Question

A small school with 60 total students records how many of their students attend on each of the 180 days in a school year. the main number of students in attendance daily is 55 students and the standard deviation is 4 students. suppose we take a random sample of five School days and calculate the mean number of students in attendance on those days in each sample

Answer 1

Answer: Mean = μₓ = 55.0 students

Standard Deviation = 1.8 students.

Explanation:

Answer 2

For the sampling distribution,

a) Mean = μₓ = 55.0 students.

b) Standard Deviation = 1.8 students.

Explanation:

The complete Question is attached to this solution.

The Central limit theorem explains that for the sampling distribution, the mean is approximately equal to the population mean and the standard deviation of the sampling distribution is related to the population standard deviation through

σₓ = (σ/√n)

where σ = population standard deviation = 4

n = sample size = 5

Mean = population mean

μₓ = μ = 55 students.

Standard deviation

σₓ = (σ/√n) = (4/√5) = 1.789 students = 1.8 students to 1 d.p

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