Consider the population of history scores for a classcomprising 5 students A, B, C, D and, E. The marks areas follows:StudentAВCD EScore7078808095(a) List the 10 possible samples of 3 from the 5students, A, B, C, D and E.(b) Find the sample mean for each of the 10 samples.(c) Find the mean of the 10 sample means.Question 2Assume that a human pregnancy has a population meanof 280 days and a population standard deviation of 8days. Determine the following probabilities:(a) The probability that one randomly chosen pregnantwoman exceeds 284 days before giving birth.(b) We take a random sample of n = 5 pregnant women.Find the probability that the mean number of days forthis group of 5 women exceeds 284 days.(c) Compare your answers for parts a) and b). Why arethey different?(d) What was the value of the standard error for part a)?For part (b)? Why are these different?Question 3 9:111at was the value of the standard errorea)?1(b)? Why are these different?Question 3In a random sample of forty-eight 200-metre swims hasa mean time of 3.12 minutes and a standard deviation of0.09 minutes.(a) Construct the 89% confidence interval for thepopulation mean time.(b) If all the other quantities remain the same, how doesthe indicated change affect the width of the confidenceinterval?(i) Increase in the sample size(ii) Increase in the level of confidence.Question 4In a sample of 400 shops it was discovered that 136 ofthem sold carpets at below the list prices, which hadbeen recommended by manufacturers.(a)Estimate the percentage of all carpet sellingshops below list price.(b)Calculate the 95% confidence limits for thisestimate.Separate groups: 11 - Duhasser AndersonAdd a new discussion topic(There are no discussion topics yet in this forum)

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Answered: (a) List the 10 possible samples of 3…

(a) List the 10 possible samples of 3 from the 5 students, A, B, C, D and E. (b) Find the sample mean for each of the 10 samples. (c) Find the mean of the 10 sample means.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Consider the population of history scores for a class
comprising 5 students A, B, C, D and, E. The marks are
as follows:
Student
A
В
C
D E
Score
70
78
80
80
95
(a) List the 10 possible samples of 3 from the 5
students, A, B, C, D and E.
(b) Find the sample mean for each of the 10 samples.
(c) Find the mean of the 10 sample means.
Question 2
Assume that a human pregnancy has a population mean
of 280 days and a population standard deviation of 8
days. Determine the following probabilities:
(a) The probability that one randomly chosen pregnant
woman exceeds 284 days before giving birth.
(b) We take a random sample of n = 5 pregnant women.
Find the probability that the mean number of days for
this group of 5 women exceeds 284 days.
(c) Compare your answers for parts a) and b). Why are
they different?
(d) What was the value of the standard error for part a)?
For part (b)? Why are these different?
Question 3

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