**Simple Random Sampling in Statistics**In statistics, **simple random sampling** involves selecting a subset of individuals from a larger population. The sample size (n) is drawn from a population of size (N). The objective is to obtain data that can be used to make inferences about the characteristics of the entire population.**Example Scenario:**Consider a population of 55 bank accounts. Our goal is to take a random sample of six (6) accounts to study the population characteristics.**Question:**How many different random samples of six accounts can be possible from this population?---**Solution:**To determine the number of different possible samples, we use the **combination formula**:\[ \binom{N}{n} = \frac{N!}{n!(N-n)!} \]In this scenario:- \( N = 55 \)- \( n = 6 \)Plugging in the values, we calculate:\[ \binom{55}{6} = \frac{55!}{6!(55-6)!} = \frac{55!}{6! \cdot 49!} \]By calculating this value, we obtain the number of different possible random samples of six accounts that can be selected from a population of 55 bank accounts.

A population of 55 bank accounts were considered, a random sample of six accounts in order to learn…

Answered: Simple random sampling uses a sample of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Max would like to know whether there is community interest in having local musicians perform music in the park in the evenings during the summer. Max goes to the park for several evenings in a row and asks people entering the park whether they would like to hear music in the evening. Out of the 200 people he surveys, 58% respond favorably. This scenario is describing what type of sampling? (A) Simple random sampling (B) Volunteer sampling (C) Convenience sampling (D) Cluster sampling (E) Stratified sampling
A coach is interested in how many slam dunks the average college freshman at his university can do. Ten volunteers from the senior class step forward. After observing their performance, the coach concluded that college seniors can do an average of 10 slam dunks in a row without missing. what is the sample? what is the population?
Generate 10000 instances of a poisson (10) random variable and then compute the sample mean, sample variance, and sample standard deviation.
2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:
From a population of 300 you are going to select 50. Using the systematic sampling technique where 5 is the random start, what is the 4th sample unit?
The first unit of the sample is selected at random and then each subsequent unit is picked at a fixed from the previous unit selected in the sample. What sampling technique is this?
Explain the difference between a stratified sample and a cluster sample. (Select all that apply.) In a stratified sample, random samples from each strata are included In a stratified sample, every sample of size n has an equal chance of being included. In a stratified sample, the clusters to be included are selected at random and then all members of each selected cluster are included In a cluster sample, every sample of size n has an equal chance of being included. In a stratified sample, the only samples possible are those including every kth item from the random starting position In a cluster sample, the only samples possible are those including every kth item from the random starting position In a cluster sample, the clusters to be included are selected at random and then all members of each selected cluster are included. In a cluster sample, random les from each strata are included.
Simple random sampling uses a sample of size n from a populaiton of size N to obtain data that can be used to make inferences about the characteristics of a population. Suppose that, from a population of 50 bank accounts, we want to take a random sample of four accounts in order to learn about the population. how many different random samples of four accounts are possible? Show steps in Excel
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