Holooly Plus Logo

Question 3.27: Test Scores A student scored 85 on an English test while the......

Test Scores

A student scored 85 on an English test while the mean score of all the students was 76 and the standard deviation was 4. She also scored 42 on a French test where the class mean was 36 and the standard deviation was 3. Compare the relative positions on the two tests.

Step-by-Step
The 'Blue Check Mark' means that this solution was answered by an expert.
Learn more on how do we answer questions.

First find the \mathrm{z} scores. For the English test

z=\frac{X-\bar{X}}{s}=\frac{85-76}{4}=2.25

For the French test

z=\frac{X-\bar{X}}{s}=\frac{42-36}{3}=2.00

Since the z score for the English test is higher than the z score for the French test, her relative position in the English class is higher than her relative position in the French class.

Related Answered Questions

Question: 3.36

Verified Answer:

The data value 50 is extremely suspect. These are ...
Question: 3.35

Verified Answer:

Find Q_1 and Q_3. Th...
Question: 3.34

Verified Answer:

Step 1 Arrange the data in order from lowest to hi...
Question: 3.33

Verified Answer:

Step 1 Arrange the data in order from lowest to hi...
Question: 3.32

Verified Answer:

Step 1 Arrange the data in order from lowest to hi...
Question: 3.31

Verified Answer:

There are 8 values below 24; thus, Percentile = [l...