Interpreting Z-Scores Page 2
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4STA 2e: Sect. 3.2 Worksheet # 1 p.2
18. Maria made 75% on her Government test and 83% on her Algebra 2 test. The mean grade on the
Government test was 72% with a standard deviation of 5%. The average grade on the Algebra 2 test was
81% with a standard deviation of 4%. On which test did Maria do better? Justify your answer.
19. For a standard normal distribution, the mean µ is always ……… and the standard deviation σ is
always ……….
For #20 – 25: Use Table A (Standard Normal Distribution) to find the proportion of observations that
satisfies each of the following statements. In each case, shade the area under the curve that is the
answer to the question.
21.
22.
20.
–3
–2
–3
–2
–3
–1
0
–1
0
–2
–1
1
2
1
2
0
1
3
3
2
3
z is greater than 2.18
z is less than 0.33
z is less than –1.83
……………
……………
……………
23.
24.
25.
–3
–2
–1
0
1
–3
–2
2
–1
–3
3
0
1
–2
–1
2
3
0
1
2
3
z is between 1.42 and 2.68
z is greater than –0.51
z is between –2 and 1.53
……………
……………
……………
For #26 – 28: Find the value of z from the standard normal distribution that satisfies each of the
following conditions. (Use the value of z from Table A that comes closest to satisfying the condition.)
26.
27.
28.
Area is
0.5035
Area is
0.2981
Area is
0.0630
z
z
–z
z
z = …………
z = …………
z = …………
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