In: Statistics and Probability

In order to construct a confidence interval for a population mean, it must be the case that the data comes from a population that is normally distributed, or the sample size is large.

Group of answer choices

True

False

1. In order to construct a confidence interval for a population
mean or proportion, we must have that the sample size is small
relative to the population and the sample data must have come from
a simple random sample or a randomized experiment. Explain why
these conditions are necessary.
2. In order to construct a confidence interval for a population
proportion, we must additionally have np(1-p) at least 10. For a
population mean, we must additionally have that the population...

Construct a confidence interval for ?? the mean of the
differences d for the population of paired data. Assume that the
population of paired differences is normally distributed. The table
shows the weights of 9 subjects before and after following a
particular diet for two months. Construct a 99% confidence interval
for the mean difference of the “before” minus “after” weights.
Round to one decimal place.
Subject
A
B
C
D
E
F
G
H
I
Before
168
180
157...

Assuming that the population is normally distributed, construct
a 99% confidence interval for the population mean, based on the
following sample size of n=7.
1, 2, 3,4, 5, 6,and 30
Change the number 30 to 7 and recalculate the confidence
interval. Using these results, describe the effect of an outlier
(that is, an extreme value) on the confidence interval.
Find a 99 % confidence interval for the population mean.
(Round to two decimal places as needed.)
Change the number 30...

Assuming that the population is normally distributed, construct
a
9090%
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:
11
22
33
33
66
66
77
88
Full
data set
Sample B:
11
22
33
44
55
66
77
88
Construct a
9090%
confidence interval for the population mean for sample A.
nothing less than or equals≤muμless...

Assuming that the population is normally distributed, construct
a 90% 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
1
4
4
5
5
8
8
Sample B:
1
2
3
4
5
6
7
8
a. Construct a 90% confidence interval for the population mean
for sample A
b. Construct a 90% confidence interval...

Assuming that the population is normally distributed, construct
a 90% confidence interval for the population mean, based on the
following sample size of n=7.
1, 2, 3, 4, 5 6, and 24
Change the number 24 to 7 and recalculate the confidence
interval. Using these results, describe the effect of an outlier
(that is, an extreme value) on the confidence interval.

assuming that the population is normally distributed, construct a
99% confidence interval for the population mean, based on the
following sample size n=6. 1,2,3,4,5 and 29.
in the given data, replace the value 29 with 6 and racalculate
the confidence interval. using these results, describe the effect
of an outlier on the condidence interval, in general
find a 99% confidence interval for the population mean, using
the formula.

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 1 2 4 5 7 8 8
Sample B 1 2 3 4 5 6 7 8

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 4 4 4 5 5 5 8
Sample B: 1 2 3 4 5 6 7 8
Construct a 99% confidence interval for the population mean for
sample A.
less than or equalsmuless than or equals Type...

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 7. 1, 2, 3,
4, 5, 6, 7, and 23
In the given data, replace the value
23
with
7
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...

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