Question
In: Statistics and Probability
Assuming that the population is normally distributed, construct a 99% 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 1 4 4 5 5 8 8
SAMPLE B: 1 2 3 4 5 6 7 8
1.Construct a 99% confidence interval for the population mean for sample A. ( type integers or decimals rounded to two decimal places)
2. Construct a 99% confidence interval for the population mean for sample B. ( type integers or decimals rounded to two decimal places)
3. Explain why these two samples produce different confidence intervals even though they have the same mean and range.
a. The samples produce different confidence intervals because their standard deviations are different
b.The samples produce different confidence intervals because their sample sizes are different
c.The samples produce different confidence intervals because their critical values are different
d. The samples produce different confidence intervals because their medians are different
Solutions
orchestra answered 1 year agoRelated Solutions
Assuming that the population is normally distributed, construct a 99% confidence interval for the population mean,...
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 99% confidence interval for the population mean,...
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 99% 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 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 9090% confidence interval for the population mean...
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...
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,...
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 95% confidence interval for the population mean...
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 95% confidence interval for the population mean,...
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...
Assuming that the population is normally distributed, construct a 95% confidence interval for the population mean,...
Assuming that the population is normally distributed, construct
a 95% confidence interval for the population mean, based on the
following sample size of n=6.
1, 2, 3, 4, 5,and 15
In the given data, replace the value 15 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 95% confidence interval for the population mean, using
the formula or technology.
Assuming the population is normally distributed, construct a 95% confidence interval for the population mean, based...
Assuming the population is normally distributed, construct a 95%
confidence interval for the population mean, based on the following
sample of size n = 7:
1 2 3 4 5 6 7
The mean is 4 and Standard Deviation 2.16
1. What is the lower boundary of the interval to two decimal
places?
2. What is upper boundary of the interval to two decimal.
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