Question

- Compute the one sample Z-test for the following problems.

A test is conducted for H_{0}: μ = 40, with σ = 5. A
sample size of 100 is selected X= 42.2

- What is the null and alternative hypothesis for a 2-tailed test of significance?
- Compute the SEM for this problem.
- Compute the one Sample Z-test for this problem.

Answer #1

1. For a particular scenario, we wish to test the
hypothesis H0 : μ = 14.9. For a sample
of size 35, the sample mean X̄ is 12.7. The population
standard deviation σ is known to be 8. Compute the value
of the test statistic zobs. (Express your
answer as a decimal rounded to two decimal places.)
2. For a test of H0
: μ = μ0 vs. H1 :
μ ≠ μ0, assume that the test statistic
follows a...

Suppose the hypothesis test
H0:μ=12H0:μ=12
against
Ha:μ<12Ha:μ<12
is to be conducted using a random sample of n=44n=44
observations with significance level set as
α=0.05α=0.05.
Assume that population actually has a normal distribution with
σ=6.σ=6.
Determine the probability of making a Type-II error (failing to
reject a false null hypothesis) given that the actual population
mean is μ=9μ=9.
P(Type-II error) ==

The following information is given for a one-sample t test: H0:
μ = 100; HA: μ < 100 Sample statistics: x̅= 95; s = 12.42 Value
of the test statistic: t = –1.80 (a) Determine the sample size, n.
(b) At a significance level α = 0.05, would your decision be to
reject H0 or fail to reject H0?

A sample mean, sample size, and population standard deviation
are provided below. Use the one-mean z-test to perform the
required hypothesis test at the 1% significance level. x bar =26,
n=36, σ=88, H0: mu=3, μ=31, Ha: mu < 31
Find test statistic Z?

To test H0: μ=100 versus H1: μ≠100, a simple random sample size
of n=24 is obtained from a population that is known to be normally
distributed.
A. If x=105.8 and s=9.3 compute the test statistic.
B. If the researcher decides to test this hypothesis at the
a=0.01 level of significance, determine the critical values.
C. Draw a t-distribution that depicts the critical regions.
D. Will the researcher reject the null hypothesis?
a. The researcher will reject the null hypothesis since...

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...

Assume that a hypothesis test will be conducted with null
hypothesis H0: μ > 20.
Find the critical value for a sample with n = 15 and α = 0.05.

1) Consider a test of
H0 : μ = μ0
vs.
H0 : μ <
μ0.
Suppose this test is based on a sample of size 8, that
σ2 is known, and that the underlying population
is normal. If a 5% significance level is desired, what would be the
rejection rule for this test?
Reject H0 if zobs <
-1.645
Reject H0 if tobs <
-1.894
Reject H0 if zobs <
-1.960
Reject H0 if tobs <
-2.306
2)
Which...

Consider the following hypothesis test.
H0: μ ≤ 12
Ha: μ > 12
A sample of 25 provided a sample mean x = 14
and a sample standard deviation s = 4.65.
(a) Compute the value of the test statistic. (Round your answer
to three decimal places.)
(b) Use the t distribution table to compute a range for
the p-value.
a. p-value > 0.200
b. 0.100 < p-value <
0.200
c. 0.050 < p-value < 0.100
d. 0.025 < p-value...

Consider the following hypothesis test.
H0: μ ≤ 12
Ha: μ > 12
A sample of 25 provided a sample mean x = 14 and a sample
standard deviation s = 4.64.
(a)
Compute the value of the test statistic. (Round your answer to
three decimal places.)
(b)
Use the t distribution table to compute a range for the
p-value.
p-value > 0.2000.100 < p-value <
0.200 0.050 < p-value <
0.1000.025 < p-value < 0.0500.010 <
p-value < 0.025p-value <...

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