Question

A sample of n=33 observations has a sample mean of 2.879. If an assumed known population standard deviation σ = 0.325 is used, calculate the p-value for the testing of hypotheses.

(a) H0 : µ = 3.0 vs. Ha : µ is not = to 3.0

(b) H0 : µ ≥ 3.5 vs. Ha : µ < 3.5

Answer #1

A sample of 64 observations is taken from a normal population
known to have a standard deviation of 13.7. The sample mean is
47.9. Calculate the test statistic to evaluate the hypothesis µ=46.
Enter your answer to 2 decimal places.
A sample of 20 observations is taken from a normal population
known to have a standard deviation of 17.3. The sample mean is
47.2. Calculate the test statistic to evaluate the hypothesis µ≤48.
Enter your answer to 2 decimal places....

A sample data is drawn from a normal population with unknown
mean µ and known standard deviation σ = 5. We run the test µ = 125
vs µ < 125 on a sample of size n = 100 with x = 120. Will you be
able to reject H0 at the signiﬁcance level of 5%?
A. Yes
B. No
C. Undecidable, not enough information
D. None of the above

A random sample of 20 observations produced a sample mean of
9.5. Find the critical and observed z-values for each of the
following and test each hypothesis at α = 0.05. Write a separate
conclusion for each hypothesis. The underlying population standard
deviation is known to be 3.5 and the population distribution is
normal (5 points):
H0: µ = 8.75; H1: µ ≠ 8.75
H0: µ = 8.75; H1: µ > 8.75

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) ...

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) ...

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) ...

A random sample of 100 observations from a quantitative
population produced a sample mean of 21.5 and a sample standard
deviation of 8.2. Use the p-value approach to determine whether the
population mean is different from 23. Explain your conclusions.
(Use α = 0.05.) State the null and alternative hypotheses. H0: μ =
23 versus Ha: μ < 23 H0: μ = 23 versus Ha: μ > 23 H0: μ = 23
versus Ha: μ ≠ 23 H0: μ <...

A random sample of 101 observations produced a sample mean of
33. Find the critical and observed values of z for the
following test of hypothesis using α=0.02. The population standard
deviation is known to be 6 and the population distribution is
normal.
H0: μ=28 versus H1: μ≠28.
Round your answers to two decimal places.
zcritical left =
zcritical right =
zobserved =

9-12 Consider the following hypotheses:
H0: μ = 33
HA: μ ≠ 33
The population is normally distributed. A sample produces the
following observations: (You may find it useful to
reference the appropriate table: z table
or t table)
38
31
34
36
33
38
28
a. Find the mean and the standard deviation.
(Round your answers to 2 decimal
places.)
b. Calculate the value of the test statistic.
(Round intermediate calculations to at least 4 decimal
places and final...

A sample of 33 observations is selected from a normal
population. The sample mean is 53, and the population standard
deviation is 6. Conduct the following test of hypothesis using the
0.05 significance level.
H0: μ = 57
H1: μ ≠ 57
Is this a one- or two-tailed test?
One-tailed test
Two-tailed test
What is the decision rule?
Reject H0 if −1.960 < z <
1.960
Reject H0 if z < −1.960 or
z > 1.960
What is the value...

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