SAT College


15. For a random sample of n = 64, find the probability of a sample mean being
less than 24.3 when p = 24 and o = 1.25.

Answers

Answer 1

Answer:

0.9726

Explanation:

The computation of the probability of a sample mean is shown below:

[tex]P(\bar x < 24.3)[/tex]

To find the probability first we have to determine the z score which is

[tex]z = \frac{\bar x - \mu_{\bar x}}{\sigma_{\bar x}} \\\\ = \frac{\bar x - \mu }{\frac{\sigma}{\sqrt{n} } } \\\\ = \frac{24.3 - 24}{\frac{1.25}{\sqrt{64} } }[/tex]

= 1.92

Now probability is

[tex]P(\bar x < 24.3) \\\\= P(z < 1.92)[/tex]

= 0.9726

Hence, the probability of the sample mean is 0.9726

We simply applied the above formulas to determined the probability of a sample mean and the same is to be considered

Related Questions

The official record of a high school student’s performance is called:

Answers

Answer:

A High School Transcript

Which of the following statements is NOT true about a thesis statement?


The thesis statement is not as important as the introduction and the conclusion of your paper.


The thesis statement is the main argument you are making in your paper.


The thesis statement is the most important part of your paper.


The thesis statement sets up what evidence you include in your paper.

Answers

Answer:

The thesis statement is the main argument you are making in your paper. It is the most important part of your paper. And it sets up what evidence you include in your paper.

I hope you understood well !!

The statement that is not true about a thesis statement is the main argument you are making in your paper. The correct option is b.

What is a thesis?

The sentence that represents a writing assignment's main claim and helps to organize the thoughts in the document is referred to as the thesis statement. A thesis is an assertion that has been argued, proven, or otherwise supported at the outset of an argumentative document. It typically states a scientific principle, a thesis, or a verifiable fact.

A thesis is the concrete statement of an idea that is disclosed in an open and supported manner. It is derived from the scientific process. It can also be referred to as scientific theory because a theoretical foundation can be regarded as a component of the body of knowledge. In an argumentative text, the writer usually conforms to their viewpoint on the issue they are discussing. Afterward, the author

Therefore, the correct option is b. The thesis statement is the main argument you are making in your paper.

To learn more about the thesis, refer to the link:

https://brainly.com/question/939756

#SPJ2

A city of Punjab has a 15 percent chance of wet weather on any given day. What is the probability that it will take a week for it three wet weather on 3 separate days? Also find its Standard Deviation

Answers

Answer:

0.06166

sd = 0.9447

Explanation:

probability of having a wet day on any given day at 15 percent = 0.15 is as follows

Lets define X as the number of days that it is going to rain.

we have x binomial (7, 0.15)

probability(x = 3) = (7 3)p³(1-p)⁴

we have 7!/3!4!(0.15)³(0.85)⁴

= (210/6)*0.003375*0.522

= 35*0.003375*0.522

= 0.06166 approximately 0.0617

b standard deviation = [tex]\sqrt{np(1-p)}[/tex]

= [tex]\sqrt{7*0.15(0.85)}[/tex]

= [tex]\sqrt{0.8925}[/tex]

= [tex]0.9447[/tex]

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