Consider the hypotheses shown below. Given that x overbar= 48 ,sigma=13 , n=33, alpha=0.10 , complete parts a and b.
Upper H 0: mu less than or=45
Upper H 1: mu greater than 45
a. What conclusion should be drawn?
b. Determine the p-value for this test.
a. The z-test statistic is .
(Round to two decimal places as needed.)
Given that, sample size ( n ) = 33
sample mean = 48
population standard deviation = 13
significance level = 0.10
The null and the alternative hypotheses are,
Test statistic is,
Test statistic is 1.33
p-value = P(Z > 1.33) = 1 - P(Z < 1.33) = 1 - 0.9082= 0.0918
p-value = 0.0918
Here, p-value = 0.0918 <
So, we reject the null hypothesis ( H0).
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