Pearson eText for Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version -- Instant Access (Pearson+)
14th Edition
ISBN: 9780137400126
Author: Raymond Barnett, Michael Ziegler
Publisher: PEARSON+
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Chapter 11.2, Problem 1E
To determine
To evaluate: The definite
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Selon une économiste d’une société financière, les dépenses moyennes pour « meubles et appareils de maison » ont été moins importantes pour les ménages de la région de Montréal, que celles de la région de Québec.
Un échantillon aléatoire de 14 ménages pour la région de Montréal et de 16 ménages pour la région Québec est tiré et donne les données suivantes, en ce qui a trait aux dépenses pour ce secteur d’activité économique.
On suppose que les données de chaque population sont distribuées selon une loi normale.
Nous sommes intéressé à connaitre si les variances des populations sont égales.a) Faites le test d’hypothèse sur deux variances approprié au seuil de signification de 1 %. Inclure les informations suivantes :
i. Hypothèse / Identification des populationsii. Valeur(s) critique(s) de Fiii. Règle de décisioniv. Valeur du rapport Fv. Décision et conclusion
b) A partir des résultats obtenus en a), est-ce que l’hypothèse d’égalité des variances pour cette…
Q4
4 Points
3
Let A =
5
-1
Let S : R³ → R² be the linear transformation whose standard matrix is A.
Let U : R² → R³ be the linear transformation whose standard matrix is AT (the transpose of A).
Let P: R³ → R³ be the linear transformation which first applies S and then applies U.
Let Q: R² → R² be the linear transformation which first applies U and then applies S.
Find the standard matrix of P and the standard matrix of Q. Clearly indicate which is which in
your work.
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Q3
4 Points
Let T: R4 → R³ be the linear transformation defined by the formula
11
x1+x3+2x4
T
x2 + 3 + 24
Is
−1 +222 +23
I
i. (2 points) Find the standard matrix of T.
ii (2 points) Determine if I is one-to-one and determine if I' is onto.
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Chapter 11 Solutions
Pearson eText for Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version -- Instant Access (Pearson+)
Ch. 11.1 - Evaluate the following, if it converges: 3dx(x1)2.Ch. 11.1 - Prob. 2MPCh. 11.1 - Prob. 3MPCh. 11.1 - Prob. 4MPCh. 11.1 - Prob. 5MPCh. 11.1 - Prob. 6MPCh. 11.1 - Prob. 1EDCh. 11.1 - Prob. 2EDCh. 11.1 - Prob. 1ECh. 11.1 - Prob. 2E
Ch. 11.1 - Prob. 3ECh. 11.1 - Prob. 4ECh. 11.1 - Prob. 5ECh. 11.1 - Prob. 6ECh. 11.1 - Prob. 7ECh. 11.1 - Prob. 8ECh. 11.1 - In Problems 928, find the value of each improper...Ch. 11.1 - In Problems 928, find the value of each improper...Ch. 11.1 - In Problems 928, find the value of each improper...Ch. 11.1 - In Problems 928, find the value of each improper...Ch. 11.1 - Prob. 13ECh. 11.1 - In Problems 928, find the value of each improper...Ch. 11.1 - In Problems 928, find the value of each improper...Ch. 11.1 - In Problems 928, find the value of each improper...Ch. 11.1 - In Problems 928, find the value of each improper...Ch. 11.1 - Prob. 18ECh. 11.1 - Prob. 19ECh. 11.1 - In Problems 928, find the value of each improper...Ch. 11.1 - In Problems 928, find the value of each improper...Ch. 11.1 - In Problems 928, find the value of each improper...Ch. 11.1 - In Problems 928, find the value of each improper...Ch. 11.1 - Prob. 24ECh. 11.1 - Prob. 25ECh. 11.1 - In Problems 928, find the value of each improper...Ch. 11.1 - In Problems 928, find the value of each improper...Ch. 11.1 - Prob. 28ECh. 11.1 - Prob. 29ECh. 11.1 - In Problems 2934, graph y = f(x) and find the...Ch. 11.1 - Prob. 31ECh. 11.1 - Prob. 32ECh. 11.1 - Prob. 33ECh. 11.1 - Prob. 34ECh. 11.1 - Prob. 35ECh. 11.1 - In Problems 3538, discuss the validity of each...Ch. 11.1 - Prob. 37ECh. 11.1 - Prob. 38ECh. 11.1 - Prob. 39ECh. 11.1 - Prob. 40ECh. 11.1 - Prob. 41ECh. 11.1 - Prob. 42ECh. 11.1 - Prob. 43ECh. 11.1 - Prob. 44ECh. 11.1 - Prob. 45ECh. 11.1 - Prob. 46ECh. 11.1 - Prob. 47ECh. 11.1 - Prob. 48ECh. 11.1 - Prob. 49ECh. 11.1 - Prob. 50ECh. 11.1 - Prob. 51ECh. 11.1 - Prob. 52ECh. 11.1 - Prob. 53ECh. 11.1 - Prob. 54ECh. 11.1 - Prob. 55ECh. 11.1 - Prob. 56ECh. 11.1 - Prob. 57ECh. 11.1 - Prob. 58ECh. 11.1 - Prob. 59ECh. 11.1 - Prob. 60ECh. 11.1 - Prob. 61ECh. 11.1 - Prob. 62ECh. 11.1 - Prob. 63ECh. 11.1 - Prob. 64ECh. 11.1 - Prob. 65ECh. 11.1 - Prob. 66ECh. 11.1 - Prob. 67ECh. 11.1 - Prob. 68ECh. 11.1 - Prob. 69ECh. 11.1 - Prob. 70ECh. 11.1 - Prob. 71ECh. 11.1 - Prob. 72ECh. 11.2 - Let f(x)={6x6x2if0x10otherwise Graph f and verify...Ch. 11.2 - Prob. 2MPCh. 11.2 - Prob. 3MPCh. 11.2 - Prob. 4MPCh. 11.2 - Repeat Example 5 if the pharmacist wants the...Ch. 11.2 - For each of the following experiments, determine...Ch. 11.2 - Prob. 2EDCh. 11.2 - Prob. 1ECh. 11.2 - Prob. 2ECh. 11.2 - Prob. 3ECh. 11.2 - Prob. 4ECh. 11.2 - Prob. 5ECh. 11.2 - Prob. 6ECh. 11.2 - Prob. 7ECh. 11.2 - Prob. 8ECh. 11.2 - Prob. 9ECh. 11.2 - In Problems 9 and 10, graph f, and show that f...Ch. 11.2 - Prob. 11ECh. 11.2 - Prob. 12ECh. 11.2 - Prob. 13ECh. 11.2 - Prob. 14ECh. 11.2 - Use the function in Problem 9 to find the...Ch. 11.2 - Use the function in Problem 10 to find the...Ch. 11.2 - Use the function in Problem 9 to find the...Ch. 11.2 - Use the function in Problem 10 to find the...Ch. 11.2 - Prob. 19ECh. 11.2 - Prob. 20ECh. 11.2 - Prob. 21ECh. 11.2 - Prob. 22ECh. 11.2 - Prob. 23ECh. 11.2 - Use the cumulative distribution function from...Ch. 11.2 - In Problems 25 and 26, graph f, and show that f...Ch. 11.2 - In Problems 25 and 26, graph f, and show that f...Ch. 11.2 - Prob. 27ECh. 11.2 - Use the function in Problem 26 to find the...Ch. 11.2 - Prob. 29ECh. 11.2 - Prob. 30ECh. 11.2 - Prob. 31ECh. 11.2 - Prob. 32ECh. 11.2 - Prob. 33ECh. 11.2 - In Problems 3336, find the associated cumulative...Ch. 11.2 - Prob. 35ECh. 11.2 - Prob. 36ECh. 11.2 - Prob. 37ECh. 11.2 - Prob. 38ECh. 11.2 - Prob. 39ECh. 11.2 - Prob. 40ECh. 11.2 - Prob. 41ECh. 11.2 - Prob. 42ECh. 11.2 - Prob. 43ECh. 11.2 - Prob. 44ECh. 11.2 - Prob. 45ECh. 11.2 - Prob. 46ECh. 11.2 - Prob. 47ECh. 11.2 - Prob. 48ECh. 11.2 - Prob. 49ECh. 11.2 - Prob. 50ECh. 11.2 - Prob. 51ECh. 11.2 - Prob. 52ECh. 11.2 - Prob. 53ECh. 11.2 - Prob. 54ECh. 11.2 - In Problems 53 and 58, find the associated...Ch. 11.2 - In Problems 53 and 58, find the associated...Ch. 11.2 - Prob. 57ECh. 11.2 - In Problems 53 and 58, find the associated...Ch. 11.2 - Demand. The weekly demand for hamburger (in...Ch. 11.2 - Prob. 60ECh. 11.2 - Prob. 61ECh. 11.2 - Prob. 62ECh. 11.2 - Prob. 63ECh. 11.2 - Shelf life. Repeat Problem 63 if...Ch. 11.2 - Prob. 65ECh. 11.2 - Prob. 66ECh. 11.3 - Find the expected value (mean), variance, and...Ch. 11.3 - Repeat Example 2 if the probability density...Ch. 11.3 - Prob. 3MPCh. 11.3 - Prob. 4MPCh. 11.3 - Prob. 5MPCh. 11.3 - Prob. 6MPCh. 11.3 - Prob. 1EDCh. 11.3 - Prob. 2EDCh. 11.3 - In Problems 16, find the mean, variance, and...Ch. 11.3 - In Problems 16, find the mean, variance, and...Ch. 11.3 - In Problems 16, find the mean, variance, and...Ch. 11.3 - Prob. 4ECh. 11.3 - Prob. 5ECh. 11.3 - Prob. 6ECh. 11.3 - In Problems 712, find the median....Ch. 11.3 - Prob. 8ECh. 11.3 - Prob. 9ECh. 11.3 - In Problems 712, find the median....Ch. 11.3 - In Problems 712, find the median....Ch. 11.3 - Prob. 12ECh. 11.3 - Prob. 13ECh. 11.3 - Prob. 14ECh. 11.3 - Prob. 15ECh. 11.3 - Prob. 16ECh. 11.3 - In Problems 1720, find the mean, variance, and...Ch. 11.3 - Prob. 18ECh. 11.3 - In Problems 1720, find the mean, variance, and...Ch. 11.3 - In Problems 1720, find the mean, variance, and...Ch. 11.3 - In Problems 21 and 22, use a graphing calculator...Ch. 11.3 - Prob. 22ECh. 11.3 - Prob. 23ECh. 11.3 - Prob. 24ECh. 11.3 - Prob. 25ECh. 11.3 - Prob. 26ECh. 11.3 - Prob. 27ECh. 11.3 - Prob. 28ECh. 11.3 - Prob. 29ECh. 11.3 - Prob. 30ECh. 11.3 - Prob. 31ECh. 11.3 - Prob. 32ECh. 11.3 - Prob. 33ECh. 11.3 - Prob. 34ECh. 11.3 - Prob. 35ECh. 11.3 - Prob. 36ECh. 11.3 - Prob. 37ECh. 11.3 - Prob. 38ECh. 11.3 - Prob. 39ECh. 11.3 - Prob. 40ECh. 11.3 - Prob. 41ECh. 11.3 - Prob. 42ECh. 11.3 - Prob. 43ECh. 11.3 - Prob. 44ECh. 11.3 - Prob. 45ECh. 11.3 - Electricity consumption. The daily consumption of...Ch. 11.3 - Prob. 47ECh. 11.3 - Product life. The life expectancy (in years) of an...Ch. 11.3 - Prob. 49ECh. 11.3 - Prob. 50ECh. 11.3 - Prob. 51ECh. 11.3 - Prob. 52ECh. 11.3 - Prob. 53ECh. 11.3 - Prob. 54ECh. 11.3 - Learning. The number of hours it takes a...Ch. 11.3 - Prob. 56ECh. 11.4 - Use the probability density function given in...Ch. 11.4 - Prob. 2MPCh. 11.4 - Prob. 3MPCh. 11.4 - In Example 4, what percentage of the lightbulbs...Ch. 11.4 - Prob. 5MPCh. 11.4 - Prob. 2EDCh. 11.4 - Prob. 1ECh. 11.4 - Prob. 2ECh. 11.4 - Prob. 3ECh. 11.4 - Prob. 4ECh. 11.4 - Prob. 5ECh. 11.4 - Prob. 6ECh. 11.4 - Prob. 7ECh. 11.4 - Prob. 8ECh. 11.4 - Prob. 9ECh. 11.4 - Prob. 10ECh. 11.4 - In Problems 914, use Table 2 in Appendix C to find...Ch. 11.4 - Prob. 12ECh. 11.4 - Prob. 13ECh. 11.4 - In Problems 914, use Table 2 in Appendix C to find...Ch. 11.4 - Prob. 15ECh. 11.4 - Prob. 16ECh. 11.4 - Prob. 17ECh. 11.4 - Prob. 18ECh. 11.4 - Prob. 19ECh. 11.4 - Prob. 20ECh. 11.4 - Prob. 21ECh. 11.4 - Prob. 22ECh. 11.4 - Prob. 23ECh. 11.4 - Prob. 24ECh. 11.4 - Prob. 25ECh. 11.4 - Prob. 26ECh. 11.4 - Prob. 27ECh. 11.4 - Prob. 28ECh. 11.4 - Prob. 29ECh. 11.4 - Prob. 30ECh. 11.4 - Prob. 31ECh. 11.4 - Prob. 32ECh. 11.4 - Prob. 33ECh. 11.4 - Prob. 34ECh. 11.4 - Prob. 35ECh. 11.4 - Prob. 36ECh. 11.4 - Prob. 37ECh. 11.4 - Prob. 38ECh. 11.4 - Prob. 39ECh. 11.4 - Prob. 40ECh. 11.4 - Prob. 41ECh. 11.4 - Prob. 42ECh. 11.4 - Prob. 43ECh. 11.4 - Prob. 44ECh. 11.4 - Prob. 45ECh. 11.4 - Prob. 46ECh. 11.4 - Prob. 47ECh. 11.4 - Prob. 48ECh. 11.4 - Prob. 49ECh. 11.4 - Prob. 50ECh. 11.4 - Prob. 51ECh. 11.4 - Prob. 52ECh. 11.4 - Prob. 53ECh. 11.4 - Prob. 54ECh. 11.4 - Prob. 55ECh. 11.4 - Prob. 56ECh. 11.4 - Problems 5558 refer to the normal random variable...Ch. 11.4 - Prob. 58ECh. 11.4 - Prob. 59ECh. 11.4 - Prob. 60ECh. 11.4 - Prob. 61ECh. 11.4 - Prob. 62ECh. 11.4 - Prob. 63ECh. 11.4 - Prob. 64ECh. 11.4 - Prob. 65ECh. 11.4 - Prob. 66ECh. 11.4 - Prob. 67ECh. 11.4 - Prob. 68ECh. 11.4 - Waiting time. The time (in minutes) applicants...Ch. 11.4 - Prob. 70ECh. 11.4 - Communications. The length of time for telephone...Ch. 11.4 - Prob. 72ECh. 11.4 - Prob. 73ECh. 11.4 - Prob. 74ECh. 11.4 - Prob. 75ECh. 11.4 - Prob. 76ECh. 11.4 - Prob. 77ECh. 11.4 - Prob. 78ECh. 11.4 - Prob. 79ECh. 11.4 - Prob. 80ECh. 11.4 - Prob. 81ECh. 11.4 - Prob. 82ECh. 11.4 - Prob. 83ECh. 11.4 - Prob. 84ECh. 11.4 - Prob. 85ECh. 11.4 - Prob. 86ECh. 11 - Prob. 1RECh. 11 - Prob. 2RECh. 11 - Prob. 3RECh. 11 - Prob. 4RECh. 11 - Prob. 5RECh. 11 - Prob. 6RECh. 11 - Prob. 7RECh. 11 - Prob. 8RECh. 11 - Prob. 9RECh. 11 - Prob. 10RECh. 11 - Prob. 11RECh. 11 - Prob. 12RECh. 11 - Prob. 13RECh. 11 - Prob. 14RECh. 11 - Prob. 15RECh. 11 - Prob. 16RECh. 11 - Prob. 17RECh. 11 - Prob. 18RECh. 11 - Prob. 19RECh. 11 - Prob. 20RECh. 11 - Prob. 21RECh. 11 - Prob. 22RECh. 11 - Prob. 23RECh. 11 - Prob. 24RECh. 11 - Prob. 25RECh. 11 - Prob. 26RECh. 11 - Prob. 27RECh. 11 - Prob. 28RECh. 11 - Prob. 29RECh. 11 - Prob. 30RECh. 11 - Prob. 31RECh. 11 - Prob. 32RECh. 11 - Prob. 33RECh. 11 - Prob. 34RECh. 11 - Prob. 35RECh. 11 - Prob. 36RECh. 11 - Prob. 37RECh. 11 - Prob. 38RECh. 11 - Prob. 39RECh. 11 - Credit applications. The percentage of...Ch. 11 - Prob. 41RECh. 11 - Prob. 42RECh. 11 - Prob. 43RECh. 11 - Medicine. The shelf life (in months) of a certain...Ch. 11 - Life expectancy. The life expectancy (in months)...Ch. 11 - Prob. 46RECh. 11 - Prob. 47RECh. 11 - Prob. 48RE
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