Question

Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed. Write out null and alternative hypotheses, your critical z-score and your z-test statistic. Decide whether you would reject or fail to reject your null hypothesis.

Claim: μ > 28; α = 0.05, σ = 1.2

Sample statistics: x̅ = 28.3, n = 50

H_{0}:

H_{a}:

Critical z-score:

Z test statistic:

Decision:

Answer #1

Test the claim about the population mean μ at the level of
significance α. Assume the population is normally distributed.
Write out null and alternative hypotheses, your critical t-score
and your t-test statistic. Decide whether you would reject or fail
to reject your null hypothesis.
Claim μ ≥ 13.9
α = 0.05
Sample statistics: x̅ = 13, s = 1.3, n = 10
H0:
Ha:
t0:
t-test statistic:
Decision:

Use a t-test to test the claim about the population mean μ at
the given level of significance α using the given sample
statistics. Assume the population is normally distributed.
Claim: μ ≠ 24; α=0.10 Sample statistics: x overbar =
21.4, s = 4.2 , n equals = 11
What are the null and alternative hypotheses? Choose the
correct answer below.
A.H0: μ≠24
Ha: μ=24
B.H0: μ≤24
Ha: μ>24
C.H0: μ=24
Ha: μ≠24
D.H0: μ≥24
Ha: μ than<24...

Test the claim about the population mean,μ, at the given level
of significance using the given sample statistics
Claim: μ not equal 7000; alpha=0.09; sigma (SD) =374.
Samplestatistics: x =7300, n=34
1. identify the null and alternative hypotheses
2. what is the standardized test statistic
3. Determine the critical value (round to two decimal places as
needed)
4. Determine the outcome and conclusion of the test (choose from
choices below)
a. Fail to reject H0 - not enough evidence to...

t-test. Test the following claim about the population mean μ at
the given level of significanceα using the given sample statistics.
Assume that the population follows a normal distribution.
(1) State the null hypothesis, H0, and the alternate hypothesis,
Ha indicating which is the claim. You should also list the level of
significance, α and state the type of hypothesis test that must be
done (i.e. left-tailed, right-tailed, or two-tailed).
(2) Show your calculation of the test statistic.
(3) Depending...

Test the claim that for the population of statistics final
exams, the mean score is 80 using alternative hypothesis that the
mean score is different from 80. Sample statistics include n=28,
x¯=81, and s=13. Use a significance level of α=0.05. (Assume
normally distributed population.)
The test statistic is
The positive critical value is
The negative critical value is
The conclusion is A.There is sufficient evidence to reject the
claim that the mean score is equal to 80.
B.There is not...

1.
Test the hypothesis:
Population appears to be normally distributed.
Given the sample statistics n = 20, = 8.2, and s = 1.2,
find the critical value(s) tcr and
test statistic t for testing the claim μ = 8.6 at
significance α = 10%.
Then, state the conclusion of this hypothesis test.
Select one:
tcr = 1.729, t ≈ 1.491, fail to reject
H0
tcr = 1.328, t ≈ 1.491, reject H0
tcr = −1.328, t ≈ −1.491, reject H0
tcr...

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?

While testing a claim about population mean, if the value of the
population standard deviation σ is not known, then the distribution
we use:CHOOSE
Binomial Distribution
Standard Normal Distribution
None
Student's t-Distribution
With H0: p = 0.4, Ha: p < 0.4 , the test statistic is z = –
1.68. Using a 0.05 significance level, the P-value and the
conclusion about null hypothesis are:
0.0465; reject H0
0.093; fail to reject H0
0.9535; fail to reject H0
0.0465;...

You wish to test the following claim (H1H1) at a significance
level of α=0.05α=0.05.
Ho:μ=73.9Ho:μ=73.9
H1:μ≠73.9H1:μ≠73.9
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain the following sample of
data:
data
86
74.3
81.7
80.5
90.3
75.7
79.7
85.7
69.9
What is the critical value for this test? (Report answer accurate
to three decimal places.)
critical value = ±±
What is the test statistic for this sample? (Report answer accurate
to three...

You wish to test the following claim (Ha) at a significance
level of α=0.02.
Ho: μ = 83.4
Ha: μ > 83.4
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=54, with
mean M=85.2, and a standard deviation of SD=11.7.
1. What is the test statistic for this sample? (Report
answer accurate to THREE decimal places.)
test statistic =
2. What is the p-value for this sample?...

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