We collected a sample of the prices of new homes. the mean of our sample is $250,000, with a standard deviation of $15,000. calculate the z-scores of each of the given prices. determine if the they are usual or unusual. round up each z-score to two decimals.

(a) $200, 000

(b) $155,000

(c) $275,000

(d) $322,000

choose one •

a
-3.33, unusual
-6.33, unusual
1.67, usual
4.80, unusual

b
3.33, usual
6.33, unusual
-1.67, usual
-4.80, unusual

c
-3.33, usual
-6.33, usual
-1.67, unusual
-4.80, usual

d
3.33, unusual
6.33, unusual
1.67, usual
4.80, unusual

275000

C

Two hundred and seventy - five thousand

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.