Question
In: Math
3. What is the width of 68% confidence interval in terms of standard deviation (How many...
3. What is the width of 68% confidence interval in terms of
standard deviation (How many standard deviation is equivalent to
the width of 68% confidence interval)?
What about 95% and 99.7%?
Solutions
Expert Solution
3.The width of 68% confidence interval in terms of standard deviation is 1.
Empirical rule shows that
1.68% falls within the first standard deviation (µ ± σ),
2.95% within the first two standard deviations (µ ± 2σ)
3.99.7% within the first three standard deviations (µ ± 3σ).
68% confidence interval = (
- 
) 
X
( + )
= ( + ) -
(
- ) = 2
95% confidence interval = ( - 2)
X ( +2
)
= ( +2 )
- ( -2 ) =
4
99.7% confidence interval = ( - 3)
X ( +3
)
= ( +3 )
- ( -3 ) =
6
milcah answered 1 year agoRelated Solutions
3. What is the width of 68% confidence interval in terms of standard deviation (How many...
3. What is the width of 68% confidence interval in terms of
standard deviation (How many standard deviation is equivalent to
the width of 68% confidence interval)?
What about 95% and 99.7%?
The width of a confidence interval will be: A) Wider when the sample standard deviation is...
The width of a confidence interval will be:
A) Wider when the sample standard deviation is small than when s
is large
B) Narrower for 95% confidence than 99% confidence
C) Narrower for 95% confidence than 90% confidence
C) Wider for a sample size of 100 for a sample size of 50
As the sample size INCREASES for computing a confidence interval, the width of the confidence interval...
As the sample size INCREASES for computing a confidence
interval, the width of the confidence interval DECREASES.
12
When the population standard deviation sigma is assumed known, a
confidence interval can assume NORMALITY of the SAMPLE MEAN if the
sample size is greater than 30.
12
A SYMMETRIC histogram implies the plotted variable is NORMALLY
distributed.
12
The goal when using confidence intervals is to have WIDE
INTERVALS to be assured that the interval contains the population
parameter.
12
A...
Exercise 3. Construct a 90% confidence interval for the population standard deviation σ of a random...
Exercise 3. Construct a 90% confidence interval for the
population standard deviation σ of a random sample of 30 men who
have a mean weight of 173.5 pounds with a standard deviation of
12.2 pounds. Assume the population is normally distributed.
Find the 90% confidence interval for the standard deviation of the lengths of pipes if a...
Find the 90% confidence interval for the standard deviation of
the lengths of pipes if a sample of 22 pipes has a standard
deviation of 10.6 inches.
a. (8.3, 13.8)
b. (8.5, 13.3)
c. (8.5, 14.3 )
d. (8.1, 15.3)
How do you find a 99% Confidence Interval when given the average and the standard deviation?...
How do you find a 99% Confidence Interval when given the average
and the standard deviation? STD=8.54 AVG=66.43
Construct a 99% confidence interval on the population variance and the population standard deviation for the...
Construct a 99% confidence interval on the population variance
and the population standard deviation for the data listed
below:
91.8, 112.1, 138.3, 90.6, 136.6, 113.6, 101.5, 123.6, 81.4,
119.2, 111.4, 89.4, 110.5, 80.5, 94.8, 117.0, 105.7, 146.6, 138.6,
99.9, 106.6
Find the 80% confidence interval for the standard deviation of the ages of seniors at Oak...
Find the 80% confidence interval for the standard deviation of
the ages of seniors at Oak Park College if a random sample of 21
students has a standard deviation of 2.3 years. Assume the variable
is normally distributed.
a.) (1.9,2.9)
b.) (2.6, 3.3)
c.) (3.7,8.5)
d.) (2.6, 7.0)
Find the 80% confidence interval for the standard deviation of the ages of seniors at Oak...
Find the 80% confidence interval for the standard deviation of
the ages of seniors at Oak Park College if a random sample of 21
students has a standard deviation of 2.3 years. Assume the variable
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We wish to develop a confidence interval for the population mean. The population standard deviation is...
We wish to develop a confidence interval for the population
mean. The population standard deviation is known. We have a sample
of 40 observations. We decide to use the 92 percent level of
confidence. The appropriate value of z is:
a)1.96
b)1.65
c)2.58
d)1.75
2. A random sample of 90 days at a coffee
shop produces a mean daily sales of $1200. The standard deviation
of the population of daily sales is $210. What is the 99%
confidence interval for the...
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