Transform each test score to a z-score


H
Asked by 4 years ago
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

2 Answers

Answered by 4 years ago
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
Answered by 3 years ago
0 points

Oh Snap! This Answer is Locked

Transform each test score to a z-score

Thumbnail of first page

Excerpt from file: Runninghead:CHANGINGROLEOFHOSPITALITYIT ChangingRoleofHospitalityIT Name UniversityofPhoenix 1 CHANGINGROLEOFHOSPITALITYIT 2 Abstract Inthispapertheroleofinformationtechnologyintheretailenvironmentisdescribed.The impactthattechnologicaladvanceshashadontheretailbusinessanditscustomersasawholeis...

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

Filesize: < 2 MB

Downloads: 0

Print Length: 6 Pages/Slides

Words: NA

Your Answer

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.

Sign up or Log in

  • Answer the question above my logging into the following networks
Sign in
Sign in
Sign in

Post as a guest

  • Your email will not be shared or posted anywhere on our site
  •  

Stats
Views: 51
Asked: 4 years ago

Related