SOLUTION: H0: μ = 73 HA: μ ≠ 73 Find the p-value for this test based on the following sample information. (You may find it useful to reference the appropriate table: z table or t tab

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Question 1163234: H0: μ = 73
HA: μ ≠ 73
Find the p-value for this test based on the following sample information. (You may find it useful to reference the appropriate table: z table or t table)
1. x¯ = 70; s = 6.4; n = 19
A. 0.05 < or equal to p-value < 0.10
B. p-value < 0.01
C. 0.01 < or equal to p-value < 0.02
D. p-value > or equal to 0.10
E. 0.02 < or equal to p-value < 0.05
2. x¯ = 70; s = 6.4; n = 24
A. p-value < 0.01
B. 0.01 < or equal to p-value < 0.02
C. 0.05 < or equal to p-value < 0.10
D. p-value > or equal to 0.10
E. 0.02 < or equal to p-value < 0.05
Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website!
Using s, this is a t-statistic with df=18
t=(x bar-mean)/s/sqrt(n)
=-3/6.4/sqrt(19)
=-3*sqrt(19)/6.4
=-2.04. But this is doubled since a two way test, and the answer will be
0.05
with n=24 and df=23
t=-2.30
this will make the p-value 0.025 A one way test uses the difference only on one side to the distribution, but a two way requires both sides to be considered.