Question

Life situation where could be used statistical inference (confidence interval or hypothesis test) on two samples? how would you do it?

Answer #1

Suppose we have two different groups to compare the same attribute, in these cases we use statistical inference (confidence interval or hypothesis test) on two samples

For example, the daily calorie consumption of males and females in a particular state

If the variance is known we will use statistical inference (confidence interval or hypothesis test) on two samples using z values and if the variance is unknown we will use statistical inference (confidence interval or hypothesis test) on two samples using t values.

The procedure is to assume initially that the means are the same and then check for the significance for the difference if it is truly 0 or not.

Describe two versions of one situation in your professional life
where you could investigate a problem by collecting data using:
Independent samples
Dependent samples
i stock shelves at a store.

How can a confidence interval be used
to test a hypothesis typically addressed in a difference of means
test (t-test)?

How can a confidence interval be used to test a hypothesis
typically addressed in a difference of means test (t-test)?

Hypotheses for a statistical test are given, followed by several
possible confidence intervals for different samples. In each case,
use the confidence interval to state a conclusion of the test for
that sample and give the significance level used. In addition, in
each case for which the results are significant, give the sign of
the correlation.
Hypotheses: Ho ρ = 0 vs. Ha: ρ ≠ 0
a) 95% confidence interval for ρ: 0.02 to 0.19
Conclusion __________
Ho
(reject...

Describe how you could use a confidence interval to analyze a
portion a dataset in a way that would help the owner of the
restaurant better understand his customers. Be sure to use proper
statistical terminology. You do not have to actually calculate the
confidence interval

Describe how you could use a confidence interval to analyze a
portion a dataset in a way that would help the owner of the
restaurant better understand his customers. Be sure to use proper
statistical terminology. You do not have to actually calculate the
confidence interval

What are names of the two hypotheses you consider in a
statistical hypothesis test?
What are the two possible decisions you could make in a
statistical hypothesis test?
What is a type I error? Explain.
What is a type II error? Explain.
What is a P-value? Explain.

Please give one example where (and/or why) would or could a
prediction interval be used in practice or in your own professional
or interest area? What would be the benefit of using a prediction
interval over other possible statistical methods?

Provide a real life situation in any area of life where the
assignment technique is used and explain how it is used.

To compare two population means, two independent sample data are
used to construct a confidence interval and perform a two-sided
significance test to obtain a P-value. Explain what you could learn
from a confidence interval comparing the means that you are not
able to learn from a Pvalue.

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