Question

Construct a 90% and 95%confidence interval

x=3956

n=14124

Find the width of both intervals

Answer #1

A random sample of size n=25 from N(μ, σ2=6.25)
yielded x=60. Construct the following confidence intervals for μ.
Round all your answers to 2 decimal places.
a. 95% confidence interval:
95% confidence interval = 60 ± ?
b. 90% confidence interval:
90% confidence interval = 60 ± ?
c. 80% confidence interval:
80% confidence interval = 60 ± ?

construct a 90% confidence interval
x=2544
n=3814

Construct a 95% confidence interval for the population
mean,Assume the population has a normal distribution, A random
sample of 16 fluorescent light bulbs has a mean life of 645 hours
with a standard devastion of 31 hours.
From the above question calculate the 99% confidence interval
for n = 16.
then, Letting n= 100, calculate the 95% and 99% confidence
intervals
(a) What happend to the interval width from 95% to 99%
(b) what happend to the interval width from...

Calculate the 99%, 95%, and 90% confidence intervals for the
following information. Identify how these confidence intervals are
similar and how they are different. Explain why. (70
points)
µ = 89 σ = 9 n = 121
The 99% Confidence Interval:
The 95% Confidence Interval:
The 90% Confidence Interval:
Similarities:
Differences:
Why?

Construct 90%, 95%, and 99% confidence intervals to estimate μ
from the following data. State the point estimate. Assume the data
come from a normally distributed population. 13.3 11.6 11.9 12.2
12.5 11.4 12.0 11.7 11.8 13.3
(Round the intermediate values to 4 decimal places. Round your
answers to 2 decimal places.)
90% confidence interval: enter the lower limit of the 90%
confidence interval ≤ μ ≤ enter the upper limit
of the 90% confidence interval
95% confidence interval: enter the...

Construct 90%, 95%, and 99% confidence intervals to estimate μ
from the following data. State the point estimate. Assume the data
come from a normally distributed population. 13.7 11.6 11.9 13.0
12.5 11.4 12.0 11.7 11.8 13.7 Appendix A Statistical Tables (Round
the intermediate values to 4 decimal places. Round your answers to
2 decimal places.) 90% confidence interval: enter the lower limit
of the 90% confidence interval ≤ μ ≤ enter the upper limit of the
90% confidence interval...

Use the following information to construct the confidence
intervals specified to estimate μ.
a. 95% confidence for x¯ = 20, σ = 2.5,
and n = 60
b. 98% confidence for x¯ = 124.6, σ =
19.89, and n = 78
c. 90% confidence for x¯ = 2.419, σ =
0.868, and n = 34
d. 80% confidence for x¯ = 54.7, σ = 8.1,
N = 500, and n = 48

Construct 90%, 95%, and 99% confidence intervals to estimate μ
from the following data. State the point estimate. Assume the data
come from a normally distributed population. 13.1 11.6 11.9 12.0
12.5 11.4 12.0 11.7 11.8 13.1 Appendix A Statistical Tables (Round
the intermediate values to 4 decimal places. Round your answers to
2 decimal places.) 90% confidence interval: enter the lower limit
of the 90% confidence interval ≤ μ ≤ enter the upper limit of the
90% confidence interval...

Construct 90%, 95%, and 99% confidence intervals to estimate μ
from the following data. State the point estimate. Assume the data
come from a normally distributed population. 12.0 11.6 11.9 12.9
12.5 11.4 12.0 11.7 11.8 12.0 Appendix A Statistical Tables (Round
the intermediate values to 4 decimal places. Round your answers to
2 decimal places.) 90% confidence interval: enter the lower limit
of the 90% confidence interval ≤ μ ≤ enter the upper limit of the
90% confidence interval...

If n = 370 and X = 296, construct a 95% confidence interval for
the population proportion, p.
Give your answers to three decimals
_ < p < _

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