Question

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!

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 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...

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 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 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% 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
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...

#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)

A random sample has been taken from a population. A
statistician, using this sample, needs to decide whether to
construct a 92% confidence interval for the population mean or a
98% confidence interval for the population mean. How will these
intervals differ?
The wider interval is dependent on a larger sample size.
The wider interval is dependent on whether the sample is
unbiased.
The wider interval is dependent on whether a z statistic or a t
statistic is used.
The...

Construct the indicated confidence interval for the population
mean of each data set. If it is possible to construct a confidence
interval, justify the distribution you used. If it is not
possible, explain why.
***Please provide formulas used, step by step
process, and hand write....thank you so much!
In a random sample of 40 patients, the mean waiting time at a
dentist’s office was 20 minutes and the standard deviation was 7.5
minutes. Construct a 95% confidence interval for the...

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