Answer:
The answer is below
Explanation:
Given that the mean of the attendance of the population (μ) = 55 students, and the standard deviation (σ) = 55 students
If repeated random samples of a given size n are taken from a population with a population mean of μ and the population standard deviation of σ, then the mean of the sample distribution ([tex]\mu_x[/tex]) is population mean μ, while the standard deviation of the sample distribution ([tex]\sigma_x[/tex]) is the population standard deviation divided by the square root of the sample size.
Given a random sample (n) of 5 days, hence:
mean of sampling distribution ([tex]\mu_x[/tex]) = μ = 55 students
standard deviation of the sampling distribution = [tex]\sigma_x[/tex] = [tex]\frac{\sigma}{\sqrt{n} }=\frac{4}{\sqrt{5} } =1.79[/tex]
