EBK BUSINESS MATH
11th Edition
ISBN: 8220103632072
Author: NOBLE
Publisher: Pearson Education (US)
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Chapter 7.2, Problem 11SE
(a)
To determine
To calculate: The mean rounded to the nearest dollar for the salaries of research and development department of Richman chemicals where the salaries of the departments are $48397, $27982, $42591, $19522, $32400 and $37582.
(b)
To determine
To calculate: The median for the salaries of research and development department of Richman chemicals where the salaries of the departments are $48397, $27982, $42591, $19522, $32400 and $37582.
(c)
To determine
The mode for the salaries of research and development department where the salaries of the departments are $48397, $27982, $42591, $19522, $32400 and $37582.
(d)
To determine
A statistical interpretation based on the mean median and mode for the salaries of research and development department where the salaries of the departments are $48397, $27982, $42591, $19522, $32400 and $37582.
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3. (i) Consider the following R code:
wilcox.test(UK Supermarkets $Salary ~ UKSupermarkets $Supermarket)
(a) Which test is being used in this code?
(b) What is the name of the dataset under consideration?
How would be adapt this code if we had ties? What other command
can be used which deals with ties?
(ii) Consider the following R code:
install packages("nortest")
library(nortest)
lillie.test (Differences)
(a) Assuming the appropriate dataset has been imported and attached,
what is wrong with this code?
(b) If this code were to be corrected, what would be determined by run-
ning it?
[3 Marks]
1. (i) Give the definition of a metric on a set X.
[5 Marks]
(ii) Let X = {a, b, c} and let a function d : XxX → [0, ∞) be defined
as d(a, a) = d(b,b) = d(c, c) 0, d(a, c) = d(c, a) 1, d(a, b) = d(b, a) = 4,
d(b, c) = d(c,b) = 2. Decide whether d is a metric on X. Justify your answer.
=
(iii) Consider a metric space (R, d.), where
=
[10 Marks]
0
if x = y,
d* (x, y)
5
if xy.
In the metric space (R, d*), describe:
(a) open ball B2(0) of radius 2 centred at 0;
(b) closed ball B5(0) of radius 5 centred at 0;
(c) sphere S10 (0) of radius 10 centred at 0.
[5 Marks]
[5 Marks]
[5 Marks]
(c) sphere S10 (0) of radius 10 centred at 0.
[5 Marks]
2. Let C([a, b]) be the metric space of continuous functions on the interval
[a, b] with the metric
doo (f,g)
=
max f(x)g(x)|.
xЄ[a,b]
= 1x. Find:
Let f(x) = 1 - x² and g(x):
(i) do(f, g) in C'([0, 1]);
(ii) do(f,g) in C([−1, 1]).
[20 Marks]
[20 Marks]
Chapter 7 Solutions
EBK BUSINESS MATH
Ch. 7.1 - Prob. 1-1SCCh. 7.1 - Prob. 1-2SCCh. 7.1 - Prob. 1-3SCCh. 7.1 - Prob. 1-4SCCh. 7.1 - Prob. 1-5SCCh. 7.1 - Prob. 2-1SCCh. 7.1 - Prob. 2-2SCCh. 7.1 - Prob. 2-3SCCh. 7.1 - Prob. 2-4SCCh. 7.1 - Prob. 2-5SC
Ch. 7.1 - Prob. 3-1SCCh. 7.1 - Prob. 3-2SCCh. 7.1 - Prob. 3-3SCCh. 7.1 - Prob. 3-4SCCh. 7.1 - Prob. 1SECh. 7.1 - Prob. 2SECh. 7.1 - Prob. 3SECh. 7.1 - Prob. 4SECh. 7.1 - Prob. 5SECh. 7.1 - Prob. 6SECh. 7.1 - Prob. 7SECh. 7.1 - Prob. 8SECh. 7.1 - Prob. 9SECh. 7.1 - Prob. 10SECh. 7.1 - Prob. 11SECh. 7.1 - Prob. 12SECh. 7.1 - Prob. 13SECh. 7.1 - Prob. 14SECh. 7.1 - Prob. 15SECh. 7.1 - Prob. 16SECh. 7.1 - Prob. 17SECh. 7.1 - Prob. 18SECh. 7.1 - Prob. 19SECh. 7.1 - Prob. 20SECh. 7.1 - Prob. 21SECh. 7.2 - Prob. 1-1SCCh. 7.2 - Prob. 1-2SCCh. 7.2 - Prob. 1-3SCCh. 7.2 - Prob. 1-4SCCh. 7.2 - Prob. 1-5SCCh. 7.2 - Prob. 1-6SCCh. 7.2 - Prob. 2-1SCCh. 7.2 - Prob. 2-2SCCh. 7.2 - Prob. 2-3SCCh. 7.2 - Prob. 2-4SCCh. 7.2 - Prob. 2-5SCCh. 7.2 - Prob. 2-6SCCh. 7.2 - Prob. 3-1SCCh. 7.2 - Prob. 3-2SCCh. 7.2 - Prob. 3-3SCCh. 7.2 - Prob. 3-4SCCh. 7.2 - Prob. 3-5SCCh. 7.2 - Prob. 3-6SCCh. 7.2 - Prob. 4-1SCCh. 7.2 - Prob. 4-2SCCh. 7.2 - Prob. 4-3SCCh. 7.2 - Prob. 4-4SCCh. 7.2 - Prob. 4-5SCCh. 7.2 - Prob. 4-6SCCh. 7.2 - Prob. 5-1SCCh. 7.2 - Prob. 5-2SCCh. 7.2 - Prob. 5-3SCCh. 7.2 - Prob. 1SECh. 7.2 - Prob. 2SECh. 7.2 - Prob. 3SECh. 7.2 - Prob. 4SECh. 7.2 - Prob. 5SECh. 7.2 - Prob. 6SECh. 7.2 - Prob. 7SECh. 7.2 - Prob. 8SECh. 7.2 - Prob. 9SECh. 7.2 - Prob. 10SECh. 7.2 - Prob. 11SECh. 7.2 - Prob. 12SECh. 7.2 - Prob. 13SECh. 7.2 - Prob. 14SECh. 7.2 - Prob. 15SECh. 7.2 - Prob. 16SECh. 7.2 - Prob. 17SECh. 7.2 - Prob. 18SECh. 7.2 - Prob. 19SECh. 7.2 - Prob. 20SECh. 7.3 - Prob. 1-1SCCh. 7.3 - Prob. 1-2SCCh. 7.3 - Prob. 1-3SCCh. 7.3 - Prob. 1-4SCCh. 7.3 - Prob. 1-5SCCh. 7.3 - Prob. 1-6SCCh. 7.3 - Prob. 2-1SCCh. 7.3 - Prob. 2-2SCCh. 7.3 - Prob. 2-3SCCh. 7.3 - Prob. 2-4SCCh. 7.3 - Prob. 2-5SCCh. 7.3 - Prob. 2-6SCCh. 7.3 - Prob. 1SECh. 7.3 - Prob. 2SECh. 7.3 - Prob. 3SECh. 7.3 - Prob. 4SECh. 7.3 - Prob. 5SECh. 7.3 - Prob. 6SECh. 7.3 - Prob. 7SECh. 7.3 - Prob. 8SECh. 7.3 - Prob. 9SECh. 7.3 - Prob. 10SECh. 7.3 - Prob. 11SECh. 7.3 - Prob. 12SECh. 7.3 - Prob. 13SECh. 7.3 - Prob. 14SECh. 7 - Prob. 1ESCh. 7 - Prob. 2ESCh. 7 - Prob. 3ESCh. 7 - Prob. 4ESCh. 7 - Prob. 5ESCh. 7 - Prob. 6ESCh. 7 - Prob. 7ESCh. 7 - Prob. 8ESCh. 7 - Prob. 9ESCh. 7 - Prob. 10ESCh. 7 - Prob. 11ESCh. 7 - Prob. 12ESCh. 7 - Prob. 13ESCh. 7 - Prob. 14ESCh. 7 - Prob. 15ESCh. 7 - Prob. 16ESCh. 7 - Prob. 17ESCh. 7 - Prob. 18ESCh. 7 - Prob. 19ESCh. 7 - Prob. 20ESCh. 7 - Prob. 21ESCh. 7 - Prob. 22ESCh. 7 - Prob. 23ESCh. 7 - Prob. 24ESCh. 7 - Prob. 25ESCh. 7 - Prob. 26ESCh. 7 - Prob. 27ESCh. 7 - Prob. 28ESCh. 7 - Prob. 29ESCh. 7 - Prob. 30ESCh. 7 - Prob. 31ESCh. 7 - Prob. 32ESCh. 7 - Prob. 33ESCh. 7 - Prob. 34ESCh. 7 - Prob. 35ESCh. 7 - Prob. 36ESCh. 7 - Prob. 37ESCh. 7 - Prob. 38ESCh. 7 - Prob. 39ESCh. 7 - Prob. 40ESCh. 7 - Prob. 41ESCh. 7 - Prob. 42ESCh. 7 - Prob. 43ESCh. 7 - Prob. 44ESCh. 7 - Prob. 45ESCh. 7 - Prob. 46ESCh. 7 - Prob. 47ESCh. 7 - Prob. 48ESCh. 7 - Prob. 49ESCh. 7 - Prob. 50ESCh. 7 - Prob. 51ESCh. 7 - Prob. 1PTCh. 7 - Prob. 2PTCh. 7 - Prob. 3PTCh. 7 - Prob. 4PTCh. 7 - Prob. 5PTCh. 7 - Prob. 6PTCh. 7 - Prob. 7PTCh. 7 - Prob. 8PTCh. 7 - Prob. 9PTCh. 7 - Prob. 10PTCh. 7 - Prob. 11PTCh. 7 - Prob. 12PTCh. 7 - Prob. 13PTCh. 7 - Prob. 14PTCh. 7 - Prob. 15PTCh. 7 - Prob. 1CTCh. 7 - Prob. 2CTCh. 7 - Prob. 3CTCh. 7 - Prob. 4CTCh. 7 - Prob. 5CTCh. 7 - Prob. 6CTCh. 7 - Prob. 7CTCh. 7 - Prob. 8CTCh. 7 - Prob. 9CTCh. 7 - Prob. 10CTCh. 7 - Prob. 11CTCh. 7 - Prob. 1CPCh. 7 - Prob. 2CPCh. 7 - Prob. 1CS1Ch. 7 - Prob. 2CS1Ch. 7 - Prob. 3CS1Ch. 7 - Prob. 4CS1Ch. 7 - Prob. 5CS1Ch. 7 - Prob. 1CS2Ch. 7 - Prob. 2CS2Ch. 7 - Prob. 3CS2Ch. 7 - Prob. 4CS2
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