The one-sample t statistic for testing H0: μ = 40 Ha: μ ≠ 40 from a sample of n = 13 observations has the value t = 2.77.
(a) What are the degrees of freedom for t?
(b) Locate the two critical values t* from the Table D that bracket t. < t <
(c) Between what two values does the P-value of the test fall?
0.005 < P < 0.01
0.01 < P < 0.02
0.02 < P < 0.04
0.04 < P < 0.05
0.05 < P < 0.1
(d) Is the value t = 2.77 statistically significant at the 5% level?
Yes
No Is it significant at the 1% level?
Yes
No
(e) If you have software available, find the exact P-value. (Round your answer to four decimal places.)
Given :-
n= 13,
t = 2.77
a)
Degree of freedom (df) = n-1 = 13-1 =12
b)
At alpha=5% then critical value is, t* = 2.179
c)
p-value = 0.0170
0.01 < p < 0.02
d)
Yes, at 5% level is significantly difference.
No, at 1% level is not significantly difference.
e)
At 5% level then p-value = =TDIST(2.77,12,2) = 0.0170
The one-sample t statistic for testing H0: μ = 40 Ha: μ ≠ 40 from a...
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