(Topic: Confidence Interval Estimation for the Mean of a Normal Distribution: Population Variance Known) The number...

(Topic: Confidence Interval Estimation for the Mean of a Normal Distribution: Population Variance Known)

The number of bolts produced each hour from a particular machine is normally distributed with a standard deviation of 7.4. For a random sample of 15 hours, the average number of bolts produced was 587.3.

Find the upper and lower confidence limits of a 98% confidence interval for the population mean number of bolts produced per hour.

Find the answer by hand calculation.
Find the answer using Minitab.
Interpret the confidence interval verbally.

The number of television sets produced from an assembly line each day is known to have a standard deviation of 17.4 sets per day. The production line averaged 452.3 sets per day for 20 randomly selected days. Which of the following represents a 95% confidence interval for the population mean number of sets per hour?

You are interested in determining the amount of time (in minutes) you spend each day on the Internet. For seven days, these values are: 51, 24, 16, 88, 63, 28, and 59. Assume that the amount of time you spend on the Internet each day is normally distributed, and develop a 90% confidence interval for the population average amount of time.

Expert Solution

a)

b)

c) Interpretation : Out of 100 samples drawn, sample mean will be between (582.28, 592.32) for 95 samples.

d)

orchestra answered 2 years ago

A confidence interval for the population mean when the population follows the normal distribution and the population standard deviation is known is computed by? Provide examples.

Question 3 A confidence interval for the population mean when the population follows the normal distribution and the population standard deviation is known is computed by? Provide examples. Question 6 What are the factors that determine the sample size? How is sample size calculated for estimating the population mean? Provide examples

For normal population with known standard deviation, the x% confidence interval for the population mean µ...

For normal population with known standard deviation, the x% confidence interval for the population mean µ has a lower end point (z times the standard error) below the sample mean and a upper end point (z times the standard error) above the sample mean. That is, the x% CI is given as Sample mean ± z *standard error For 95% CI, the value for z is Answer 1Choose...2.581.6451.280.9751.96 For 80% CI, the value for z is Answer 2Choose...2.581.6451.280.9751.96 For 90%...

PROJECT 4 Estimation of the Population Mean of Soft Plaque Deposit (Confidence Interval of the Mean)....

PROJECT 4 Estimation of the Population Mean of Soft Plaque Deposit (Confidence Interval of the Mean). Estimation of the Population Proportion of Soft Plaque Deposit (Confidence Interval of the Proportion). This project uses the sample data of the experiment Atassi (A-1), shown here. Assume the variable, soft plaque deposit index, is approximately normally distributed. In a study of the oral home care practice and reasons for seeking dental care among individuals on renal dialysis, Atassi (A-1) studied 90 subjects on...

Determine the 95% confidence interval estimate for the population mean of a normal distribution given n=144,...

Determine the 95% confidence interval estimate for the population mean of a normal distribution given n=144, sigma=105, and x overbar=1,200. The 95% confidence interval for the population mean is from to . (Round to two decimal places as needed. Use ascending order.

Determine the 80% confidence interval estimate for the population mean of a normal distribution given n=100,...

Determine the 80% confidence interval estimate for the population mean of a normal distribution given n=100, σ=101, and x (with line over it)=1,200. a. The 80% confidence interval for the population mean is from _____ to _______. !!!!!!!!PLEASE SHOW ME HOW TO SOLVE THIS ON EXCEL OR A TI-84 CALCULATOR!!!!!

For a normal population with known variance (sigma)^2, what is the confidence level for the CI...

For a normal population with known variance (sigma)^2, what is the confidence level for the CI (mean)-2.14(sigma)/√n≤μ≤(mean)+2.14(sigma)/√n ?

Consider a normal population distribution with the value of o known. (a) What is the confidence...

Consider a normal population distribution with the value of \(\sigma\) known.(a) What is the confidence level for the interval \(\bar{x} \pm 2.88 \sigma / \sqrt{n} ?\) (Round your answer to one decimal place.)\(\%\)(b) What is the confidence level for the interval \(\bar{x} \pm 1.47 \sigma / \sqrt{n} ?\) (Round your answer to one decimal place.) \(\%\)(c) What value of \(z_{\alpha / 2}\) in the CI formula below results in a confidence level of \(99.7 \% ?\) (Round your answer to...

Q1. Assume a normal distribution with a known variance. Calculate the Lower Confidence Level (LCL) and...

Q1. Assume a normal distribution with a known variance. Calculate the Lower Confidence Level (LCL) and Upper Confidence Level (UCL) for each of the following: a. X-Bar = 50; n = 64; σ = 40; α = 0.05 LCL ==> UCL ==> b. X-Bar = 85; n = 225; σ2 = 400; α = 0.01 LCL ==> UCL ==> c. X-Bar = 510; n = 485; σ = 50; α = 0.10 LCL ==> UCL ==>

construct the indicated confidence interval for the population mean using the t distribution. Assume the population...

construct the indicated confidence interval for the population mean using the t distribution. Assume the population js normally distributed. c=0.99, x=12.1,s=0.76,n=17

A population parameter has a normal distribution and has a mean of 45 and variance of...

A population parameter has a normal distribution and has a mean of 45 and variance of 15. From this population a sample is selected with a size of 19 and the variance of the sample is 17. Does this sample support the population variance? Evaluate.

Question