Question

How many pairs of shoes do teenagers have? To find out, a group of AP ® Statistics students conducted a survey. They selected a random sample of 20 female students and a separate random sample of 20 male students from their school. Then they recorded the number of pairs of shoes that each student reported having. The data is given in the table.

Let 1 the true mean number of pairs of shoes that male students at the school have and 2 the true mean number of pairs of shoes that female students at the school have.

Answer 1

The pairs of shoes is an illustration of the point estimate of the population mean.

The teenagers have 30 pairs of shoes

How to determine the number of pair of shoes?

The question is incomplete, as the dataset to determine the number of shoes is not given.

To answer the question, I will use the following dataset

50 26 26 31 57 19 24 22 23 38 13 50 13 34 23 30 49 13 15 51

The sample mean is an estimate of the population mean.

The sample mean is calculated as:

$\bar x = \frac{\sum x}{n}$

So, we have:

$\bar x = \frac{50 +26+ 26+ 31+ 57 +19 +24 +22+ 23 +38 +13 +50 +13 +34+ 23+ 30 +49 +13 +15+ 51}{20}$

Evaluate the sum

$\bar x = \frac{607}{20}$

Evaluate the quotient

$\bar x = 30.35$

Approximate

$\bar x = 30$

Using the assumed values, the teenagers have 30 pairs of shoes

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