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. 80- 40 30- 60- 20- 40- 10- 0- 20- read write -20 -10 10 20 Differences in scores (read - write) a) Are the reading and writing scores of each student independent of each other or can they be paired? 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? Họ: Select an answer ♥ HA: Select an answer v|? v c) The average observed difference in scores (d = read - write) is ¤d = -0.545, and the standard deviation of the differences is sa = 8.887 points. Do these data provide convincing evidence of a difference between the average scores on the two exams? scores

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Can you please help me out by teaching me how to do this part of this problem. I am very behind on statistics and I'm not sure how to do this part. Thank you in advance for your help. 

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.
80-
40-
30-
60-
20-
40-
10-
20-
read
write
-20
-10
10
20
Differences in scores (read - write)
a) Are the reading and writing scores of each student independent of each other or can they be paired?
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?
Họ: Select an answer V
HA: Select an answer
c) The average observed difference in scores (d = read - write) is īd = -0.545, and the standard deviation
of the differences is sa = 8.887 points. Do these data provide convincing evidence of a difference between
the average scores on the two exams?
scores
Transcribed Image Text: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. 80- 40- 30- 60- 20- 40- 10- 20- read write -20 -10 10 20 Differences in scores (read - write) a) Are the reading and writing scores of each student independent of each other or can they be paired? 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? Họ: Select an answer V HA: Select an answer c) The average observed difference in scores (d = read - write) is īd = -0.545, and the standard deviation of the differences is sa = 8.887 points. Do these data provide convincing evidence of a difference between the average scores on the two exams? scores
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