3. A simple random sample of 36 employees in large manufacturing company yields an average length of service of 8 years with a standard deviation of 5 years. a. Determine a 95% confidence interval for . b. Determine a 99% confidence interval for μ.
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- In a random sample of 24 people, the mean commute time to work was 33.1 minutes and the standard deviation was 7.3 minutes. Assume the population is normally distributed and use a t-distribution to construct a 90% confidence interval for the population mean µ. What is the margin of error of u? Interpret the results. The confidence interval for the population mean u is ( D (Round to one decimal place as needed.) The margin of error of u is (Round to one decimal place as needed.) Interpret the results. O A. If a large sample of people are taken approximately 90% of them will have commute times between the bounds of the confidence interval. O B. With 90% confidence, it can be said that the population mean commute time is between the bounds of the confidence interval. O C. It can be said that 90% of people have a commute time between the bounds of the confidence interval. O D. With 90% confidence, it can be said that the commute time is between the bounds of the confidence interval.A sample of 80 University night school students' ages was obtained in order to estimate the mean age of all night school students. The sample mean was 25.1 years, with a sample variance of 16.2. a. Give the point estimate for µ, the population mean, along with the margin of error. b. Calculate the 99% confidence interval for µ.In a random sample of 27 people, the mean commute time to work was 31.3 minutes and the standard deviation was 7.3 minutes. Assume the population is normally distributed and use a t-distribution to construct a 90% confidence interval for the population mean u. What is the margin of error of µ? Interpret the results. The confidence interval for the population mean is (OD. (Round to one decimal place as needed.) The margin of error of u is (Round to one decimal place as needed.) Interpret the results. O A. It can be said that 90% of people have a commute time between the bounds of the confidence interval. B. With 90% confidence, it can be said that the population mean commute time is between the bounds of the confidence interval. C. With 90% confidence, it can be said that the commute time is between the bounds of the confidence interval. D. If a large sample of people are taken approximately 90% of them will have commute times between the bounds of the confidence interval.
- In a random sample of 24 people, the mean commute time to work was 34.7 minutes and the standard deviation was 7.2 minutes. Assume the population is normally distributed and use a t-distribution to construct a 99% confidence interval for the population mean u. What is the margin of error of u? Interpret the results. The confidence interval for the population mean µ is ( D (Round to one decimal place as needed.) The margin of error of u is. (Round to one decimal place as needed.) Interpret the results. O A. With 99% confidence, it can be said that the population mean commute time is between the bounds of the confidence interval. O B. It can be said that 99% of people have a commute time between the bounds of the confidence interval. OC. With 99% confidence, it can be said that the commute time is between the bounds of the confidence interval. O D. If a large sample of people are taken approximately 99% of them will have commute times between the bounds of the confidence interval.Assume that a sample is used to estimate a population mean μμ. Find the 80% confidence interval for a sample of size 55 with a mean of 85.5 and a standard deviation of 21.5. Enter your answer as an open-interval (i.e., parentheses) accurate to 3 decimal places.a. 80% C.I. = The answer should be obtained without any preliminary roundingThe manager at a large fitness centre keeps track of amount of time it takes a sample of 65 clients to run a mile she finds the mean time to run a mile in this sample is 10.4 minutes with standard deviation of 2.1 minutes. Assume that the sample is random sample that is normally distributed. a. Construct a 68, 95, 99 confidence interval for the parameter of interest in this problem.
- A simple random sample with n = 52 provided a sample mean of 24.0 and a sample standard deviation of 4.6. a. Develop a 90% confidence interval for the population mean (to 1 decimal). b. Develop a 95% confidence interval for the population mean (to 1 decimal). c. Develop a 99% confidence interval for the population mean (to 1 decimal). d. What happens to the margin of error and the confidence interval as the confidence level is increased? V - Select your answer - They increase They decrease They stay the same It cannot be determined from the given data The margin of error increases and the confidence interval becomes narrower The margin of error decreases and the confidence interval becomes widerSuppose that the waiting times for patients at a local hospital are normally distributed with known population standard deviation of 30 minutes. A random sample of 75 patients in the local hospital had a mean time of 90 minutes. Assume a 95% confidence interval for the population mean p. The formula used to calculate the standard error is O a. 0/n2 O b. o? /n O c. o/n O d. o/nIn a random sample of 29 people, the mean commute time to work was 31.5 minutes and the standard deviation was 7.3 minutes. Assume the population is normally distributed and use a t-distribution to construct a 90% confidence interval for the population mean μ. What is the margin of error of μ? Interpret the results. The confidence interval for the population mean μ is ,. (Round to one decimal place as needed.)
- A simple random sample with n= 52 provided a sample mean of 23.0 and a sample standard deviation of 4.3. a. Develop a 90% confidence interval for the population mean (to 1 decimal). b. Develop a 95% confidence interval for the population mean (to 1 decimal). c. Develop a 99% confidence interval for the population mean (to 1 decimal). d. What happens to the margin of error and the confidence interval as the confidence level is increased? - Select your answer -Assume that a sample is used to estimate a population mean μμ. Find the 80% confidence interval for a sample of size 46 with a mean of 15.6 and a standard deviation of 10.2. Enter your answer as an open-interval (i.e., parentheses) accurate to 3 decimal places.80% C.I. = The answer should be obtained without any preliminary rounding.In a random sample of 27 people, the mean commute time to work was 33.5 minutes and the standard deviation was 7.1 minutes. Assume the population is normally distributed and use a t-distribution to construct a 98% confidence interval for the population mean μ. What is the margin of error of μ? Interpret the results. The confidence interval for the population mean μ is ,. (Round to one decimal place as needed.) The margin of error of μ is nothing. (Round to one decimal place as needed.) Interpret the results. A. With 98% confidence, it can be said that the commute time is between the bounds of the confidence interval. B. If a large sample of people are taken approximately 98% of them will have commute times between the bounds of the confidence interval. C. With 98% confidence, it can be said that the population mean commute time is between the bounds of the confidence interval. D. It can be said that 98% of people have a commute…