Question
In: Math
Explain the difference between a confidence interval and a prediction interval?
Explain the difference between a confidence interval and a prediction interval?
Solutions
milcah answered 2 months agoRelated Solutions
1. Explain the difference between the point estimate and interval estimate (confidence interval). 2. What is...
1. Explain the difference between the point estimate and
interval estimate (confidence interval).
2. What is margin of error?
3. Why must we use the point estimate pˆ (sample proportion) in
the calculation of the standard error when producing a confidence
interval for p (population proportion)?
4. Assamplesizeincreases,whatistheeffectonthemarginoferror?
Why?
5. Asconfidencelevelincreases,whatistheeffectonthemarginof
error? Why?
6.
Whatdetermineswhethertouseat-distributionoranormaldistribution for
finding a confidence interval for μ ?
7. What is the condition to use Chi-squared distribution when
estimating the population standard deviation?
8. Describe...
Using an illustrative example, explain the difference between: i) a 95% confidence interval for a population...
Using an illustrative example, explain the difference
between:
i) a 95% confidence interval for a population mean and
ii) a 95% tolerance interval based on a single sample.
Construct the indicated confidence interval for the difference between the two population means.
Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Independent samples from two different populations yield the following data. The sample size is 478 for both samples. Find the \(85 \%\) confidence interval for \(\mu_{1}-\mu_{2}\).
\(\bar{x}_{1}=958, \bar{x}_{2}=157, s_{1}=77, s_{2}=88\)
A. \(800<\mu_{1}-\mu_{2}<802\)
B. \(791<\mu_{1}-\mu_{2}<811\)
C. \(793<\mu_{1}-\mu_{2}<809\)
D. \(781<\mu_{1}-\mu_{2}<821\)
In a short paragraph, distinguish between a Confidence Interval and the Level of Confidence. Explain what...
In a short paragraph, distinguish between a Confidence Interval
and the Level of Confidence. Explain what each represents and the
relationship between them. (3 points)
Identify the three components of a Confidence Interval. Explain
what each represents and the relationship between them. (3
points)
Describe a potential issue with public opinion polls that report
interval estimates, but not confidence intervals. Discuss this in a
short paragraph. (3 points)
TYPED ONLY PLEASE
For each of the following questions, determine which kind of prediction confidence interval is appropriate. a)....
For each of the following questions, determine which kind of
prediction confidence interval is appropriate.
a). Predict the humidity level in this
greenhouse tomorrow when we set the temperature level at 31 °C?
b). Predict how much do families
spend, on the average, on meals? Suppose the family income is
$50,000
c). Predict how many kilowatt-hours of
electricity will be consumed in September by commercial and
industrial users in the Twin Cities service area, given that the
index of business...
Use the two-proportions z-interval procedure to obtain the required confidence interval for the difference between two...
Use the two-proportions z-interval procedure to obtain
the required confidence interval for the difference between two
population proportions. Assume that independent simple random
samples have been selected from the two populations.
A survey of students at one college found that 57 of 96 randomly
selected freshmen and 85 of 118 randomly selected sophomores lived
off campus. Find a 98% confidence interval for the difference
between the proportions of freshmen and sophomores at this college
who live off campus.
-0.278 to...
Construct and interpret a 90% confidence interval estimate for the difference between the proportion of technology...
Construct and interpret a 90% confidence interval estimate for
the difference between the proportion of technology crowd-funding
projects and film and video crowd-funding projects that are
successful.
The researchers performing this study can be [enter
percentage] confident that the difference in the
population proportion of successful technology crowd-funding
projects and successful film and video crowd-funding projects
is
[contained in, less than lower bound, greater than upper
bound, equal to midpoint] the interval from
[ ] to [ ].
alpha = .1...
Describe a confidence interval for the difference in means between two population by stating 1. a...
Describe a confidence interval for the difference in means
between two population by stating 1. a pair of populations composed
of the same type of individuals and a quantitative variable on
those populations, 2. sizes and degrees of freedom of samples from
those populations, 3. the means of those samples, and 4. the
standard deviations of those samples. Then state 5. a confidence
level and find 6. find the interval. Finally, perform a test of
significance concerning the difference in...
Construct the indicated confidence interval for the difference between the two population means. Assume that the...
Construct the indicated confidence interval for the difference
between the two population means.
Assume that the two samples are independent simple random samples
selected from normally
distributed populations. Do not assume that the population standard
deviations are equal. A paint
manufacturer wished to compare the drying times of two different
types of paint. Independent
simple random samples of 11 cans of type A and 9 cans of type B
were selected and applied to
similar surfaces. The drying times, in...
Construct the indicated confidence interval for the difference between the two population means. Assume that the...
Construct the indicated confidence interval for the difference
between the two population means. Assume that the two samples are
independent simple random samples selected from normally
distributed populations. Also assume that the population standard
deviations are equal (sigma1 = sigma2), so that the standard error
of the difference between means is obtained by pooling the sample
variances. A paint manufacturer wanted to compare the drying times
of two different types of paint. Independent simple random samples
of 11 cans of...
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