Construct a 99% confidence interval estimate for the mean μ using the given sample information. (Give...

Construct a 99% confidence interval estimate for the mean μ using the given sample information. (Give your answers correct to two decimal places.)

n = 26, x = 17.8, and s = 3

_________to________

Solutions

Expert Solution

Solution :

Given that,

= 17.8

= 3

n = 26

At 99% confidence level the z is ,

= 1 - 99% = 1 - 0.99 = 0.01

/ 2 = 0.01 / 2 = 0.005

Z_/2 = Z_0.005 = 2.576

Margin of error = E = Z_/2* ( / $\sqrt$ n)

= 2.576 * (3 / $\sqrt$ 26)

= 1.52

At 99% confidence interval estimate of the population mean is,

- E < < + E

17.8 - 1.52 < < 17.8 + 1.52

16.28 < < 19.32

( 16.28 , 19.32 )

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Construct a 99% confidence interval to estimate the population mean using the data below. X (overbar)...

Construct a 99% confidence interval to estimate the population mean using the data below. X (overbar) = 22 s = 3.2 n = 13 What assumptions need to be made about this population? The 99% confidence interval for the population mean is from a lower limit of __ to an upper limit of __. (round to two decimal places as needed.)

Construct a 99% confidence interval to estimate the population mean using the data below. What assumptions...

Construct a 99% confidence interval to estimate the population mean using the data below. What assumptions need to be made about this population? x overbar =32 s=9.1 n=28

Construct a 99% confidence interval to estimate the population proportion with a sample proportion equal to...

Construct a 99% confidence interval to estimate the population proportion with a sample proportion equal to 0.90 and a sample size equal to 250. ------A 99% confidence interval estimates that the population proportion is between a lower limit of ___ and an upper limit of ___. ????????

Construct a 99% confidence interval to estimate the population proportion with a sample proportion equal to...

Construct a 99% confidence interval to estimate the population proportion with a sample proportion equal to 0.50 and a sample size equal to 200. LOADING... Click the icon to view a portion of the Cumulative Probabilities for the Standard Normal Distribution table. A 99% confidence interval estimates that the population proportion is between a lower limit of nothing and an upper limit of nothing. (Round to three decimal places as needed.)

Assume that a sample is used to estimate a population mean μ. Find the 99% confidence...

Assume that a sample is used to estimate a population mean μ. Find the 99% confidence interval for a sample of size 641 with a mean of 21.3 and a standard deviation of 19.7. Enter your answer as a tri-linear inequality accurate to 3 decimal places. ____ < μ < ____

Assume that a sample is used to estimate a population mean μ. Find the 99% confidence...

Assume that a sample is used to estimate a population mean μ. Find the 99% confidence interval for a sample of size 46 with a mean of 47.2 and a standard deviation of 16.3. Enter your answer as an open-interval (i.e., parentheses) accurate to 3 decimal places. 99% C.I. = The answer should be obtained without any preliminary rounding

Microsoft MiniTab Assignment Construct and interpret the 99 % confidence interval estimate of the population mean...

Microsoft MiniTab Assignment Construct and interpret the 99 % confidence interval estimate of the population mean “WaitTime” for all customers. Type in your explanation below the output from Minitab. Construct and interpret the 99% confidence interval estimate of the population proportion of male customers. Type in your explanation below the output from Minitab. Is the mean “Income” for all customers no more than $38,000? Perform the appropriate hypothesis test using alpha = 0.05. Type in your explanation below the output...

Determine the sample size n needed to construct a 99% confidence interval to estimate the population...

Determine the sample size n needed to construct a 99% confidence interval to estimate the population proportion when p over bar equals 0.62 and the margin of error equals 7%. n=?????

Determine the sample size n needed to construct a 99% confidence interval to estimate the population...

Determine the sample size n needed to construct a 99% confidence interval to estimate the population proportion when p overbar =0.68 and the margin of error equals 5%. n=_______ (Round up to the nearest integer.) ____________________________________________________________________________________________________________________________ Determine the sample size n needed to construct a 99% confidence interval to estimate the population mean for the following margins of error when σ=87. a) 25 b) 40 c) 50

construct a 99% confidence interval to estimate the population mean using the data below x=36 sigma=9...

construct a 99% confidence interval to estimate the population mean using the data below x=36 sigma=9 n=38

Subjects