Question

Assuming that the population is normally distributed, construct a 99 % confidence interval for the population mean, based on the following sample size of n equals 5. 1, 2, 3, 4, and 26 In the given data, replace the value 26 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 99 % confidence interval for the population mean, using the formula or technology.

Answer #1

By using the TI-84 calculator we can solve this question easily.

We have to construct 99% confidence interval for the population mean.

Data are 1,2,3,4,26

First, enter data into the Ti-84 calculator.

Click on STAT ------> Edit --------> Enter values in L1

Then Click on STAT --------> TESTS ------> TInterval --->Data ------->

List: L1

Freq: 1

C-Level: 0.99

Calculate

We get confidence interval **( - 14.56 ,
28.961)**

After replacing the value 26 with 5 we get data: 1,2,3,4,5

First, enter data into the Ti-84 calculator.

Click on STAT ------> Edit --------> Enter values in L1

Then Click on STAT --------> TESTS ------> TInterval --->Data ------->

List: L1

Freq: 1

C-Level: 0.99

Calculate

We get confidence interval **( - 0.2556 ,
6.2556)**

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
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a 95 % confidence interval for the population mean, based on the
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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
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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
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Assuming that the population is normally distributed, construct
a 95% confidence interval for the population mean, based on the
following sample size of n=8.
1, 2, 3, 4, 5, 6, 7 and 16
In the given data, replace the value 16 with 8 and recalculate
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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...

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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...

#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)

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...

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a. Construct a 95% confidence interval for the population mean
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a 95% confidence interval for the population mean for each of the
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Sample
A:
11
33
44
44
55
55
66
88
Full data set
Sample
B:
11
22
33
44
55
66
77
88
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____ ≤ μ ≤ _____

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