In order to test the equality of variances in the yield per
plant of two varieties, two independent random samples, one for
each variety of plants were selected leading to the following
summary results: Variaty Number of Plants Total Yield Sum of
Squares of Yield 1 10 240 5823 2 12 276 6403 Is the claim of
equality of variances supported by the data? Use α = 0.05. Assume
the two populations to be normally distributed. [5 Marks
Independent
Samples Test
Levene's Test for
Equality of Variances
t-test for Equality of
Means
F
Sig.
t
df
Sig. (2-tailed)
F1
Equal variances
assumed
12,130
,151
-1,967
194
,052
Equal variances not
assumed
-2,010
184,290
,046
A researcher thinks that mean value for F1 of the male is bigger
than that of female. (mu1 female, mu2
male)
Write down the hypothesis, p- value and
conclusion.
Describe a scenario where a researcher could use an F-test for
the equality of two variances to answer a research question. Fully
describe the scenario and the variables involved and explain the
rationale for your answer. Why is that test appropriate to use?
Describe a scenario where a researcher could use an F-test for
the equality of two variances to answer a research question. Fully
describe the scenario and the variables involved and explain the
rationale for your answer. Why is that test appropriate to use?
Please do not give answer with ANOVA scenario.
One Hypothesis test is an F test for the equality of the variances of travel Times and the second test is a T-test for the equality of the means of travel times in MINUTES. The F test must be performed first in order to select either Case1 or Case 2 for the T-test as listed in chapter 5. Then perform the Required T-test (either case 1 or 2 depending on your findings of the F-test). Also in the Conclusion...
Do a two-sample test for equality of means assuming unequal
variances. Calculate the p-value using Excel.
(a-1) Comparison of GPA for randomly chosen
college juniors and seniors:
x¯1x¯1 = 4.75, s1 = .20, n1
= 15, x¯2x¯2 = 5.18, s2 = .30,
n2 = 15, α = .025, left-tailed
test.
(Negative values should be indicated by a minus sign. Round
down your d.f. answer to the nearest whole number and
other answers to 4 decimal places. Do not use "quick"...
Do a two-sample test for equality of means assuming unequal
variances. Calculate the p-value using Excel.
(a-1) Comparison of GPA for randomly chosen
college juniors and seniors:
x¯1x¯1 = 4.75, s1 = .20, n1
= 15, x¯2x¯2 = 5.18, s2 = .30,
n2 = 15, α = .025, left-tailed
test.
(Negative values should be indicated by a minus sign. Round
down your d.f. answer to the nearest whole number and
other answers to 4 decimal places. Do not use "quick"...
Do a two-sample test for equality of means assuming unequal
variances. Calculate the p-value using Excel.
(a-1)
Comparison of GPA for randomly chosen college juniors and
seniors:
x⎯⎯1x¯1 = 4, s1 = .20,
n1 = 15, x⎯⎯2x¯2 = 4.25, s2
= .30, n2 = 15, α = .025, left-tailed
test.
(Negative values should be indicated by a minus sign.
Round down your d.f. answer to the nearest whole number
and other answers to 4 decimal places.)
d.f.
t-calculated
...
Do a two-sample test for equality of means assuming unequal
variances. Calculate the p-value using Excel.
(a-1) Comparison of GPA for randomly chosen
college juniors and seniors:
x⎯⎯1x¯1 = 4.05, s1 = .20,
n1 = 15, x⎯⎯2x¯2 = 4.35, s2
= .30, n2 = 15, α = .025, left-tailed
test.
(Negative values should be indicated by a minus sign. Round
down your d.f. answer to the nearest whole number and
other answers to 4 decimal places. Do not use "quick"...
Do a two-sample test for equality of means assuming unequal
variances. Calculate the p-value using Excel.
(a-1) Comparison of GPA for randomly chosen
college juniors and seniors:
x¯1x¯1 = 4, s1 = .20, n1 =
15, x¯2x¯2 = 4.25, s2 = .30,
n2 = 15, α = .025, left-tailed
test.
(Negative values should be indicated by a minus sign. Round
down your d.f. answer to the nearest whole number and
other answers to 4 decimal places. Do not use "quick"...