A = {1, 3, 5, 7, 9}

1 answer:

kondor19780726 [428]2 years ago

7 0

The $\cap$ symbol means intersection, so everything that is in both sets, and the $\cup$ symbol means union, so the two sets combined.

$B \cup C = \{1, 2, 4, 5, 6, 7, 8, 9, 10\} = S$
$A \cap S= \{1, 5, 7, 9\}$

So the answer is A.

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Suppose your statistics professor reports test grades as z-scores, and you got a score of 2.49 on an exam. (a) Write a sentenc

Oduvanchick [21]

Answer:

a) A z-score of 2.49 means that your grade was 2.49 standard deviations above the mean of all grades.

b) 1.39% of the class scored lower than your friend.

Step-by-step explanation:

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.

You got a score of 2.49 on an exam.

(a) Write a sentence explaining what that means

A z-score of 2.49 means that your grade was 2.49 standard deviations above the mean of all grades.

(b) Your friend got a z-score of negative 2−2. If the grades satisfy the Nearly Normal Condition, about what percent of the class scored lower than your friend? 

This percentage is the pvalue of $Z = -2.2$