The mean lifespan of a track athlete is 53 years. If the standard deviation 12 years with the age normally distribute:
a. What is the probability that a randomly selected track athlete will live more than 65 years?
b. Random samples of 10 track athletes are taken with a mean age of x . Is the shape of the sampling distribution of x approximately normal why or why not.
c. Calculate the probability that a random sample of 10 track athletes will have a mean life span of 65 or above.
d. Why are the answers different in parts a. and c.?

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Answer 1

Answer:

tss ohh that's easy the answer is A


Related Questions

The French built settlements and forts along the?

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Answer:

The French built settlements and forts along the Mississippi River and its tributaries in what is now the central and southern United States.

Explanation:

A. Identify and discuss at least five challenges that hinders the teacher from effectively managing the classroom​

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Answer:

Some of the common classroom challenges faced by teachers include lack of teamwork, minimal personal time, working towards long term goals, arguments and student excuses, etc.

Explanation:

so point a is named by the ordered pair can u help neee

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Answer:

A point is named by its ordered pair of the form of (x, y)


2. Suppose that all possible n = 50 samples are selected from a population. How would the mean,
standard deviation, and shape of the resulting sampling distribution compare to a sampling
distribution based on all possible n= 100 samples?

Answers

Using the Central Limit Theorem, it is found that the mean and the shape would remain the same, while the standard deviation would be multiplied by the square root of 2.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.

In this problem:

The sample size would remain above 30, hence the shape would still be normal.The mean does not depend on the sample size, hence it would remain constant.The standard deviation is inversely proportional to the square root of the sample size, then since the sample size would be divided by 2, the standard deviation would be multiplied by the square root of 2.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

How many reports for colleges does the ACT registration fee cover?
&
Ο Α. 4
Β. 2
Ο Ο Ο
Ο C. 5
D. 1

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Answer:

Your fee waiver covers one report to your high school and up to six college choices. After registration, you can request up to an additional 20 regular score reports for free.

According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. You randomly select six peanut M&M’s from an extra-large bag of the candies. (Round all probabilities below to four decimal places; i.e. your answer should look like 0.1234, not 0.1234444 or 12.34%.)

Compute the probability that exactly five of the six M&M’s are blue.



Compute the probability that four or five of the six M&M’s are blue.



Compute the probability that at most five of the six M&M’s are blue.



Compute the probability that at least five of the six M&M’s are blue.



If you repeatedly select random samples of six peanut M&M’s, on average how many do you expect to be blue? (Round your answer to two decimal places.)

blue M&M’s

With what standard deviation? (Round your answer to two decimal places.)

blue M&M’s

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pls don't use this app this app is makes you spoiled

It is hard please help it is being a weird

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What grade are u in ? ,are you okay?
Hey
It shall be well

A population of values has a normal distribution with mean = 241.7 and standard deviation = 48.3. You intend to draw a random sample of size n = 79. = Find the probability that a single randomly selected value is between 233 and 242.2. P(233 < X < 242.2)​

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Answer:

wow that's sound easy but I can't help you cause your very spoiled to do your modules

How to find a good roommate in college?

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Answer:

find someone with the same interests with you that is someone that you could become friends with

Explanation:

identify five phyco-social factors to learners

Answers

Typically, psychological factors include attitudes, motivations, perceptions, learning abilities, and emotions

The five phyco-social factors which can affect learners are:

MotivationPerceptionLearningAttitudeFamily

What is psychosocial factors?

Psychosocial factors refers to characteristics that can influence an individual psychologically and socially. The psychosocial helps to describe the relationship of an individual with their social environment and the effects on their mental health.

Therefore, the five psychosocial factors that can affect learners academically are Motivation, Perception, Learning, Attitude, Family.

Learn more about psycho social factors:

https://brainly.com/question/11917863

A vessel located between an artery and a capillary is a(n) ___________.

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Answer:

spinal cord that is located between the artery and capillary

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