct A. In 2004, the average number of voters arriving at Precinct A was 35 per hour and the arrivals of voters was random with inter-arrival times that had a coefficient of variation of 1 (CVa=1).Philadelphia deployed 1 voting machine in Precinct A. Suppose that each voter spent on average 100 seconds in the voting booth (this is the time needed to cast her/his vote using a voting machine), with a standard deviation of 120 seconds.Q1. How long on average did a voter have to wait in line at precinct A in 2004 beforeentering a booth to cast her/his vote?
- The university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks that require processing times comparable to those of computer 2. A random sample of 13 processing times from computer 1 showed a mean of 57 seconds with a standard deviation of 19 seconds, while a random sample of 10 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 53 seconds with a standard deviation of 20 seconds. Assume that the populations of processing times are normally distributed for each of the two computers and that the variances are equal. Construct a 95% confidence interval for the difference −μ1μ2 between the mean processing time of computer 1, μ1, and the mean processing time of computer 2, μ2. Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. What is the lower limit of the 95% confidence…The university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks that require processing times comparable to those of computer 2 . A random sample of 14 processing times from computer 1 showed a mean of 54 seconds with a standard deviation of 20 seconds, while a random sample of 9 processing times from computer 2 (chosen independently of those for computer 1 ) showed a mean of 61 seconds with a standard deviation of 19 seconds. Assume that the populations of processing times are normally distributed for each of the two computers and that the variances are equal. Construct a 95% confidence interval for the difference −μ1μ2 between the mean processing time of computer 1 , μ1 , and the mean processing time of computer 2 , μ2 . Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a…The university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks that require processing times comparable to those of computer 2 . A random sample of 12 processing times from computer 1 showed a mean of 69 seconds with a standard deviation of 19 seconds, while a random sample of 15 processing times from computer 2 (chosen independently of those for computer 1 ) showed a mean of 59 seconds with a standard deviation of 17 seconds. Assume that the populations of processing times are normally distributed for each of the two computers and that the variances are equal. Construct a 95% confidence interval for the difference −μ1μ2 between the mean processing time of computer 1 , μ1 , and the mean processing time of computer 2 , μ2 . Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least…
- The number of ice creams sold per hour from Mr Fishy’s van is observed to be a Poisson random variable with parameter λ = 8. Each ice cream costs two pounds but Mr Fishy has to pay five pounds per hour for the pitch. What is the variance of his hourly profit (measured in pounds and ignoring all other income and expenses)?The university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks which require comparable processing time to those of computer 2. A random sample of 10 processing times from computer 1 showed a mean of 51 seconds with a standard deviation of 20 seconds, while a random sample of 9 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 60 seconds with a standard deviation of 15 seconds. Assume that the populations of processing times are normally distributed for each of the two computers, and that the variances are equal. Can we conclude, at the 0.01 level of significance, that the mean processing time of computer 1, μ1, is less than the mean processing time of computer 2, μ2? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)The university conducted a study to observe the efficiency of students to see whether students do better when they study all at once or in intervals.One group of 12 participants participated in the survey after studying for one hour continuously. The other group of 12 participated in the survey after studying for three twenty-minute sessions. As per the survey, results group 1 had a mean score of 75 and a variance of 120. Second group had a mean score of 86 and a variance of 100. Assuming the normal populations, independent samples, and equal population variances conditions hold, are the mean test scores of these two groups significantly different at the 0.05 level?