The admission office needs your help to evaluate the following hypothesis: Ho: there is not a significant linear relationship between the two sections Against: HA: there is a significant linear relationship between the two sections 1. What is the calculated F statistics? (round to the nearest hundredth) 2. Evaluate the F calculated and indicate if you are going to reject or fail to reject the null hypothesis using an aλ = 0.05 (reject/fail to reject)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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A given student assessment test contains a Math and an English grammar section. The college admission office is interested
to evaluate if there is any association between students' scores on the math (X) and grammar (Y) section. The score (in
arbitrary units) for both sections were obtained from a random sample of 12 students, and is summarized below:
DATA:
Observation Math section (X) Grammar section (Y)
0.77
1
2
3
4
5
6
7
8
9
10
11
12
0.52
0.86
0.96
1.01
1.19
1.11
1.29
1.32
1.54
1.82
1.88
15.7
16.8
16.3
18.6
17.4
20.5
21.7
23.6
15.7
27
28.3
20.5
Transcribed Image Text:A given student assessment test contains a Math and an English grammar section. The college admission office is interested to evaluate if there is any association between students' scores on the math (X) and grammar (Y) section. The score (in arbitrary units) for both sections were obtained from a random sample of 12 students, and is summarized below: DATA: Observation Math section (X) Grammar section (Y) 0.77 1 2 3 4 5 6 7 8 9 10 11 12 0.52 0.86 0.96 1.01 1.19 1.11 1.29 1.32 1.54 1.82 1.88 15.7 16.8 16.3 18.6 17.4 20.5 21.7 23.6 15.7 27 28.3 20.5
The admission office needs your help to evaluate the following hypothesis:
Ho: there is not a significant linear relationship between the two sections
Against:
HA: there is a significant linear relationship between the two sections
1. What is the calculated F statistics? (round to the nearest hundredth)
2. Evaluate the F calculated and indicate if you are going to reject or fail to reject the null hypothesis using an aλα =
0.05 (reject/fail to reject)
Transcribed Image Text:The admission office needs your help to evaluate the following hypothesis: Ho: there is not a significant linear relationship between the two sections Against: HA: there is a significant linear relationship between the two sections 1. What is the calculated F statistics? (round to the nearest hundredth) 2. Evaluate the F calculated and indicate if you are going to reject or fail to reject the null hypothesis using an aλα = 0.05 (reject/fail to reject)
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