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maks197457 [2]
3 years ago
11

Find the mean of the data set. –6 3 –2 6 7 –3 –5 8

Mathematics
1 answer:
daser333 [38]3 years ago
4 0

To find the mean in a set of data you need to add all the numbers and divide by the number of digits.

–6 + 3 + –2 + 6 + 7 + –3 + –5+ 8 = 8

8 divided by 8 because there are 8 numbers which equals 1

So your final answer is <u>1 </u>

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Suppose that you take a sample of 250 adults. If the population proportion of adults who watch news videos is 0.58​, what is the
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Answer:

0.36% probability that fewer than half in your sample will watch news​ videos

Step-by-step explanation:

To solve this question, i am going to use the binomial approximation to the normal.

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The expected value of the binomial distribution is:

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Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 250, p = 0.58

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\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{250*0.58*0.42} = 7.80

If the population proportion of adults who watch news videos is 0.58​, what is the probability that fewer than half in your sample will watch news​ videos

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Less than half is 124 or less

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

Z = \frac{124 - 145}{7.8}

Z = -2.69

Z = -2.69 has a pvalue of 0.0036

0.36% probability that fewer than half in your sample will watch news​ videos

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Answer:

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