MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Mrs. Harris is studying whether eating breakfast the day of an achievement test produces higher test scores in her 6th grade classroom. The data is shown in the tables below.

Achievement Test Scores: No Breakfast
Student
Score
Student A 248
Student B 277
Student C 245
Student D 256
Student E 255
Student F 279
Student G 281
Student H 265

Achievement Test Scores: After Eating Breakfast
Student
Score
Student J 271
Student K 244
Student L 280
Student M 284
Student N 259
Student P 267
Student R 258
Student S 275

Identify the important pieces of information needed to decide if there is a statistically significant difference in the data sets (null hypothesis, alternative hypothesis, one- or two- tailed test, sample size for each group).
a
The null hypothesis is eating breakfast before an achievement test has no effect on test scores.
The alternative hypothesis is eating breakfast before an achievement test produces higher test scores.
This is a one-tailed study.
The sample size is 16 students total; Group 1 has 8 students, and Group 2 has 8 students.
b
The null hypothesis is eating breakfast before an achievement test produces higher test scores.
The alternative hypothesis is eating breakfast before an achievement test has no effect on test scores.
This is a one-tailed test.
The sample size is 16 students total; Group 1 has 8 students, and Group 2 has 8 students.
c
The null hypothesis is eating breakfast before an achievement test has no effect on test scores.
The alternative hypothesis is eating breakfast before an achievement test produces higher test scores.
This is a two-tailed test.
The sample size is 16 students total; Group 1 has 8 students, and Group 2 has 8 students.
d
The null hypothesis is eating breakfast before an achievement test has no effect on test scores.
The alternative hypothesis is eating breakfast before an achievement test produces higher test scores.
This is a one-tailed test.
The sample size is 8 students total; Group 1 has 4 students, and Group 2 has 4 students.
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