A psychologist would like to examine the effects of diet on intelligence. Two groups of rats are selected, with 12 rats in each group. One group is fed the regular diet of RAT CHOW, whereas the second group has their diet enhanced by the addition of special vitamins. After 6 months, each rat is tested on a discrimination task. The psychologist records the number of errors made by each rat before it solves the problem. The data from this experiment is as follows: DietµσScoreRegular diet11.581.912Special8.251.3515 Change each rat’s score to its z-score equivalentOn which diet did the rat score in the highest position?On which diet did the rats score in the lowest position?What is the percentile rank of the rat’s error on a special?What percentage of the rats who had the regular diet scored higher than the score?Between what two scores on special diet did the middle 95% of rats lie?What percent of rats had scores between X = 9 and X = 17 on regular?

Note: According to Bartleby expert guidelines, we can answer only first question with their three…

Answered: Change each rat’s score to its z-score…

Change each rat’s score to its z-score equivalent On which diet did the rat score in the highest position? On which diet did the rats score in the lowest position?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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Question

A psychologist would like to examine the effects of diet on intelligence. Two groups of rats are selected, with 12 rats in each group. One group is fed the regular diet of RAT CHOW, whereas the second group has their diet enhanced by the addition of special vitamins. After 6 months, each rat is tested on a discrimination task. The psychologist records the number of errors made by each rat before it solves the problem. The data from this experiment is as follows:

Diet

µ

σ

Score

Regular diet

11.58

1.9

12

Special

8.25

1.35

15