Question
In: Statistics and Probability
We are given that n=15, the sample mean Ῡ=2.5, the sample standard deviation s=1.5 and random...
We are given that n=15, the sample mean Ῡ=2.5, the sample standard deviation s=1.5 and random variable Y distributed Normal with mean µ and variance σ2, where both µ and σ2 are unknown and we are being concentrated on testing the following set of hypothesis about the mean parameter of the population of interest.
We are to test:
H0 : µ ≥ 3.0 versus H1 : µ < 3.0.
Compute the following:
a) P- value of the test
b) Probability of making Type II error and the power of this test at µ= 2.0
Solutions
orchestra answered 1 year agoRelated Solutions
We are given that n=15, the sample mean Ῡ=2.5, the sample standard deviation s=1.5 and random...
We are given that n=15, the sample mean Ῡ=2.5, the sample
standard deviation s=1.5 and random variable Y distributed Normal
with mean µ and variance σ2, where both µ and σ2 are unknown and we
are being concentrated on testing the following set of hypothesis
about the mean parameter of the population of interest. We are to
test: H0 : µ ≥ 3.0 versus H1 : µ < 3.0. Compute the
following:
a) P- value of the test
b) Probability...
The mean and standard deviation of a random sample of n measurements are equal to 33.2...
The mean and standard deviation of a random sample of n
measurements are equal to 33.2 and 3.6?, respectively.
a. Find a 90?% confidence interval for mu if nequals81.
b. Find a 90?% confidence interval for mu if nequals324.
c. Find the widths of the confidence intervals found in parts a
and b. What is the effect on the width of a confidence interval of
quadrupling the sample size while holding the confidence
coefficient? fixed?
The mean and standard deviation of a random sample of n measurements are equal to 33.6...
The mean and standard deviation of a random sample of n
measurements are equal to 33.6 and 3.5, respectively.
A) The 99% confidence interval for
π if n = 49 is approximately ( ___ , ___ )
B) The 99% confidence interval
π if n = 196 is approximately ( ___ , ___ )
The mean and standard deviation of a random sample of n measurements are equal to 33.5...
The mean and standard deviation of a random sample of n
measurements are equal to 33.5 and 3.5, respectively.
a. Find a 90% confidence interval for m if n = 144.
b. Find a 90% confidence interval for m if n = 576.
c. Find the widths of the confidence intervals found in parts a
and b.
What is the effect on the width of a confidence interval of
quadrupling the sample size while holding the confidence
coefficient fixed?
A random sample of n=100 observations produced a mean of x̅=33 with a standard deviation of s=5.
A random sample of n=100 observations produced a mean of x̅=33 with a standard deviation of s=5.
(a) Find a 95% confidence interval for μ Lower-bound: Upper-bound:
(b) Find a 99% confidence interval for μ Lower-bound: Upper-bound:
A random sample of n=100 observations produced a mean of x̅=28 with a standard deviation of s=6.
Note: Each bound should be rounded to three decimal places.
A random sample of n=100 observations produced a mean of x̅=28 with a standard deviation of s=6.
(a) Find a 90% confidence interval for ?Lower-bound: Upper-bound:
(b) Find a 99% confidence interval for ?Lower-bound: Upper-bound:
(c) Find a 95% confidence interval for ?Lower-bound: Upper-bound:
A random sample of n=100 observations produced a mean of x̅=25 with a standard deviation of s=4.
A random sample of n=100 observations produced a mean of x̅=25 with a standard deviation of s=4.
(a) Find a 90% confidence interval for μ, z for 90 percentile : 1.28
(b) Find a 95% confidence interval for μ, z for 95 percentile : 1.75
(c) Find a 99% confidence interval for μ, z for 99 percentile : 2.33
A population has mean μ = 16 and standard deviation σ = 1.5. A random sample...
A population has mean μ = 16 and standard deviation σ = 1.5. A
random sample of size n = 49 is selected. What is the probability
that the sample mean is greater than 16.8?
I got 3.73 for z-value.
Please help
From a random sample from normal population, we observed sample mean=84.5 and sample standard deviation=11.2, n...
From a random sample from normal population, we observed sample
mean=84.5 and sample standard deviation=11.2, n = 16, H0: μ = 80,
Ha: μ < 80. State your conclusion about H0 at
significance level 0.01.
choices:
A. Test statistic: t = 1.61. P-value = 0.9356. Reject the null
hypothesis. There is sufficient evidence to conclude that the mean
is less than 80. The evidence against the null hypothesis is very
strong.
B. Test statistic: t = 1.61. P-value = 0.0644. Do...
4 We draw a random sample of size 40 from a population with standard deviation 2.5....
4
We draw a random sample of size 40 from a population with standard
deviation 2.5.
Show work in excel with formulas
a
If the
sample mean is 27, what is a 95% confidence interval for the
population mean?
b
If the
sample mean is 27, what is a 99% confidence interval for the
population mean?
c
If the
sample mean is 27, what is a 90% confidence interval for the
population mean?
d
If the
sample mean is 27...
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