# statistics

The correct size of a nickel is 21.21 millimeters. Based on that, the data can be summarized into the following table:

Too Small Too Large Total
Low Income 19 21 40
High Income 22 13 35
Total 41 34 75

Q: If 100 children are chosen at random, it would be unusual if more than_______ drew the nickel too small

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1. The expected number would be 41/75 * 100 = 55, but I don't see data that would allow me to estimate a significant difference from that value.

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2. Here is the entire problem I am working on.

The correct size of a nickel is 21.21 millimeters. Based on that, the data can be summarized into the following table:

Too Small Too Large Total
Low Income 19 21 40
High Income 22 13 35
Total 41 34 75

Based on this data: (give your answers to parts a-c as fractions, or decimals to at least 3 decimal places. Give your to part d as a whole number.)

a) The proportion of all children that drew the nickel too small is:

Assume that this proportion is true for ALL children (e.g. that this proportion applies to any group of children), and that the remainder of the questions in this section apply to selections from the population of ALL children.

b) If 5 children are chosen, the probability that exactly 2 would draw the nickel too small is:

c) If 5 children are chosen at random, the probability that at least one would draw the nickel too small is:

d) If 100 children are chosen at random, it would be unusual if more than drew the nickel too small

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