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Harlamova29_29 [7]
3 years ago
11

-3 5/6 - 4 3/8Please help​

Mathematics
1 answer:
olga2289 [7]3 years ago
8 0
-197/24 is the correct answer.
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If there are 5 boys and 7 girls, write the ratio of girls to total students
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7:12

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A survey of Massachusetts high school students showed that the mean number of hours these students reported watching crime TV sh
masha68 [24]

Answer:

a) Z = -0.5

b) Z = 1.5

c) 93.32% of students watch less than 3.6 hours of shows a week

d) 62.57% of the sample watches between 2 hours and 3.6 hours of crime shows a week

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 2.4, \sigma = 0.8

a. Find the z-score for a student who reported watching 2 hours of crime shows a week.

This is Z when X = 2. So

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

Z = \frac{2 - 2.4}{0.8}

Z = -0.5

b. Find the z-score for a student who reported watching 3.6 hours of crime shows a week

X = 3.6. So

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

Z = \frac{3.6 - 2.4}{0.8}

Z = 1.5

c. What percentage of students watch less than 3.6 hours of shows a week?

pvalue of Z when X = 3.6.

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

Z = \frac{3.6 - 2.4}{0.8}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

93.32% of students watch less than 3.6 hours of shows a week

d. What percentage of the sample watches between 2 hours and 3.6 hours of crime shows a week?

pvalue of Z when X = 3.6 subtracted by the pvalue of Z when X = 2.

X = 3.6

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

Z = \frac{3.6 - 2.4}{0.8}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

X = 2

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

Z = \frac{2 - 2.4}{0.8}

Z = -0.5

Z = -0.5 has a pvalue of 0.3075

0.9332 - 0.3075 = 0.6257

62.57% of the sample watches between 2 hours and 3.6 hours of crime shows a week

7 0
3 years ago
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