Question

HYPOTHESES IN THE REAL WORLD: Consider a business of any type. What is a situation where a hypothesis test might help make a decision? Describe the situation. Then you or someone in a reply can make up numbers for that situation and someone else can solve it.

Answer #1

Let us consider a Printing Business.

Suppose the business claims that each ink cartridge prints 1000 pages. Thus it can be a situation where a hypothesis test might help make a decision.

Let the no. of pages each ink cartridge printed over a span of a yeary be as follows:

1024 976 1096 936 985 1004 1105

Can the business have 95 % confidence that the mean no. of pages each ink cartridge prints is not 1000?

Solution:

null hypothesis: *H* _{0}: μ = 1000

alternative hypothesis: *H _{a}*: not H

_{And we can perform one sample t-test in R using the
code:}

x<-(1024,976,1096,936,985,1004,1105)

t.test(x, mu = 1000, alternative = "two.sided")

Decision Rule:

We will reject H_{0} at 5% level of significance
if p-value is less than 0.05.

describe a real-world example of when a hypothesis test could be
used and also include a numerical example. The example can use real
data or data that you make up such as values for the mean, standard
deviation, and sample size.

Describe a situation in your personal life where you engage in
an activity or a decision-making process that lends itself to a
continuous probability distribution. What type of
probability distribution might be most appropriate for the
activity? Please include real-life examples (not teacher ones)

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.

Answer the following questions:
What are the two types of hypotheses used in a hypothesis
test?
How are they related?
Describe the two possible types of error in a hypothesis test
decision.
What are the two decisions that you can make from performing a
hypothesis test?

Answer the following questions:
What are the two types of hypotheses used in a hypothesis
test?
How are they related?
Describe the two possible types of error in a hypothesis test
decision.
What are the two decisions that you can make from performing a
hypothesis test?

What are some typical real world situations where you find joint
random variables being used? Pick one such situation and describe
it in some detail. What was the most interesting thing you learned
about how joint random variables are being used?

Pose a problem situation of real life, where you need mechanical
physics to solve it.
The problem posed must contain the following topics, without
being limited to this list:
1. Conservation of Mechanical Energy.
2. Conservation of the linear or two-dimensional moment.
3. Conservation of the angular Moment.
I want this exercise with a bullet in a pendulum problem.
?Please make the best you can, well detailed and
explainedand.
Take your time, a day if necessary, it's for the University....

Provide a real world example of a Type I error.
2. Explain what a critical value is, and explain how
it is used to test a hypothesis.
3. Explain what a p-value is, and explain how it is
used to test a hypothesis.
4. How do we decide whether to use a z test or a t
test when testing a hypothesis about a population mean?

1. Provide a real world example of a Type I error. 2. Explain
what a critical value is, and explain how it is used to test a
hypothesis. 3. Explain what a p-value is, and explain how it is
used to test a hypothesis. 4. How do we decide whether to use a z
test or a t test when testing a hypothesis about a population
mean?

Explain a real-world example of when a hypothesis test could be
used. The example can use real data or data that you make up, such
as values for the mean, standard deviation, and sample size. Be
sure to note if the standard deviation is from the population or
the sample.

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