Answer :
Answer:
Critical z-value = 1.64
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 12
Sample size, n = 11
Alpha, α = 0.05
Population standard deviation, σ = 10.3
First, we design the null and the alternate hypothesis
[tex]H_{0}: \mu \leq 12\\H_A: \mu > 12[/tex]
Since population standard deviation is given, we use one-tailed z test to perform this hypothesis.
Now, [tex]z_{critical} \text{ at 0.05 level of significance } = 1.64[/tex]
Thus, the appropriate critical values is 1.64.
If the calculated z-statistic is greater than the critical value, we fail to accept the null hypothesis and reject it.
If the calculated z-statistic is less than the critical value, we fail to reject the null hypothesis and accept it.