Q12. a) Suppose the given confidence interval estimates the true population mean as 3.5<μ<13.1 with a 95% level of confidence when σ is known.
(i) Find the point estimates for the unknown population mean.
(ii) Find the margin of error.
(iii) Give the interpretation of the confidence interval.
(iv) Name two ways of decreasing the width of the confidence interval.
b) State the assumptions necessary for linear regression model Y=A+Bx+ε
c) Let p^ be a sample proportion based on a random sample of size n from a binomial distribution with unknown pp, such that γp^>5 and γq>5.
Construct a (1−α)100% confidence interval for the unknown population proportion
p using p^≈N
(μp^=pp^≈N(μp^=p, σp^=PVn−−−√)
Q12. a) Suppose the given confidence interval estimates the true population mean as 3.5<μ<13.1 with a...
Q12. a) Suppose the given confidence interval estimates the true population mean as 3.5 < u < 13.1 with a 95% level of confidence when o is known. (1) Find the point estimates for the unknown population mean. (ii) Find the margin of error. (iii) Give the interpretation of the confidence interval. (iv) Name two ways of decreasing the width of the confidence interval. b) State the assumptions necessary for linear regression model Y = A + Bx + E...
Answers only is okay! Construct the indicated confidence interval for the population mean μ using the t-distribution. Assume the population is normally distributed. c=0.99, x=13.1, s=3.0, n= 6 Construct the indicated confidence interval for the population mean μ using the t-distribution. Assume the population is normally distributed. c=0.95, x=14.5, s=0.55, n= 15 Use the given confidence interval to find the margin of error and the sample mean. (12.7,19.9The sample mean is In a random sample of 18 people, the mean...
Construct the confidence interval for the population mean μ. Construct the confidence interval for the population mean μ 0.98, x: 5.9, σ: 0.6, and n: 44 A 98% confidence interval for μ is OD (Round to two decimal places as needed.)
6.1.23 construct the confidence interval for the population mean μ c = 0.98, x̅ = 15.7, σ = 4.0, and n=65 A 98% confidence interval for μ is OD (Round to one decimal place as needed.)6.1.27 Use the confidence interval to find the margin of error and the sample mean (1.58,2.06) The margin of error is (Round to two decimal places as needed.)
A) Construct the confidence interval for the population mean μ. c=0.98, (overbar) x=7.6, σ =0.7 and n=48 A 98% confidence interval for μ is ( , ) B) Construct the confidence interval for the population mean μ. c=0.90 (overbar) x=16.2, σ=2.02 and n=70 A 90% confidence interval for μ is ( , ) C) Use the confidence interval to find the margin of error and the sample mean. left parenthesis 0.144 comma 0.280 right parenthesis (0.144,0.280) The margin of error is...
10. Fill in the blank. In developing a 96% confidence interval estimate for some normal population mean μ, the population standard deviation σ was 10, The interval estimate was found to be 12.6 ±3.64. Had σ equaled 5, the interval estimate would be 12. Based on a sample of size n 21 drawn from a normal population, the sample mean and sample standard deviation are, respectively, 15.68 and 1.36. We use T-test to test Ho : μ 15 vs H1...
find z sc Construct the confidence interval for the population mean μ 0.95, x 5.2, σ 0.4, and n 58 A 95% confidence interval for μ is D (Round to two decimal places as needed)
Find a 90% confidence interval for a population mean μ for these values. (Round your answers to three decimal places.) (a) n = 105, x = 0.81, s2 = 0.089 (b) n = 90, x = 21.3, s2 = 3.53 (c) Interpret the intervals found in part (a) and part (b): A. There is a 10% chance that an individual sample proportion will fall within the interval. B. In repeated sampling, 90% of all intervals constructed in this manner will...
If a 90% confidence interval for the mean μ of a population is computed (using z) from a random sample of 25 subjects is found to be 42 ± 6.25. The population standard deviation σ is equal to:
Construct the confidence interval for the population mean μ c: 0.95, x-16.8, σ: 9.0, and n-100 A 95% confidence interval for μ is OD (Round to one decimal place as needed.) 6.1.27 Use the confidence interval to find the margin of error and the sample mean (1.58,2.06) The margin of error is (Round to two decimal places as needed) 6.1.31 Find the minimum sample size n needed to estimate μ for the given values of c, o, and E. cz...