Question

construct a Confidence interval for the population mean using the information below. Confidence level: 90%, sample size : 139, standard deviation : 17.54, mean : 106.41.

Answer #1

Solution :

Given that,

t /2,df = 1.656

Margin of error = E = t/2,df * (s /n)

= 1.656 * (17.54 / 139)

Margin of error = E = 2.46

The 90% confidence interval estimate of the population mean is,

- E < < + E

106.41 - 2.46 < < 106.41 + 2.46

103.95 < < 108.87

**(103.95 , 108.87)**

) Using the sample paired data below, construct a 90%
confidence interval for the population mean of all differences x -
y.
X= 5.0, 5.1, 4.6, 3.5, 6.0
Y=4.7, 3.9, 4.2, 4.2,3.7
90% confidence interval: _________________________
(rounded to three decimals)

1,) Construct a 90% confidence interval for the population
proportion if an obtained sample of size n = 150 has x = 30
2.) Construct a 95% confidence interval for the population mean
if an obtained sample of size n = 35 has a sample mean of 18.4 with
a sample standard deviation of 4.5.

Construct a 90% confidence interval to estimate the population
mean using the data below.
x? = 90
? = 10
n = 30
N = 300
The? 90% confidence interval for the population mean is?
(_,_).

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deviation. Use this information to construct the 90% and 95%
confidence intervals for the population mean. Interpret the results
and compare the widths of the confidence intervals. If convenient,
use technology to construct the confidence intervals.
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$147.00. Assume the population standard deviation is $19.40.
Construct a 90% confidence interval for the population mean.
The 90% confidence interval...

If you construct a 90% confidence interval for the population
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smaller for the 90%, but with everything else being the same, the
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become wider d. cannot tell without further information.

Construct a 90% confidence interval to estimate the population
mean using the accompanying data. What assumptions need to be made
to construct this interval?
x= 55 σ= 11 n=16
What assumptions need to be made to construct this
interval?
A. The sample size is less than 30.
B. The population must be normally distributed.
C. The population is skewed to one side.
D. The population mean will be in the confidence interval.

A sample mean, sample size, population standard deviation,
and confidence level are provided. Use this information to complete
parts (a) through (c) below.
x=32 n=22 0=3 confidence level= 90%

For the following data values below, construct a 90% confidence
interval if the sample mean is known to be 0.719 and the standard
deviation is 0.366. (Round to the nearest thousandth) 0.56, 0.75,
0.10, 0.95, 1.25, 0.54, 0.88

Mean
Sample standard deviation
Population standard deviation
Sample size
Confidence level
Confidence interval
100
20
na
25
95 %
100
20
na
25
90 %
100
40
na
25
90 %
100
40
n.a.
16
90 %
100
n.a.
40
16
90 %
How does the confidence level affect the width of the confidence
interval, other things equal?
How does the size of the standard deviation affect the width of
the confidence interval, other things equal?
How does sample size...

You are given the sample mean and the population standard
deviation. Use this information to construct the 90% and 95%
confidence intervals for the population mean. Interpret the results
and compare the widths of the confidence intervals. If convenient,
use technology to construct the confidence intervals. A random
sample of 45 home theater systems has a mean price of $140.00.
Assume the population standard deviation is $16.20. Construct a
90% confidence interval for the population mean. The 90% confidence
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