Find the p-value for the hypothesis test. A random sample of size 53 is taken. The sample has a mean of 424 and a standard deviation of 83.
H0: µ = 400
Ha: µ ≠ 400
The p-value for the hypothesis test is ?
Your answer should be rounded to 4 decimal places.
Answer:
P-value = 0.0401
Solution:
We are given
Test is two tailed.
Xbar = 424
S = 83
n = 53
df = n – 1 = 52
Test statistic = t = (Xbar - µ)/[S/sqrt(n)]
t = (424 – 400)/[83/sqrt(53)]
t = 2.1051
P-value = 0.0401
(by using t-table)
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