(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.
(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
Problem 1P
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Question

Transcribed Image Text: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

Transcribed Image Text:9:111
at was the value of the standard error
ea)?
1
(b)? Why are these different?
Question 3
In a random sample of forty-eight 200-metre swims has
a mean time of 3.12 minutes and a standard deviation of
0.09 minutes.
(a) Construct the 89% confidence interval for the
population mean time.
(b) If all the other quantities remain the same, how does
the indicated change affect the width of the confidence
interval?
(i) Increase in the sample size
(ii) Increase in the level of confidence.
Question 4
In a sample of 400 shops it was discovered that 136 of
them sold carpets at below the list prices, which had
been recommended by manufacturers.
(a)
Estimate the percentage of all carpet selling
shops below list price.
(b)
Calculate the 95% confidence limits for this
estimate.
Separate groups: 11 - Duhasser Anderson
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