Find Interquartile Range AND Range.

Mathematics

2 answers:

pav-90 [236]3 years ago

7 0

Answer:

IQR: 20

Range: 52

Step-by-step explanation:

IQR = 88 - 68 = 20

Range = 100 - 48 = 52

Alex_Xolod [135]3 years ago

5 0

(IQR) interquartile range: Upper quartile - Lower quartile = answer

Interquartile range: 88 - 68 = 20

Interquartile range = 20

Range: Highest value - Lowest value = answer

Range: 99 - 48 = 51

Range = 51

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In the United States, 7% of all registered voters belong to the Green party. A random sample of 50 registered voters is taken. U

Maksim231197 [3]

Answer:

The expected value of the sample proportion is of 0.07.

1. P(p < .02) = 0.0823

2. P(p > .15) = 0.0132

3. P(.05 < p < .09) = 0.4176

Step-by-step explanation:

This question is solved using the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use 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

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$