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andrew-mc [135]
3 years ago
5

Identifyin g a Data Set with an Outlier

Mathematics
1 answer:
Alchen [17]3 years ago
7 0
I don’t really see an outlier but if i have to choose one i would do the 678
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Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.5 feet and a standard deviation o
Mumz [18]

Answer:

0% probability that the mean of the sample taken is less than 2.2 feet.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

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

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 2.5 feet and a standard deviation of 0.2 feet.

This means that \mu = 2.5, \sigma = 0.2

Sample of 41

This means that n = 41, s = \frac{0.2}{\sqrt{41}}

Find the probability that the mean of the sample taken is less than 2.2 feet.

This is the p-value of Z when X = 2.2 So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{2.2 - 2.5}{\frac{0.2}{\sqrt{41}}}

Z = -9.6

Z = -9.6 has a p-value of 0.

0% probability that the mean of the sample taken is less than 2.2 feet.

6 0
3 years ago
5y+x2÷2 when x=4 and y= -3. when x=4 and y=-3, 5y + x2 ÷2= ​
Leona [35]

Answer:

answer of given question is -7/2

8 0
3 years ago
I NEED HELP PLEASE! ITS DUE TOMORROW!! THANKS!
Aleksandr-060686 [28]

Answer:

Katie is not cheating. From the question, it sounds like Katie's spinner is 1-12. James has two dice so he has two sets of each number 1-6. This means that Katie can roll two numbers greater than six but James can only roll up to six. Using probability, I think there is a 50% chance that Katie's number will be bigger than James every time she spins. A fairer way would be for them both to play with the same dice or spinner.

Step-by-step explanation:

3 0
3 years ago
Mr Langley sold all but 10 of his old computers for R500 each . He received R32 500 from the sale .How many computers did he ori
velikii [3]

Answer:

75 computers

Step-by-step explanation:

R 32500 / R 500= 65 sold

65 +10= 75 computers originally

5 0
3 years ago
Please only answer if you know the answer.
yarga [219]

Answer:

F=First

O=Outer

I=Inner

L=Last

8 0
3 years ago
Read 2 more answers
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