In: Statistics and Probability
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" rules for
degrees of freedom.)
d.f. = | |
t-calculated = | |
p-value = | |
t-critical = | |
(a-2) Based on the above data choose the correct
decision.
Do not reject the null hypothesis
Reject the null hypothesis
(b-1) Comparison of average commute miles for
randomly chosen students at two community colleges:
x¯1x¯1 = 25, s1 = 5, n1 =
22, x¯2x¯2 = 33, s2 = 7, n2
= 19, α = .05, two-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" rules for
degrees of freedom.)
d.f. = | |
t-calculated = | |
p-value = | |
t-critical = | +/- |
(b-2) Based on the above data choose the correct
decision.
Reject the null hypothesis
Do not reject the null hypothesis
(c-1) Comparison of credits at time of graduation
for randomly chosen accounting and economics students:
x¯1x¯1 = 150, s1 = 2.8, n1
= 12, x¯2x¯2 = 143, s2 = 2.7,
n2 = 17, α = .05, right-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" rules for
degrees of freedom.)
d.f. = | |
t-calculated = | |
p-value = | |
t-critical = | |
(c-2) Based on the above data choose the correct
decision.
Reject the null hypothesis
Do not reject the null hypothesis