Question

Assume a normal population with known variance σ2σ2, a random sample (n<n< 30) is selected. Let x¯,sx¯,s represent the sample mean and sample deviation.

(1)(2pts) write down the formula: 98% one-sided confidence interval with upper bound for the population mean.

(2)(6pts) show how to derive the confidence interval formula in 1

Answer #1

Assume a normal population with known variance σ2, a random
sample (n< 30) is selected. Let x¯,s represent the sample mean
and sample deviation.
(1)write down the formula: 98% one-sided confidence interval
with upper bound for the population mean.
(2) show how to derive the confidence interval formula in
(1).

A simple random sample of size n is drawn from a population that
is known to be normally distributed. The sample variance, s
squared, is determined to be 11.8. Complete parts (a) through
(c). (a) Construct a 90% confidence interval for sigma squared if
the sample size, n, is 20. The lower bound is nothing. (Round to
two decimal places as needed.) The upper bound is nothing. (Round
to two decimal places as needed.)
b) Construct a 90% confidence...

A simple random sample of size n is drawn from a population that
is known to be normally distributed. The sample variance, s
squared, is determined to be 13.4. Complete parts (a) through
(c). (a) Construct a 90% confidence interval for sigma squared if
the sample size, n, is 20. The lower bound is nothing. (Round to
two decimal places as needed.) The upper bound is nothing. (Round
to two decimal places as needed.) (b) Construct a 90% confidence
interval...

A simple random sample of size n is drawn from a population that
is known to be normally distributed. The sample variance,
s squareds2,
is determined to be
12.512.5.
Complete parts (a) through (c).
(a) Construct a 90% confidence interval for
sigma squaredσ2
if the sample size, n, is 20.The lower bound is
nothing.
(Round to two decimal places as needed.)The upper bound is
nothing.
(Round to two decimal places as needed.)(b) Construct a 90%
confidence interval for
sigma squaredσ2...

A random sample of n = 11 observations was selected from a
normal population. The sample mean and variance were x = 3.93 and
s2 = 0.3216. Find a 90% confidence interval for the population
variance σ2. (Round your answers to three decimal places.)

Given a sample size of n = 529. Let the variance of the
population be σ2 = 10.89. Let the mean of the sample be xbar = 15.
Construct a 95% confidence interval for µ, the mean of the
population, using this data and the central limit theorem.
Use Summary 5b, Table 1, Column 1
What is the standard deviation (σ) of the population?
What is the standard deviation of the mean xbar when the sample
size is n, i.e....

Let Y be a normal random variable with mean μ and variance
σ2 . Assume that μ is known but σ2
is unknown. Show that ((Y-μ)/σ)2 is a pivotal
quantity. Use this pivotal quantity to derive a 1-α
confidence interval for σ2. (The answer should be left in
terms of critical values for the appropriate distribution.)

A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean x bar is found to be
109,
and the sample standard deviation, s, is found to be 10.
a. Construct 95% confidence interval about miu, if the sample
size n is 28. Find lower and upper bound.
b. Construct 95% confidence interval about miu, if the sample
size n is 17. Find lower and upper bound.
c.Construct 80% confidence interval about...

A simple random sample of size 20 is drawn from a population
that is known to be normally distributed. The sample variance, s
squared, is determined to be 12.4. Construct a 90% confidence
interval for sigma squared. The lower bound is nothing. (Round to
two decimal places as needed.) The upper bound is nothing. (Round
to two decimal places as needed.)

A simple random sample of size n equals n=40 is drawn from a
population. The sample mean is found to be x=120.4 and the sample
standard deviation is found to be s equals s=12.5. Construct a 99%
confidence interval for the population mean.
a) The lower bound is __
b) The upper bound is ___
(Round to two decimal places as needed.)

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 29 minutes ago

asked 37 minutes ago

asked 38 minutes ago

asked 39 minutes ago

asked 49 minutes ago

asked 50 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago