Solve like this pls ————>

Mathematics

1 answer:

Westkost [7]3 years ago

3 0

Answer:

7 - 3 = 4

1 - (-12) = 13

9 + 11 = 20

7 - (-4) = 28

6 × (-3) = -18

(-8) × 9 = -72

5 + (-8) = -40

(-13) -2 = -26

(-13) + (-5) = 65

(-15) × -1 = 16

(-11) -12 = 132

(-9) × 3 = -27

14 + 8 = 22

60 ÷ (-4) = -15

(-4) + (-14) = -18

20 ÷ 5 = 4

(-12) + 8 = -96

6 + 11 = 17

(-14) × 7 = -98

(-12) - 15 = 180

12 × 13 = 156

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Answer:

0.0174 = 1.74% probability that the sample mean would be greater than 101.63 WPM

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 normally distributed samples are 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.

Central Limit Theorem

The Central Limit Theorem estabilishes 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 $s = \frac{\sigma}{\sqrt{n}}$ ;