Answer: .
Step-by-step explanation:
Given : Sample size : n= 64 , the sample is a large sample (n>30), so we can apply z-test.
Sample mean =
Standard deviation :
Level of confidence:
Then, critical z-value =
The confidence interval to estimate the population mean is given by :_
Hence, the 95% confidence interval to estimate the population mean can be computed as .
Using permutations and the probability concept, it is found that there is a 0.0417 = 4.17% probability that Nia is chosen as president.
Permutation formula:
The number of possible permutations of x elements from a set of n elements is given by:
Desired outcomes:
Total outcomes:
4 students from a set of 24, hence:
Then:
0.0417 = 4.17% probability that Nia is chosen as president.
To learn more about probabilities, you can take a look at brainly.com/question/24437717