Question

It is desired to test H0: μ = 50 against HA: μ ≠ 50 using α = 0.10. The population in question is uniformly distributed with a standard deviation of 15. A random sample of 49 will be drawn from this population. If μ is really equal to 45, what is the power of the test ?

Answer #1

Consider the following hypothesis test:
H0: μ = 15
Ha: μ ≠ 15
A sample of 50 provided a sample mean of 14.18. The population
standard deviation is 5.
a. Compute the value of the test statistic (to
2 decimals).
b. What is the p-value (to 4
decimals)?
c. Using α = .05, can it be concluded that the
population mean is not equal to 15? SelectYesNo
Answer the next three questions using the critical value
approach.
d. Using α...

Consider the following hypothesis test:
H0: μ = 15
Ha: μ ≠ 15
A sample of 50 provided a sample mean of 14.18. The population
standard deviation is 6.
a. Compute the value of the test statistic (to
2 decimals).
b. What is the p-value (to 4
decimals)?
c. Using α = .05, can it be concluded that the
population mean is not equal to 15? SelectYesNoItem 3
Answer the next three questions using the critical value
approach.
d. Using...

In a test of the hypothesis Ho: μ = 50
versus Ha: μ ≠ 50,
with a sample of n = 100 has a Sample Mean = 49.4 and Sample
Standard Deviation, S = 4.1.
(a) Find the p-value for the test. (b)
Interpret the
p-value for the test, using
an α =
0.10.

You are given the following null and alternative hypotheses: H0:
μ = 1.2 HA: μ ≠ 1.2 α = 0.10 The true population mean is 1.25, the
sample size is 60, and the population standard deviation is known
to be 0.50. Calculate the probability of committing a Type II error
and the power of the test.

In a test of H0: μ = 200 against Ha: μ
> 200, a sample of n = 120 observations possessed mean = 202 and
standard deviation s = 34. Find the p-value for this test. Round
your answer to 4 decimal places.

A one-sample test of H0: μ = 125
against Ha: μ > 125 is carried out
based on sample data from a Normal population. The SRS of size
n = 15 produced a mean 132.8 and standard deviation
12.6.
What is the value of the appropriate test statistic?
Select one:
a. z = 2.40
b. t = 2.32
c. t = 2.40
d. z = 2.32
e. t = 1.76

Test H0: μ ≤ 8 versus HA: μ > 8, given α = 0.01, n = 25, X =
8.13 and s = 0.3. Assume the sample is selected from a normally
distributed population.

Your research supervisor wants you to test the null hypothesis
H0: μ = 50 against the one-sided
alternative hypothesis Ha: μ > 50.
The population has a normal distribution with a standard deviation
of 12.0. You are told to use a sample size of 121 and a rejection
region of x bar > 52 .
a) What is the power of this test of significance under the
alternative hypothesis that the
mean μ is 53 . State your
answer to four digits to...

Question 1
The p-value of a test H0: μ= 20 against the
alternative Ha: μ >20, using a sample of
size 25 is found to be 0.3215.
What conclusion can be made about the test at 5% level of
significance?
Group of answer choices
Accept the null hypothesis and the test is insignificant.
Reject the null hypothesis and the test is insignificant.
Reject the null hypothesis and the test is significant
Question 2
As reported on the package of seeds,...

Consider the following hypothesis test. H0: μ ≥ 10 Ha: μ < 10
The sample size is 120 and the population standard deviation is 5.
Use α = 0.05. If the actual population mean is 9, the probability
of a type II error is 0.2912. Suppose the researcher wants to
reduce the probability of a type II error to 0.10 when the actual
population mean is 10. What sample size is recommended? (Round your
answer up to the nearest integer.)

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