Question

Assuming that the population is normally distributed, construct a 95% confidence interval for the population mean for each of the samples below. Explain why these two samples produce different confidence intervals even though they have the same mean and range.

Sample A: 1 3 3 4 5 6 6 8

Sample B: 1 2 3 4 5 6 7 8

Construct a 95% confidence interval for the population mean for sample A.

Construct a 95% confidence interval for the population mean for sample B.

Answer #1

Assuming that the population is normally distributed, construct
a 95% confidence interval for the population mean for each of the
samples below. Explain why these two samples produce different
confidence intervals even though they have the same mean and
range.
Sample A: 1 4 4 4 5 5 5 8
Sample B: 1 2 3 4 5 6 7 8
a. Construct a 95% confidence interval for the population mean
for sample A.
b. Construct a 95% confidence interval for...

Assuming that the population is normally distributed, construct
a 99% confidence interval for the population mean for each of the
samples below. Explain why these two samples produce different
confidence intervals even though they have the same mean and
range.
Sample A: 1,3,3,3,6,6,6,8
Sample B: 1,2,3,4,5,6,7,8
Q1. Construct a 99% confidence interval for the population mean
for sample A.
____ <_ u <_ _____
Q2.
Construct a 99% confidence interval for the population mean for
sample B.
____ <_ u...

Assuming that the population is normally distributed, construct
a 95% confidence interval for the population mean for each of the
samples below.
Sample
A:
11
33
44
44
55
55
66
88
Full data set
Sample
B:
11
22
33
44
55
66
77
88
Construct a 95% confidence interval for the population mean for
sample A.
____ ≤ μ ≤ _____

Assuming that the population is normally distributed, construct
a 95 % confidence interval for the population mean, based on the
following sample size of n equals 5.n=5.
1,2,3,4 and 17
In the given data, replace the value 17 with 5 and recalculate
the confidence interval. Using these results, describe the effect
of an outlier (that is, an extreme value) on the confidence
interval, in general.
Find a 95 % confidence interval for the population mean, using
the formula or technology.

Assuming that the population is normally distributed, construct
a 90 % confidence interval for the population mean, based on the
following sample size of n equals 6. 1, 2, 3, 4 comma 5, and 30
In the given data, replace the value 30 with 6 and recalculate the
confidence interval. Using these results, describe the effect of
an outlier (that is, an extreme value) on the confidence
interval, in general. Find a 90 % confidence interval for the
population mean,...

Assuming that the population is normally distributed, construct
a
99 %99%
confidence interval for the population mean, based on the
following sample size of n equals 5.n=5.1, 2, 3,
44,
and
2020
In the given data, replace the value
2020
with
55
and recalculate the confidence interval. Using these results,
describe the effect of an outlier (that is, an extreme value) on
the confidence interval, in general.
Find a
99 %99%
confidence interval for the population mean, using the formula...

A random sample is taken from the normally distributed data
.Find the 95% confidence interval for the population mean ? .
The sample values are : 3 5 2 4 6 3 7 8 3 9

If
X overbar =68,
S=6,
and
n=81,
and assuming that the population is normally distributed,
construct a
95%
confidence interval estimate of the population mean,
μ.

A statistician estimates the 92% confidence interval for the
mean of a normally distributed population as (162.75, 173.25) at
the end of a sampling experiment assuming a known population
standard deviation.
(a) (4 pts) Use the information given to construct the 97%
confidence interval for the population mean.
(b) (2 pts) Based on the confidence constructed, is there
evidence to conclude the population mean is larger than 161?
Will upvote! Thank you kindly!

#1. You are to construct a
99% confidence interval of a normally distributed population; the
population standard deviation is known to be 25. A random sample of
size 28 is taken; (i) the sample mean is found to 76 and (ii) the
sample standard deviation was found to be 30. Construct the
Confidence interval. Clearly name the standard distribution you
used (z, or t or F etc.) and show work. (10 points)

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