(1 point) In a test of two population means - μ1μ1 versus μ2μ2 -
with unknown variances σ21σ12 and σ22σ22, two independent samples
of n1=8n1=8 and n2=10n2=10 were taken. The data is given below.
Both populations are normally distributed.
Sample From Population 1: 11, 7, 14, 14, 19, 16, 16, 16 ;
Sample From Population 2: 16, 15, 19, 16, 16, 14, 19, 20, 20,
18
(a) You wish to test the hypothesis that both populations have the
same variance. Choose the correct statistical hypotheses.
A. H0:σ21≠σ22HA:σ21=σ22H0:σ12≠σ22HA:σ12=σ22
B. H0:σ21=σ22HA:σ21≠σ22H0:σ12=σ22HA:σ12≠σ22
C.
H0:σ21=σ22HA:σ21<σ22H0:σ12=σ22HA:σ12<σ22
D. H0:S21=S22HA:S21≠S22H0:S12=S22HA:S12≠S22
E.
H0:σ21=σ22HA:σ21>σ22H0:σ12=σ22HA:σ12>σ22
(b) Determine the value of the test statistic for this test. Use at
least two decimals in your answer.
Test Statistic =
(c) Determine the PP-value for this test, to at least three
decimal places.
P=
(d) Using α=0.05α=0.05, the null hypothesis should ?
rejected. not be rejected. . From this data and this version of the
hypothesis we infer, the variation in Population 1 is
statistically ? greater than less than equal to
different than the variation in Population 2.
B. H0:σ21=σ22HA:σ21≠σ22
b)
| Test statistic =s12/s22 =13.55/5.19 = | 2.61 | |
c)
| P value = | 0.203 |
d) α=0.05, the null hypothesis should not be rejected. . From this data and this version of the hypothesis we infer, the variation in Population 1 is equal to the variation in Population 2.
(1 point) In a test of two population means - μ1μ1 versus μ2μ2 - with unknown...
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