The mean ACT composite score in a recent year is 20.8 with a standard deviation of 5.6. A random sample of 36 ACT composite scores are selected. What is the probability that the mean score for the sample is (a) less than 21.6

Answers

Answer 1

Answer:

0.3051

Explanation:

mean (μ) = 20.8, standard deviation (σ) = 5.6 and the number of samples (n) = 36 scores.

Z score also known as standard score is used in probability to measure the number of standard deviations by which the value of what is being measured is above or below the mean. It is given by the equation:

Z score (z) = [tex]\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]

For x = 21.6,

[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } } =\frac{21.6-20.8}{\frac{5.6}{\sqrt{36} } } =0.86[/tex]

From the probability table:

P(x < 21.6) = P(z < 0.86) = 0.3051 = 30.51%

The probability that the mean score for the sample is less than 21.6 = 30.51%

Related Questions

Hamadi is renting a car. The rental charge is $17.50 per day plus $0.16 per mile. Hamadi can
spend at most $33 for the cost of the car rental. If Hamadi rents the car for one day, which of
the following is one possible number of miles Hamadi can drive the rental car?

Answers

Answer:

96 full miles.

Explanation:

[tex]33=17.50+0.16m\\0.16m=15.5\\m=\frac{15.5}{0.16}\\m=96.875[/tex]

Which word(s) are associated with the illustration? A) legend B) caption C) definition D) call number

Answers

Answer:

I belive its definition

The answer would be c : Definition

Strategic Searching-

Look for two words at once by placing OR between them.

Group of answer choices

True

False

Answers

The statement is False.

Explanation:

The term strategic searching is not simply looking for two words at the same time and placing the use of the word Or between them. These are the strategies which are used to find words or the meaning of the concepts which one is looking for.

It does not only mean looking for two words at the same time. It is much more than simply stating that of searching the meaning of the two words with the help of word Or.

This statement is false

Which type of character does Peepi-geewi-zains represent in the passage?

Answers

Answer: PAMBU

Explanation: THAMBU

Select the correct answer. For which career role would a distance education course be useful? A. screenwriter B. authoring specialist C. journalist D. copy writer

Answers

Answer:

B. author specialist

Explanation:

B would be the correct answer

Earth's weather takes place in what layer of the atmosphere?
A) exosphere
B) lithosphere
C) stratosphere
D) troposphere

Answers

D) Troposphere the troposphere is the first layer above the surface and contains half of the Earth's atmosphere. Weather occurs in this layer. 2) Many jet aircrafts fly in the stratosphere because it is very stable. Also, the ozone layer absorbs harmful rays from the Sun.

What does body language not improve

Answers

Answer:

success

Explanation:

you body allows you to see and tou can also listen and understand but success does not include your body

body language improve success

number each material and sort the items in order from lowest (1) to highest (7) Density

- chalk

- copper

- flour

- dry beans

- talcum powder

- wax

- wet sand

Answers

Answer: copper > chalk > flour > talcum powder > dry beans.

Explanation:

Density is the compactness of given object.

Basically, it is mass per volume.

copper has the most density

chalk has lesser density than copper.

flour has lesser density than copper and chalk.

talcum powder has lesser density than copper, chalk and flour.

dry beans have lesser density than copper, chalk, and flour.

So, it becomes,

copper > chalk > flour > talcum powder > dry beans.

Yea I don’t get this but hope you get someone to answer it :)

We intend to estimate the average driving time of a group of commuters. From a previous study, we believe that the average time is 68 minutes with a standard deviation of 12 minutes. We want our 90 percent confidence interval to have a margin of error of no more than plus or minus 1 minutes. What is the smallest sample size that we should consider

Answers

Answer: The smallest sample size would be 392.

Explanation:

Since we have given that

Standard deviation = 12 minutes

Mean = 68 minutes

Margin of error = [tex]\pm 1[/tex]

At 90% confidence interval, z = 1.65

So, the smallest sample size that we should consider would be

[tex]n=(\dfrac{z\times \sigma}{ME})^2\\\\n=(\dfrac{1.65\times 12}{1})^2\\\\n=(19.8)^2\\\\n=392.04\\\\n=392[/tex]

Hence, the smallest sample size would be 392.

Answer:392

Explanation:

(
Which statement represents what a person with a Growth Mindset believes?
A: I'm just never going to be good at some activities.

B: If I'm not smart, there's nothing I can do about it.

C: I can improve any of my abilities with practice.

D: Making a mistake means I'm stupid and bad at everything.

Answers

I can improve any of my abilities with a practice statement that represents what a person with a Growth Mindset believes. Thus, option C is correct.

What is a Growth Mindset?

Those with a growth mindset think they can get smarter and more talented by working hard and doing things. A growth mindset permits folks to "bounce back" by putting out more motivating effort and acknowledges that failures are an essential part of what we learn.

People can value their work despite what happens thanks to the growing attitude. The idea that you were born with a particular thinking and it can change is known as a specific mindset. This will represent the way that the person will be performing the activity and will be working to achieve it.

Therefore, option C is the correct option.

Learn more about Growth Mindset, here:

https://brainly.com/question/22653110

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Was pop music new in London in 1965?

Answers

Answer I dont live in london

Explanation:

The Beatles and the Rolling Stones were

The descriptive language in the poem helps the reader understand
A. the way the narrator feels about splendor.
B. the purpose of telling time with tree rings.
C. the narrator’s relationship with the cane.

Answers

Descriptive language in a poem is language that paints a vivid and sensory picture of a person, place, thing, or idea. It uses words and phrases to create an image in the reader's mind, appealing to the senses of sight, sound, smell, taste, and touch, and conveying emotions and experiences.

Explain the given options about descriptive language in detail?

Based on the options given, descriptive language in a poem can help the reader understand:

A. The way the narrator feels about splendor: Descriptive language can convey the beauty, grandeur, and magnificence of the subject being described. Through vivid and sensory language, the reader can feel the emotions and experiences the narrator is describing.

B. The purpose of telling time with tree rings: Descriptive language can explain the details of the natural world and scientific processes. Through precise and specific language, the reader can understand the purpose and significance of telling time with tree rings.

C. The narrator’s relationship with the cane: Descriptive language can convey the emotional and symbolic meaning of objects. By using figurative language and personification, the reader can understand the deeper connection and significance of the narrator's relationship with the cane.

To learn more about poem, visit: https://brainly.com/question/26103220

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The answer is B (the purpose of telling time with tree rings.)

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