If Upper X overbar = 90, σ = 9, and n = 68, construct a 95%...

If Upper X overbar = 90, σ = 9, and n = 68, construct a 95% confidence interval estimate of the population mean, μ.

______ ≤ μ ≤ _____

(Round to two decimal places as needed.)

Solutions

Expert Solution

Solution :

Given that,

Point estimate = sample mean = = 90

Population standard deviation = = 9

Sample size = n =68

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z_/2 = Z_0.025 = 1.96

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

= 1.96 * (9 / $\sqrt$ 68 )

= 2.1392
At 95% confidence interval estimate of the population mean
is,

- E < < + E

90 - 2.1392 < < 90 + 2.1392

87.86 < < 92.14

orchestra answered 1 year ago

Next > < Previous

Related Solutions

If Upper X overbar=103 sigmaσ=8 and n=65 Construct a 95% confidence interval estimate of the population...

If Upper X overbar=103 sigmaσ=8 and n=65 Construct a 95% confidence interval estimate of the population mean u _______ is less than or equal to u ______ less than or equal to interval estimate should be rounded to two decimal points please construct a 9595% confidence interval estimate of the population mean, mu .μ. nothingless than or equals≤muμless than or equals≤nothing

Construct the confidence interval for the population mean μ. c=0.90, x overbar=15.3 ,σ=9.0and n=85 A 90%...

Construct the confidence interval for the population mean μ. c=0.90, x overbar=15.3 ,σ=9.0and n=85 A 90% confidence interval for μ is ___,___? Round to one decimal place as needed.)

If Upper X overbar equals71, sigma equals 14, and n equals 66, construct a 99% confidence...

If Upper X overbar equals71, sigma equals 14, and n equals 66, construct a 99% confidence interval estimate of the population mean, mu . _ < or equal mu < or equal _

A. If Upper X overbar =61, Upper S=27, and n=49, and assuming that the population is...

A. If Upper X overbar =61, Upper S=27, and n=49, and assuming that the population is normally distributed, construct a 90 % confidence interval estimate of the population mean, B. If n=200 and X=40, construct a 99% confidence interval estimate of the population proportion. C.If n=400 and X=140, construct a 99% confidence interval estimate of the population proportion.

If Upper X bar= 147, sigma=28, and n=33, construct a 95% confidence interval estimate of the...

If Upper X bar= 147, sigma=28, and n=33, construct a 95% confidence interval estimate of the population mean, u .

If X=119, σ=29, and n=33, construct a 95% confidence interval estimate of the population mean, ___<...

If X=119, σ=29, and n=33, construct a 95% confidence interval estimate of the population mean, ___< U <___

Construct a 95% confidence interval to estimate the population mean with x overbar equals 104 and...

Construct a 95% confidence interval to estimate the population mean with x overbar equals 104 and sigma equals 28 for the following sample sizes. a) n equals 30 b) n equals 48 c) n equals 66

If n = 300 and X = 90, construct a 90% confidence interval estimate of the...

If n = 300 and X = 90, construct a 90% confidence interval estimate of the population proportion. (answer) < pie < (answer) Note: the "< " listed above are suppos to be underlined.

Construct a 95% confidence interval to estimate the population mean with x=100 and σ=26 for the...

Construct a 95% confidence interval to estimate the population mean with x=100 and σ=26 for the following sample sizes. a) n equals= 35 b) n equals= 43 c) n equals= 60 With 95% confidence, when n=35, the population mean is between the lower limit of _ and the upper limit of _.

Construct a 95% confidence interval to estimate the population mean with x=118 and σ=25 for the...

Construct a 95% confidence interval to estimate the population mean with x=118 and σ=25 for the following sample sizes. a) n=38 b) n=41 c) n=69 a) With 95% confidence, when n= 38, the population mean is between the lower limit of and the upper limit of . (Round to two decimal places as needed.) b) With 95% confidence, when n= 41, the population mean is between the lower limit of and the upper limit of . (Round to two...

Subjects

Question

If Upper X overbar = 90​, σ = 9​, and n = 68​, construct a 95​%...

Solutions

Expert Solution

Related Solutions

If Upper X overbar = 90, σ = 9, and n = 68, construct a 95%...