Business Math (11th Edition)
11th Edition
ISBN: 9780134496436
Author: Cheryl Cleaves, Margie Hobbs, Jeffrey Noble
Publisher: PEARSON
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Chapter 9.1, Problem 10SE
To determine
To calculate: The selling price if the cost of the case of photocopier paper is
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3.
Consider the sequences of functions f₁: [-π, π] → R,
sin(n²x)
An(2)
n
f pointwise as
(i) Find a function ƒ : [-T,π] → R such that fn
n∞. Further, show that fn →f uniformly on [-π,π] as n → ∞.
[20 Marks]
(ii) Does the sequence of derivatives f(x) has a pointwise limit on [-7, 7]?
Justify your answer.
[10 Marks]
Can you prove this integral equation?Note: It also has an application to prove that 22/7 > π.
2. An experiment is set up to test the effectiveness of a new drug for balancing
people's mood. The table below contains the results of the patients before and
after taking the drug. The possible scores are the integers from 0 to 10, where
0 indicates a depressed mood and 10 indicates and elated mood.
Patient Before
After
1
4
4
2
3
3
3
6
4
4
1
2
5
6
5
6
1
3
7
4
7
8
6
9
1
4
10
5
4
Assuming the differences of the observations to be symmetric, but not normally
distributed, investigate the effectiveness of the drug at the 5% significance level.
[4 Marks]
Chapter 9 Solutions
Business Math (11th Edition)
Ch. 9.1 - Prob. 1-1SCCh. 9.1 - Prob. 1-2SCCh. 9.1 - Prob. 1-3SCCh. 9.1 - Prob. 1-4SCCh. 9.1 - Prob. 2-1SCCh. 9.1 - Prob. 2-2SCCh. 9.1 - Prob. 2-3SCCh. 9.1 - Prob. 2-4SCCh. 9.1 - Prob. 2-5SCCh. 9.1 - Prob. 2-6SC
Ch. 9.1 - Prob. 2-7SCCh. 9.1 - Prob. 2-8SCCh. 9.1 - Prob. 2-9SCCh. 9.1 - Prob. 2-10SCCh. 9.1 - Prob. 2-11SCCh. 9.1 - Prob. 2-12SCCh. 9.1 - Prob. 2-13SCCh. 9.1 - Prob. 2-14SCCh. 9.1 - Prob. 2-15SCCh. 9.1 - Prob. 2-16SCCh. 9.1 - Prob. 2-17SCCh. 9.1 - Prob. 2-18SCCh. 9.1 - Prob. 2-19SCCh. 9.1 - Prob. 2-20SCCh. 9.1 - Prob. 2-21SCCh. 9.1 - Prob. 2-22SCCh. 9.1 - Prob. 2-23SCCh. 9.1 - Prob. 2-24SCCh. 9.1 - Prob. 1SECh. 9.1 - Prob. 2SECh. 9.1 - Prob. 3SECh. 9.1 - Prob. 4SECh. 9.1 - Prob. 5SECh. 9.1 - Prob. 6SECh. 9.1 - Prob. 7SECh. 9.1 - Prob. 8SECh. 9.1 - Prob. 9SECh. 9.1 - Prob. 10SECh. 9.1 - Prob. 11SECh. 9.1 - Prob. 12SECh. 9.1 - Prob. 13SECh. 9.1 - Prob. 14SECh. 9.1 - Prob. 15SECh. 9.1 - Prob. 16SECh. 9.1 - Prob. 17SECh. 9.1 - Prob. 18SECh. 9.1 - Prob. 19SECh. 9.1 - Prob. 20SECh. 9.1 - Prob. 21SECh. 9.1 - Prob. 22SECh. 9.1 - Prob. 23SECh. 9.1 - Prob. 24SECh. 9.1 - Prob. 25SECh. 9.1 - Prob. 26SECh. 9.1 - Prob. 27SECh. 9.1 - Prob. 28SECh. 9.2 - Prob. 1-1SCCh. 9.2 - Prob. 1-2SCCh. 9.2 - Prob. 1-3SCCh. 9.2 - Prob. 1-4SCCh. 9.2 - Prob. 1-5SCCh. 9.2 - Prob. 1-6SCCh. 9.2 - Prob. 1-7SCCh. 9.2 - Prob. 1-8SCCh. 9.2 - Prob. 1-9SCCh. 9.2 - Prob. 1-10SCCh. 9.2 - Prob. 1-11SCCh. 9.2 - Prob. 1-12SCCh. 9.2 - Prob. 1-13SCCh. 9.2 - Prob. 1-14SCCh. 9.2 - Prob. 1-15SCCh. 9.2 - Prob. 1-16SCCh. 9.2 - Prob. 1-17SCCh. 9.2 - Prob. 1-18SCCh. 9.2 - Prob. 1-19SCCh. 9.2 - Prob. 1-20SCCh. 9.2 - Prob. 1-21SCCh. 9.2 - Prob. 1-22SCCh. 9.2 - Prob. 1-23SCCh. 9.2 - Prob. 1-24SCCh. 9.2 - Prob. 2-1SCCh. 9.2 - Prob. 2-2SCCh. 9.2 - Prob. 2-3SCCh. 9.2 - Prob. 2-4SCCh. 9.2 - Prob. 2-5SCCh. 9.2 - Prob. 2-6SCCh. 9.2 - Prob. 1SECh. 9.2 - Prob. 2SECh. 9.2 - Prob. 3SECh. 9.2 - Prob. 4SECh. 9.2 - Prob. 5SECh. 9.2 - Prob. 6SECh. 9.2 - Prob. 7SECh. 9.2 - Prob. 8SECh. 9.2 - Prob. 9SECh. 9.2 - Prob. 10SECh. 9.2 - Prob. 11SECh. 9.2 - Prob. 12SECh. 9.2 - Prob. 13SECh. 9.2 - Prob. 14SECh. 9.2 - Prob. 15SECh. 9.2 - Prob. 16SECh. 9.2 - Prob. 17SECh. 9.2 - Prob. 18SECh. 9.2 - Prob. 19SECh. 9.2 - Prob. 20SECh. 9.2 - Prob. 21SECh. 9.2 - Prob. 22SECh. 9.3 - Prob. 1-1SCCh. 9.3 - Prob. 1-2SCCh. 9.3 - Prob. 1-3SCCh. 9.3 - Prob. 1-4SCCh. 9.3 - Prob. 1-5SCCh. 9.3 - Prob. 1-6SCCh. 9.3 - Prob. 2-1SCCh. 9.3 - Prob. 2-2SCCh. 9.3 - Prob. 2-3SCCh. 9.3 - Prob. 2-4SCCh. 9.3 - Prob. 3-1SCCh. 9.3 - Prob. 3-2SCCh. 9.3 - Prob. 3-3SCCh. 9.3 - Prob. 3-4SCCh. 9.3 - Prob. 1SECh. 9.3 - Prob. 2SECh. 9.3 - Prob. 3SECh. 9.3 - Prob. 4SECh. 9.3 - Prob. 5SECh. 9.3 - Prob. 6SECh. 9.3 - Prob. 7SECh. 9.3 - Prob. 8SECh. 9.3 - Prob. 9SECh. 9.3 - Prob. 10SECh. 9.3 - Prob. 11SECh. 9.3 - Prob. 12SECh. 9.3 - Prob. 13SECh. 9.3 - Prob. 14SECh. 9.3 - Prob. 15SECh. 9.3 - Prob. 16SECh. 9.3 - Prob. 17SECh. 9.3 - Prob. 18SECh. 9.3 - Prob. 19SECh. 9 - Prob. 1ESCh. 9 - Prob. 2ESCh. 9 - Prob. 3ESCh. 9 - Prob. 4ESCh. 9 - Prob. 5ESCh. 9 - Prob. 6ESCh. 9 - Prob. 7ESCh. 9 - Prob. 8ESCh. 9 - Prob. 9ESCh. 9 - Prob. 10ESCh. 9 - Prob. 11ESCh. 9 - Prob. 12ESCh. 9 - Prob. 13ESCh. 9 - Prob. 14ESCh. 9 - Prob. 15ESCh. 9 - Prob. 16ESCh. 9 - Prob. 17ESCh. 9 - Prob. 18ESCh. 9 - Prob. 19ESCh. 9 - Prob. 20ESCh. 9 - Prob. 21ESCh. 9 - Prob. 22ESCh. 9 - Prob. 23ESCh. 9 - Prob. 24ESCh. 9 - Prob. 25ESCh. 9 - Prob. 26ESCh. 9 - Prob. 27ESCh. 9 - Prob. 28ESCh. 9 - Prob. 29ESCh. 9 - Prob. 30ESCh. 9 - Prob. 31ESCh. 9 - Prob. 32ESCh. 9 - Prob. 33ESCh. 9 - Prob. 34ESCh. 9 - Prob. 35ESCh. 9 - Prob. 36ESCh. 9 - Prob. 37ESCh. 9 - Prob. 38ESCh. 9 - Prob. 39ESCh. 9 - Prob. 40ESCh. 9 - Prob. 41ESCh. 9 - Prob. 42ESCh. 9 - Prob. 43ESCh. 9 - Prob. 1PTCh. 9 - Prob. 2PTCh. 9 - Prob. 3PTCh. 9 - Prob. 4PTCh. 9 - Prob. 5PTCh. 9 - Prob. 6PTCh. 9 - Prob. 7PTCh. 9 - Prob. 8PTCh. 9 - Prob. 9PTCh. 9 - Prob. 10PTCh. 9 - Prob. 11PTCh. 9 - Prob. 12PTCh. 9 - Prob. 13PTCh. 9 - Prob. 14PTCh. 9 - Prob. 15PTCh. 9 - Prob. 16PTCh. 9 - Prob. 17PTCh. 9 - Prob. 18PTCh. 9 - Prob. 19PTCh. 9 - Prob. 20PTCh. 9 - Prob. 21PTCh. 9 - Prob. 22PTCh. 9 - Prob. 23PTCh. 9 - Prob. 24PTCh. 9 - Prob. 25PTCh. 9 - Prob. 26PTCh. 9 - Prob. 27PTCh. 9 - Prob. 28PTCh. 9 - Prob. 29PTCh. 9 - Prob. 1CTCh. 9 - Prob. 2CTCh. 9 - Prob. 3CTCh. 9 - Prob. 4CTCh. 9 - Prob. 5CTCh. 9 - Prob. 6CTCh. 9 - Prob. 7CTCh. 9 - Prob. 8CTCh. 9 - Prob. 9CTCh. 9 - Prob. 10CTCh. 9 - Prob. 11CTCh. 9 - Prob. 1CPCh. 9 - Prob. 2CPCh. 9 - Prob. 1CS1Ch. 9 - Prob. 2CS1Ch. 9 - Prob. 3CS1Ch. 9 - Prob. 4CS1Ch. 9 - Prob. 1CS2Ch. 9 - Prob. 2CS2Ch. 9 - Prob. 3CS2Ch. 9 - Prob. 4CS2Ch. 9 - Prob. 5CS2Ch. 9 - Prob. 6CS2Ch. 9 - Prob. 1CS3Ch. 9 - Prob. 2CS3Ch. 9 - Prob. 3CS3Ch. 9 - Prob. 4CS3
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- 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]arrow_forward(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]arrow_forward1. (i) Explain the difference in application between the Mann-Whitney U test and the Wilcoxon Signed-Rank test, i.e. in which scenarios would each test be used? (ii) What is the main procedure underlying these nonparametric tests? [3 Marks]arrow_forward
- You may need to use the appropriate appendix table or technology to answer this question. You are given the following information obtained from a random sample of 4 observations. 24 48 31 57 You want to determine whether or not the mean of the population from which this sample was taken is significantly different from 49. (Assume the population is normally distributed.) (a) State the null and the alternative hypotheses. (Enter != for ≠ as needed.) H0: Ha: (b) Determine the test statistic. (Round your answer to three decimal places.) (c) Determine the p-value, and at the 5% level of significance, test to determine whether or not the mean of the population is significantly different from 49. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject H0. There is insufficient evidence to conclude that the mean of the population is different from 49.Do not reject H0. There is sufficient evidence to conclude that the…arrow_forward17arrow_forwardNo chatgpt plsarrow_forward
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