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 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 the population mean for sample B.

c. Explain why these two samples produce different confidence intervals even though they have the same mean and range.

Answer #1

Answer:-

From the above information

c.

Here we observed that range and mean of both samples are same but standard deviation of both the samples are different that is why these two samples produce different confidence interval because standard deviation measures spread of the data and here spread of both samples are different.Mean and sometimes range does not affect the spread of the data.

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 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...

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.
(a) 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 population
mean.
(b) In a random sample of 20 people, the mean tip...

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...

Construct a 95% confidence interval for the population standard
deviation σ of a random sample of 15 men who have a mean weight of
165.2 pounds with a standard deviation of 12.6 pounds. Assume the
population is normally distributed.

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

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 12 minutes ago

asked 16 minutes ago

asked 31 minutes ago

asked 33 minutes ago

asked 35 minutes ago

asked 39 minutes ago

asked 42 minutes ago

asked 53 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago