16 Let X, X2, ..., X, be a random sample from a continuous, symmetric probability distribuin with unknown, finite population mean 0. An unbiased and efficient point estimate of 8 8 = 10. If an exact one-sided 99% confidence interval for 0 is 0< 14 give an exact two-sided 98% confidence interval for 0.
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- A random sample of size 30 from a normal population yields x̅ = 69 and s = 4. The lower bound of a 95 percent confidence interval is (Round off upto 2 decimal places).Suppose the retirement age in the U.S. is normally distributed with an unknown population mean and standard deviation. A random sample of 22 retirees is taken and results in a sample mean of 59 years old and sample standard deviation of 5 years.The margin of error for a 95% confidence interval estimate for the population mean using the Student's t-distribution is 2.22. Find a 95% confidence interval estimate for the population mean using the Student's t-distribution. Round the final answers to two decimal placesA simple random sample of size n=24 is drawn from a population that is normal distributed. The sample mean is found to be x bar= 66 and the sample standard deviation is found to be s= 16.construct a 98% confidence interval about the population mean. (Round to two decimals)
- Suppose x has a mound – shaped distribution with s = 9. A random sample of size 36 has sample mean 20. (a) Find the margin of error for 95% confidence interval form. (b) Find a 95% confidence interval for m.A random sample of n₁ = 217 people who live in a city were selected and 106 identified as a "dog person." A random sample of n₂ = 114 people who live in a rural area were selected and 66 identified as a "dog person." Find the 90% confidence interval for the difference in the proportion of people that live in a city who identify as a "dog person" and the proportion of people that live in a rural area who identify as a "dog person." Round answers to to 4 decimal places. < P1 P2 <A simple random sample of n=18 is drawn from a population that is normally distributed with �=19 . The sample mean is found to be �¯=64 . Construct a 80% confidence interval for the population mean. Confidence interval: (,)
- A random sample of n₁ = 269 people who live in a city were selected and 88 identified as a "dog person." A random sample of n2 = 90 people who live in a rural area were selected and 70 identified as a "dog person." Find the 99% confidence interval for the difference in the proportion of people that live in a city who identify as a "dog person" and the proportion of people that live in a rural area who identify as a "dog person." Round answers to to 4 decimal places. < P1 P2 <A simple random sample of size 23 has mean x̄ = 1.48 and standard deviation s = 1.32. The population is approximately normally distributed. Construct a 99% confidence interval for the population meanSuppose that x = 11 observations possess the characteristic of interest from n = - 32 observations. Let p be the population proportion possessing the characteristic. (a) Compute a two-sided 99% confidence interval for p. (b) Compute a two-sided 95% confidence interval for p.
- A random sample of size 30 from a normal population yields = 39 and s = 4.9. The lower bound of a 95 percent confidence interval is (Round off upto 2 decimal places).A random sample was selected from a population having a normal distribution. Calculate a 90% confidence interval estimate for for each of the following situations: (a). = 134, n = 10, s = 3.1 (b). = 3,744, n = 120, s = 8.2 (c). = 40.5, n = 9, = 2.9A random sample of 100 students is taken from a larger population of students in a multi-lecture course and the sample mean (average) of their final grades is found to be 62.25. Suppose that the population standard deviation is known to be 3. Which of the following is correct? A 90% Z confidence interval for the true population mean that is calculated from this sample data of 100 students will be wider than a 95% Z confidence interval for the true population mean that is calculated from this sample data of 100 students. b. A 95% Z confidence interval for the true population mean that is calculated from this sample data of 100 students will be narrower than a 90% Z confidence interval for the true population mean that is calculated from this sample data of 100 students. c. A 90% Z confidence interval for the true population mean that is calculated from this sample data of 100 students would be narrower than a 90% Z confidence interval for the true population mean that is…