5.20 High School and Beyond, Part I: The National Center of Education Statistics conducted a survey of high school seniors, collecting test data on reading, writing, and several other subjects. Here we examine a simple random sample of 200 students from this survey. Side-by-side box plots of reading and writing scores as well as a histogram of the differences in scores are shown below. (a) Are the reading and writing scores of each student independent of each other? ( )no, they are paired since each student has both a reading score and a writing score ( )yes, they are paired since each student has both a reading score and a writing score ( )yes, because reading and writing are two different activities (b) Create hypotheses appropriate for the following research question: is there an evident difference in the average scores of students in the reading and writing exam? ( )Ho: μdiff = 0 Ha: μdiff ≠ 0 ( )Ho: μdiff = 0 Ha: μdiff < 0 ( )Ho: μdiff = 0 Ha: μdiff > 0 (c) The average observed difference in scores is x̄read - write = -0.545, and the standard deviation of the differences is 8.887 points. Do these data provide convincing evidence of a difference between the average scores on the two exams? The test statistic is:__________ (please round to two decimal places) The p-value is: ( )between .05 and .1 ( )between .01 and .05 ( )less than .01 ( )greater than .1 (please round to four decimal places) The conclusion of the test is: ( )Since p<α we reject the null hypothesis and accept the alternative ( )Since p ≥ α we accept the null hypothesis ( )Since p ≥ α we do not have enough evidence to reject the null hypothesis ( )Since p ≥ α we reject the null hypothesis and accept the alternative ( )Since p<α we fail to reject the null hypothesis

Name: 5.20 High School and Beyond, Part I: The National Center of Education
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Description: 5.20 High School and Beyond, Part I: The National Center of Education Statistics conducted a survey of high school seniors, collecting test data on reading, writing, and several other subjects. Here we examine a simple random sample of 200 students

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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5.20 High School and Beyond, Part I: The National Center of Education Statistics conducted a survey of high school seniors, collecting test data on reading, writing, and several other subjects. Here we examine a simple random sample of 200 students from this survey. Side-by-side box plots of reading and writing scores as well as a histogram of the differences in scores are shown below.

(a) Are the reading and writing scores of each student independent of each other?

( )no, they are paired since each student has both a reading score and a writing score
( )yes, they are paired since each student has both a reading score and a writing score
( )yes, because reading and writing are two different activities

(b) Create hypotheses appropriate for the following research question: is there an evident difference in the average scores of students in the reading and writing exam?

( )Ho: μ_diff = 0
Ha: μ_diff ≠ 0
( )Ho: μ_diff = 0
Ha: μ_diff < 0
( )Ho: μ_diff = 0
Ha: μ_diff > 0

(c) The average observed difference in scores is x̄_{read - write} = -0.545, and the standard deviation of the differences is 8.887 points. Do these data provide convincing evidence of a difference between the average scores on the two exams?

The test statistic is:__________ (please round to two decimal places)

The p-value is:

( )between .05 and .1
( )between .01 and .05
( )less than .01
( )greater than .1

(please round to four decimal places)

The conclusion of the test is:

( )Since p<α we reject the null hypothesis and accept the alternative
( )Since p ≥ α we accept the null hypothesis
( )Since p ≥ α we do not have enough evidence to reject the null hypothesis
( )Since p ≥ α we reject the null hypothesis and accept the alternative
( )Since p<α we fail to reject the null hypothesis

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Differences in scores (read – write)
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