A researcher wishes to test if the variance of scores on a particular exam is the same for college students who work full time as for college students who don't work at all. She samples the scores of 47 students who work full time (group A) and the scores of 40 students who do not work (group B). She attains the following results: Group A: 268.3, 259.2, 121.3, 185.9, 136.8, 220.9, 117.4, 187.8, 174.4, 123.3, 146.7, 171.2, 178.6, 124.7, 142.9, 186.4, 127.9, 189.6, 184.3, 194.1, 70.7, 97.6, 155.6, 105.5, 94.8, 113.6, 25.6, 170, 137.4, 130.3, 63.9, 94.4, 130.9, 159.8, 138.5, 147.4, 131.6, 146.1, 101.7, 106.1, 166.1, 128,7, 182.8, 87.9, 131, 221.4, 212 Group B: 240.8, 143.9, 158.6, 175.6, 144.6, 143.9, 173.4, 173.9, 182.1, 149.2, 159.5, 210.7, 133.7, 105.5, 129.6, 100.6, 48.1, 199, 158.1, 147.4, 158.1, 139.9, 56.8, 164.2, 155.3, 155.3, 170.8, 108.6, 110.9, 106.6, 152.8, 127.5, 142.5, 143.6, 136.1, 113.2, 131.2, 199.3, 184, 127.9 Perform a hypothesis test using a 10% level of significance to test if the variance between the two groups is different. Step 1: State the null and alternative hypotheses. 0² Ho: H₂: =VV1 VV1 OB (So we will be performing a right-tailed VX test.) We will use a(n) F dfA= 46 Y Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of test statistics. ✓ ✓✓distribution with numerator degrees of freedom ✓and denominator degrees of freedom dfB = 39 Step 3: Find the p-value of the test statistic. p-value = 0.093915 Submit Part P(FEV 1.695566 IA = 146.6596 X SA= 2336.781 F= ▼ Part 1 of 4 S 0.093915 =1.695566 IB = 146.57 SB= 1378.171 X Part 3 of 4
A researcher wishes to test if the variance of scores on a particular exam is the same for college students who work full time as for college students who don't work at all. She samples the scores of 47 students who work full time (group A) and the scores of 40 students who do not work (group B). She attains the following results: Group A: 268.3, 259.2, 121.3, 185.9, 136.8, 220.9, 117.4, 187.8, 174.4, 123.3, 146.7, 171.2, 178.6, 124.7, 142.9, 186.4, 127.9, 189.6, 184.3, 194.1, 70.7, 97.6, 155.6, 105.5, 94.8, 113.6, 25.6, 170, 137.4, 130.3, 63.9, 94.4, 130.9, 159.8, 138.5, 147.4, 131.6, 146.1, 101.7, 106.1, 166.1, 128,7, 182.8, 87.9, 131, 221.4, 212 Group B: 240.8, 143.9, 158.6, 175.6, 144.6, 143.9, 173.4, 173.9, 182.1, 149.2, 159.5, 210.7, 133.7, 105.5, 129.6, 100.6, 48.1, 199, 158.1, 147.4, 158.1, 139.9, 56.8, 164.2, 155.3, 155.3, 170.8, 108.6, 110.9, 106.6, 152.8, 127.5, 142.5, 143.6, 136.1, 113.2, 131.2, 199.3, 184, 127.9 Perform a hypothesis test using a 10% level of significance to test if the variance between the two groups is different. Step 1: State the null and alternative hypotheses. 0² Ho: H₂: =VV1 VV1 OB (So we will be performing a right-tailed VX test.) We will use a(n) F dfA= 46 Y Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of test statistics. ✓ ✓✓distribution with numerator degrees of freedom ✓and denominator degrees of freedom dfB = 39 Step 3: Find the p-value of the test statistic. p-value = 0.093915 Submit Part P(FEV 1.695566 IA = 146.6596 X SA= 2336.781 F= ▼ Part 1 of 4 S 0.093915 =1.695566 IB = 146.57 SB= 1378.171 X Part 3 of 4
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A researcher wishes to test if the variance of scores on a particular exam is the same for college
students who work full time as for college students who don't work at all. She samples the scores of
47 students who work full time (group A) and the scores of 40 students who do not work (group B).
She attains the following results:
Group A:
268.3, 259.2, 121.3, 185.9, 136.8, 220.9, 117.4, 187.8, 174.4, 123.3, 146.7, 171.2, 178.6, 124.7, 142.9,
186.4, 127.9, 189.6, 184.3, 194.1, 70.7, 97.6, 155.6, 105.5, 94.8, 113.6, 25.6, 170, 137.4, 130.3, 63.9,
94.4, 130.9, 159.8, 138.5, 147.4, 131.6, 146.1, 101.7, 106.1, 166.1, 128.7, 182.8, 87.9, 131, 221.4, 212
Group B:
240.8, 143.9, 158.6, 175.6, 144.6, 143.9, 173.4, 173.9, 182.1, 149.2, 159.5, 210.7, 133.7, 105.5, 129.6,
100.6, 48.1, 199, 158.1, 147.4, 158.1, 139.9, 56.8, 164.2, 155.3, 155.3, 170.8, 108.6, 110.9, 106.6,
152.8, 127.5, 142.5, 143.6, 136.1, 113.2, 131.2, 199.3, 184, 127.9
Perform a hypothesis test using a 10% level of significance to test if the variance between the two
groups is different.
Step 1: State the null and alternative hypotheses.
0²
Ho:
EVV1
OA
03
(So we will be performing a right-tailed
Ha:
#VV1
We will use a(n) F
dfA =46
Y Part 2 of 4
Step 2: Assuming the null hypothesis is true, determine the features of the distribution of
test statistics.
✓✓distribution with numerator degrees of freedom
✓and denominator degrees of freedom dfB = 39
Step 3: Find the p-value of the test statistic.
p-value = 0.093915
Submit Part
TA146.6596
P(FZVV 1.695566
VX test.)
X
8A = 2336.781 X
F=
▾ Part 1 of 4
B
E 1.695566
0.093915 X
IB= 146.57
SB= 1378.171 X
Part 3 of 41
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