A small school with 60 total students records how many of their students attend school on each of the 180
days in a school year. The mean number of students in attendance daily is 55 students and the standard
deviation is 4 students. Suppose that we take random samples of 5 school days and calculate the mean
number of students ĉ in attendance on those days in each sample.
Calculate the mean and standard deviation of the sampling distribution of

Answers

Answer 1

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]


Related Questions

Choose the sentence below that is correctly punctuated.
A. "No," she said, “I've never seen that movie”.
B. “No” she said, "I've never seen that movie".
C. "No" she said "I've never seen that movie."
D. "No," she said, “I've never seen that movie."

Answers

the correct answer i think its B.
Other Questions
can someone please help I will do anything A dilation has center at the origin. Which of the following is the image of the point P(1.- for a scalefactor ofAD: (P) = P(x3)BD}(P) = P',CD:(P) = P1C-DD}(P) = PG-) Choose a method you prefer to solve for a system of linear equations.2x + 4y = -42x-y=6 If 2x + 5 = 82, then 12x = ?A 5B10C 15D 20 A rectangular room is 11 feet by 14 feet. The ceilings are 9 feet high. If a gallon of paint covers 250 square feet. How many gallons of paint are needed to paint the room? Can someone help me please sentences using the past tense conjugation of the verb IR and SER. can someone help me.?! 12. Which has NOT been linked to acid precipitation? a. Toxic metal poisoning b. Lower blood pH c. Respiratory problems d. Damaged monuments write a short paragraph addressed to the plowman and his master detailing your plan of action. does anyone know how to do this here? Grammar exercise 1: Choose the correct tense from the given options.1. On March 21, 2006, Twitter co-founder Jack Dorsey (write) his first tweet. a.wroteb.was writingc.has writtenGUYSSSSSS HALP I'M STOOPIDD AND I HAVE A TEEESSSTTT WOOOOOO Red Blue Yellow Green What is the probability of a player spinning the color blue and then rolling a 4? A: 1/4B: 1/24C: 1/6D: 1/16 Write an equation for the line that passes through points (2, 0) and (4, 3). What idea is being expressed in this sentence?They carried the wounded hiker down from the mountain pass. PLEASE by your opinion, what are the causes of stress in teenagers nowadays? If you listen to Brent faiyaz, literally bless your soul. Line segment TU has endpoints (-7,10) and (-6,-5). What is the length of TU to the NEAREST TENTH? The measure of an angle is 2.8.what is the measure of its complementary angle _____________happens when these discarded nets continue to "catch" marine lifesuffocating marine mammals such as this endangered Hawaiian monk seal. Question 6 options: Long line fishing Ghost fishing all of the choices Fishing The painting is titled Emigrants Leaving Ireland.A painting titled Emigrants Leaving Ireland. Men, women and children are waving goodbye to a sailing ship.How are the people waving to the departing ship most likely feeling?happiness that their family members have escaped the faminesorrow at being separated from their loved onespleasure that the ship is sailing in good weatheranger that they were not allowed to leave along with the others