Question

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

Answer #1

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.
12.3
11.6
11.9
12.1
12.5
11.4
12.0
11.7
11.8
12.3
(Round the intermediate values to 4 decimal places.
Round your answers to 2 decimal places.)
90% confidence interval:_____________ ≤ μ ≤
_____________
95% confidence interval: ____________ ≤ μ ≤
_____________l
99% confidence interval: ____________ ≤ μ ≤
_____________
The point estimate is_________.

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 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. 13.1 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...

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...

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. 11.8 11.6 11.9 11.9
12.5 11.4 12.0 11.7 11.8 11.8

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.
12.1
11.6
11.9
12.9
12.5
11.4
12.0
11.7
11.8
12.1

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. 11.9 11.6 11.9 12.4
12.5 11.4 12.0 11.7 11.8 11.9?

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?

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