Transform each test score to a z-score

H
200 points

The mean for statistics test scores is 65 and the standard deviation is 7.0. For the biology test scores, the mean is 22 and the standard deviation is 3.8. The test scores of a student who took both tests are given below.

A student gets a 75 on the statistics test and a 24 on the biology test.

(a) Transform each test score to a z-score.

(b) Determine on which test the student had a better score.

Transform each
hartley

380.4k points

A z-score is given by the formula,

$$z = \frac{x-\mu}{\sigma}$$

a.

statistics: $z=(75-65)/7.0 \approx 1.43$

biology: $z=(24-22)/3.8 \approx 0.53$

b.

the student had a better score on the statistics test because their z-score is higher. Another way of thinking is they scored higher on the bell curve, or farther above the mean than the biology test.

Z
0 points

Oh Snap! This Answer is Locked

Thumbnail of first page

Filename: BIS 303 Week 2 Changing Role of Hospitality IT.docx

Filesize: < 2 MB

Print Length: 6 Pages/Slides

Words: NA

Surround your text in *italics* or **bold**, to write a math equation use, for example, $x^2+2x+1=0$ or $$\beta^2-1=0$$

Use LaTeX to type formulas and markdown to format text. See example.