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3 years ago

HELP ME PLS!!!

Mathematics

1 answer:

atroni [7]3 years ago

8 0

Answer:

A. This conclusion was drawn using the law of detachment

Step-by-step explanation:

Definition:

Law of Detachment

If p equals q and p is also true. Then q is true.

if a number is a whole number, then it is an integer.

3 is a whole number (true statement) , so it 3 is an integer. (must be true)

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EastWind [94]

Using the normal distribution, it is found that 7.64% of of sample means are greater than 8.8 hours.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

The parameters are given as follows:

$\mu = 8.4, \sigma = 1.77, n = 40, s = \frac{1.77}{\sqrt{40}} = 0.2799$

The proportion of sample means greater than 8.8 hours is <u>one subtracted by the p-value of Z when X = 8.8</u>, hence:

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

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

$Z = \frac{8.8 - 8.4}{0.2799}$

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7.64% of of sample means are greater than 8.8 hours.

More can be learned about the normal distribution at brainly.com/question/25800303

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