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Answer:
H0: μ ≤ 34
H1: μ > 34
The z-test statistic is ≈ 1.8
The critical z-score is 1.28
we fail to reject the null hypothesis H0: μ ≤ 34
Step-by-step explanation:
H0: μ ≤ 34
H1: μ > 34
The z-test statistic is calculated using the formula:
z= where
- X is the average class size found in the sample (35.6)
- M is the mean according to the null hypothesis (34)
- s is the standard deviation for class size (9)
then z= ≈ 0.18
The critical z-score is 1.28 for α=0.10 (one tailed)
Because the test statistic is less than the critical value, do not reject the null hypothesis.
Given function:
To find:
The input if the output is 32.
The output if the input is 4.
Solution:
Input is x and output is c.
Substitute c = 32 in f(x).
Divide by 4 on both sides, we get
Taking cube root on both sides.
The input is 2 if the output is 32.
Substitute x = 4 in f(x).
The output is 256 if the input is 4.