Consider the hypotheses shown below. Given that x overbar =50, σ=11, n=36, α=0.01, complete parts a...
Consider the hypotheses shown below. Given that
x overbar =50, σ=11, n=36, α=0.01, complete parts a and b.
H0: mu greater than or equal to 47
H1: mu less than or equal to 47
a. What conclusion should be drawn?
b. Determine the p-value for this test.
Homework Answers
To Test :-
H0 :- µ > 47
H1 :- µ <= 47
Part a)
Test Statistic :-
Z = ( X - µ ) / ( σ / √(n))
Z = ( 50 - 47 ) / ( 11 / √( 36 ))
Z = 1.64
Test Criteria :-
Reject null hypothesis if Z < -Z(α)
Critical value Z(α) = Z(0.01) = 2.326
Z > -Z(α) = 1.64 > -2.326
Result :- Fail to reject null hypothesis
Part b)
P value = P ( Z < 1.6364 ) = 0.9491
Looking for the value Z = 1.64 in standard normal table to find the P value.
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