Question

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; fail to reject H0

Answer #1

1) While testing a claim about the population mean, if the value
of the population standard deviation σ is not known, then we choose
**Student's t-Distribution**

**Answer:** **Student's
t-Distribution**

2) Here we are testing

H0: p = 0.4

vs

Ha: p < 0.4

So this is one-tail Z test

So p-value will be area to the left side of the test statistic in the standard normal distribution table

Here

z = – 1.68

So

p-value = 0.0465

And the level of significance is 0.05

As p-value is less than the level of significance we reject H0

Answer: **0.0465; reject H0**

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answer.**

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:
ِA) 0.0465; reject H0
B) 0.093; fail to reject H0
C) 0.9535; fail to reject H0
D) 0.0465; fail to reject H0
what is the correct answer?

While testing a claim about the population mean, if the value of
the population standard deviation σ is not known, then the
distribution we use:
1) Binomial Distribution
2) Standard Normal Distribution
3) None
4) Student's t-Distribution

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
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Claim: μ > 28; α = 0.05, σ = 1.2
Sample statistics: x̅ = 28.3, n = 50
H0:
Ha:
Critical z-score:
Z test statistic:
Decision:

Suppose for a certain population we do not know the
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A. Since sample size is small, we assume the population is
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Construct a 95% confidence interval estimate of the standard
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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
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H0:
Ha:
t0:
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In Chapters 7 and 8, you studied estimation and hypothesis
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(a) What two sampling distributions are used in estimation and
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