Determine the critical t-scores for each of the conditions below.
a) |
one-tail test,
alphaαequals=0.01, andnequals=38 |
b) |
one-tail test,
alphaαequals=0.005, andnequals=10 |
c) |
two-tail test,
alphaαequals=0.05 andnequals=25 |
d) |
two-tail test,
alphaα=0.10 andn=13 |
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a) The critical t-score(s) for a one-tail test, where
alphaα=0.01,
and
n=38
is(are)
nothing.
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
b) The critical t-score(s) for a one-tail test, where
alphaα=0.005
and
n=10
is(are)
nothing.
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
c) The critical t-score(s) for a two-tail test, where
alphaα=0.05,
and
n=2
is(are)
nothing.
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
d) The critical t-score(s) for a two-tail test, where
alphaαequals=0.10
and
n=13
is(are)
nothing.
(Round to three decimal places as needed. Use a comma to separate answ
Solution :
Given that,
(a)
sample size = n = 38
Degrees of freedom = df = n - 1 = 38 - 1 = 37
= 0.01
t_{ ,df} = t _{0.01,37} = 2.431
critical t score = 2.431
(b)
sample size = n = 10
Degrees of freedom = df = n - 1 = 10 - 1 = 9
= 0.005
t_{ ,df} = t _{0.005,9} = 3.250
critical t score = 3.250
(c)
sample size = n = 2
Degrees of freedom = df = n - 1 = 2 - 1 = 1
= 0.05
/ 2 = 0.05 / 2 = 0.025
t_{/2 ,df} = t _{0.025,1} = -/+12.706
critical t score = -12.706 , +12.706
(d)
sample size = n = 13
Degrees of freedom = df = n - 1 = 13 - 1 = 12
= 0.10
/ 2 = 0.10 / 2 = 0.05
t_{/2 ,df} = t _{0.05,12} = -/+1.782
critical t score = -1.782 , +1.782
Determine the critical t-scores for each of the conditions below. a) one-tail test, alphaαequals=0.01, and nequals=38...
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