Basic Technical Mathematics
11th Edition
ISBN: 9780134437705
Author: Washington
Publisher: PEARSON
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Chapter 14, Problem 54RE
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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…
Chapter 14 Solutions
Basic Technical Mathematics
Ch. 14.1 - In Example 7, determine how many times the rocket...Ch. 14.1 - Prob. 1ECh. 14.1 - Prob. 2ECh. 14.1 - Prob. 3ECh. 14.1 - Prob. 4ECh. 14.1 - Prob. 5ECh. 14.1 - Prob. 6ECh. 14.1 - Prob. 7ECh. 14.1 - Prob. 8ECh. 14.1 - Prob. 9E
Ch. 14.1 - Prob. 10ECh. 14.1 - Prob. 11ECh. 14.1 - Prob. 12ECh. 14.1 - Prob. 13ECh. 14.1 - Prob. 14ECh. 14.1 - Prob. 15ECh. 14.1 - Prob. 16ECh. 14.1 - Prob. 17ECh. 14.1 - Prob. 18ECh. 14.1 - Prob. 19ECh. 14.1 - Prob. 20ECh. 14.1 - Prob. 21ECh. 14.1 - In Exercises 5–30, solve the given systems of...Ch. 14.1 - Prob. 23ECh. 14.1 - Prob. 24ECh. 14.1 - Prob. 25ECh. 14.1 - Prob. 26ECh. 14.1 - Prob. 27ECh. 14.1 - Prob. 28ECh. 14.1 - Prob. 29ECh. 14.1 - Prob. 30ECh. 14.1 - Prob. 31ECh. 14.1 - Prob. 32ECh. 14.1 - Prob. 33ECh. 14.1 - Prob. 34ECh. 14.1 - Prob. 35ECh. 14.1 - Prob. 36ECh. 14.1 - Prob. 37ECh. 14.1 - Prob. 38ECh. 14.2 - Prob. 1PECh. 14.2 - Prob. 2PECh. 14.2 - Prob. 1ECh. 14.2 - Prob. 2ECh. 14.2 - Prob. 3ECh. 14.2 - Prob. 4ECh. 14.2 - In Exercise 5–28, solve the given systems of...Ch. 14.2 - Prob. 6ECh. 14.2 - In Exercise 5–28, solve the given systems of...Ch. 14.2 - Prob. 8ECh. 14.2 - In Exercise 5–28, solve the given systems of...Ch. 14.2 - Prob. 10ECh. 14.2 - In Exercise 5–28, solve the given systems of...Ch. 14.2 - Prob. 12ECh. 14.2 - In Exercise 5–28, solve the given systems of...Ch. 14.2 - Prob. 14ECh. 14.2 - In Exercise 5–28, solve the given systems of...Ch. 14.2 - Prob. 16ECh. 14.2 -
In Exercises 5–28, solve the given systems of...Ch. 14.2 - Prob. 18ECh. 14.2 - In Exercise 5–28, solve the given systems of...Ch. 14.2 - Prob. 20ECh. 14.2 - Prob. 21ECh. 14.2 - Prob. 22ECh. 14.2 - Prob. 23ECh. 14.2 - Prob. 24ECh. 14.2 - Prob. 25ECh. 14.2 - Prob. 26ECh. 14.2 - Prob. 27ECh. 14.2 - Prob. 28ECh. 14.2 - Prob. 29ECh. 14.2 - Prob. 30ECh. 14.2 - Prob. 31ECh. 14.2 - Prob. 32ECh. 14.2 - Prob. 33ECh. 14.2 - Prob. 34ECh. 14.2 - Prob. 35ECh. 14.2 - Prob. 36ECh. 14.2 -
In Exercises 29–46, solve the indicated systems...Ch. 14.2 - Prob. 38ECh. 14.2 - Prob. 39ECh. 14.2 - Prob. 40ECh. 14.2 - Prob. 42ECh. 14.2 - Prob. 43ECh. 14.2 - Prob. 44ECh. 14.2 - Prob. 45ECh. 14.2 - Prob. 46ECh. 14.3 - Prob. 1PECh. 14.3 - Prob. 2PECh. 14.3 - Prob. 1ECh. 14.3 - Prob. 2ECh. 14.3 - In Exercise 3–28, solve the given equations...Ch. 14.3 - Prob. 4ECh. 14.3 - In Exercise 3–28, solve the given equations...Ch. 14.3 - Prob. 6ECh. 14.3 - In Exercises 3–28, solve the given equations...Ch. 14.3 - Prob. 8ECh. 14.3 - In Exercise 3–28, solve the given equations...Ch. 14.3 - Prob. 10ECh. 14.3 - In Exercise 3–28, solve the given equations...Ch. 14.3 - Prob. 12ECh. 14.3 - In Exercise 3–28, solve the given equations...Ch. 14.3 - Prob. 14ECh. 14.3 - In Exercises 3–28, solve the given equations...Ch. 14.3 - Prob. 16ECh. 14.3 - Prob. 17ECh. 14.3 - Prob. 18ECh. 14.3 - Prob. 19ECh. 14.3 - Prob. 20ECh. 14.3 - Prob. 21ECh. 14.3 - Prob. 22ECh. 14.3 - Prob. 23ECh. 14.3 - Prob. 24ECh. 14.3 - Prob. 25ECh. 14.3 - Prob. 26ECh. 14.3 - Prob. 27ECh. 14.3 - Prob. 28ECh. 14.3 - Prob. 29ECh. 14.3 - Prob. 30ECh. 14.3 - Prob. 31ECh. 14.3 - Prob. 32ECh. 14.3 - Prob. 33ECh. 14.3 - Prob. 34ECh. 14.3 - Prob. 35ECh. 14.3 - Prob. 36ECh. 14.3 - Prob. 37ECh. 14.3 - Prob. 38ECh. 14.3 - Prob. 39ECh. 14.3 - Prob. 40ECh. 14.3 - Prob. 41ECh. 14.3 - In Exercises 35–42, solve the given problems...Ch. 14.4 - Solve for x:
Ch. 14.4 - Prob. 2PECh. 14.4 - Prob. 3PECh. 14.4 - Prob. 1ECh. 14.4 - Prob. 2ECh. 14.4 - Prob. 3ECh. 14.4 - Prob. 4ECh. 14.4 - In Exercises 5–34, solve the given equations. In...Ch. 14.4 - Prob. 6ECh. 14.4 - In Exercises 5–34, solve the given equations. In...Ch. 14.4 - Prob. 8ECh. 14.4 - In Exercises 5–34, solve the given equations. In...Ch. 14.4 - Prob. 10ECh. 14.4 - In Exercises 5–34, solve the given equations. In...Ch. 14.4 - Prob. 12ECh. 14.4 - In Exercises 5–34, solve the given equations. In...Ch. 14.4 - Prob. 14ECh. 14.4 - In Exercises 5–34, solve the given equations. In...Ch. 14.4 - Prob. 16ECh. 14.4 - In Exercises 5–34, solve the given equations. In...Ch. 14.4 - Prob. 18ECh. 14.4 - In Exercises 5–34, solve the given equations. In...Ch. 14.4 - Prob. 20ECh. 14.4 - In Exercises 5–34, solve the given equations. In...Ch. 14.4 - Prob. 22ECh. 14.4 - In Exercises 5–34, solve the given equations. In...Ch. 14.4 - Prob. 24ECh. 14.4 - In Exercises 5–34, solve the given equations. In...Ch. 14.4 - Prob. 26ECh. 14.4 - Prob. 27ECh. 14.4 - Prob. 28ECh. 14.4 - Prob. 29ECh. 14.4 - Prob. 30ECh. 14.4 - Prob. 31ECh. 14.4 - Prob. 32ECh. 14.4 - Prob. 33ECh. 14.4 - Prob. 34ECh. 14.4 - Prob. 35ECh. 14.4 - Prob. 36ECh. 14.4 - Prob. 37ECh. 14.4 - Prob. 38ECh. 14.4 - Prob. 39ECh. 14.4 - Prob. 40ECh. 14.4 - Prob. 41ECh. 14.4 - Prob. 42ECh. 14.4 - Prob. 43ECh. 14.4 - Prob. 44ECh. 14.4 - Prob. 45ECh. 14.4 - Prob. 46ECh. 14.4 - Prob. 47ECh. 14.4 - Prob. 48ECh. 14.4 - Prob. 49ECh. 14.4 - Prob. 50ECh. 14.4 - Prob. 51ECh. 14.4 - Prob. 52ECh. 14 - Prob. 1RECh. 14 - Prob. 2RECh. 14 - Prob. 3RECh. 14 - Prob. 4RECh. 14 - Prob. 5RECh. 14 - Prob. 6RECh. 14 - Prob. 7RECh. 14 - Prob. 8RECh. 14 - Prob. 9RECh. 14 - Prob. 10RECh. 14 - Prob. 11RECh. 14 - Prob. 12RECh. 14 - Prob. 13RECh. 14 - Prob. 14RECh. 14 - Prob. 15RECh. 14 - Prob. 16RECh. 14 - Prob. 17RECh. 14 - Prob. 18RECh. 14 - Prob. 19RECh. 14 - Prob. 20RECh. 14 - Prob. 21RECh. 14 - Prob. 22RECh. 14 - Prob. 23RECh. 14 - Prob. 24RECh. 14 - Prob. 25RECh. 14 - Prob. 26RECh. 14 - Prob. 27RECh. 14 - Prob. 28RECh. 14 - Prob. 29RECh. 14 - Prob. 30RECh. 14 - Prob. 31RECh. 14 - Prob. 32RECh. 14 - Prob. 33RECh. 14 - Prob. 34RECh. 14 - Prob. 35RECh. 14 - Prob. 36RECh. 14 - Prob. 37RECh. 14 - Prob. 38RECh. 14 - Prob. 39RECh. 14 - Prob. 40RECh. 14 - Prob. 41RECh. 14 - Prob. 42RECh. 14 - Prob. 43RECh. 14 - Prob. 44RECh. 14 - Prob. 45RECh. 14 - Prob. 46RECh. 14 - Prob. 47RECh. 14 - Prob. 48RECh. 14 - Prob. 49RECh. 14 - Prob. 50RECh. 14 - Prob. 51RECh. 14 - Prob. 52RECh. 14 - Prob. 53RECh. 14 - Prob. 54RECh. 14 - Prob. 55RECh. 14 - Prob. 56RECh. 14 - Prob. 57RECh. 14 - Prob. 58RECh. 14 - Prob. 59RECh. 14 - Prob. 60RECh. 14 - Prob. 61RECh. 14 - Prob. 62RECh. 14 - Prob. 63RECh. 14 - Prob. 64RECh. 14 - Prob. 65RECh. 14 - Prob. 66RECh. 14 - Prob. 67RECh. 14 - Prob. 68RECh. 14 - Prob. 69RECh. 14 - Prob. 70RECh. 14 - Prob. 71RECh. 14 - Prob. 72RECh. 14 - Prob. 73RECh. 14 - Prob. 74RECh. 14 - Prob. 75RECh. 14 - Prob. 76RECh. 14 - Prob. 77RECh. 14 - Prob. 78RECh. 14 - Prob. 79RECh. 14 - Prob. 1PTCh. 14 - Prob. 2PTCh. 14 - Prob. 3PTCh. 14 - Prob. 4PTCh. 14 - Prob. 5PTCh. 14 - Prob. 6PTCh. 14 - Prob. 7PTCh. 14 - Prob. 8PT
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- 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. Please select file(s) Select file(s) Save Answerarrow_forwardQ3 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. Please select file(s) Select file(s)arrow_forwardThe three right triangles below are similar. The acute angles LL, LR, and ZZ are all approximately measured to be 66.9°. The side lengths for each triangle are as follows. Note that the triangles are not drawn to scale. Z 20.17 m 60.51 m 66.9° 7.92 m 66.9° 80.68 m 66.9° 23.76 m 31.68 m Take one 18.55 m K P 55.65 m X 74.2 m Y (a) For each triangle, find the ratio of the length of the side opposite 66.9° to the length of the hypotenuse. Round your answers to the nearest hundredth. JK JL PQ PR XY ☐ XZ (b) Use the ALEKS Calculator to find sin 66.9°, cos 66.9°, and tan 66.9°. Round your answers to the nearest hundredth. sin 66.9° = ☐ cos 66.9° tan 66.9° = ☐ (c) Which trigonometric function gives each ratio of sides in part (a)? Osine Ocosine Otangent none of thesearrow_forward
- According to an economist from a financial company, the average expenditures on "furniture and household appliances" have been lower for households in the Montreal area than those in the Quebec region. A random sample of 14 households from the Montreal region and 16 households from the Quebec region was taken, providing the following data regarding expenditures in this economic sector. It is assumed that the data from each population are distributed normally. We are interested in knowing if the variances of the populations are equal. a) Perform the appropriate hypothesis test on two variances at a significance level of 1%. Include the following information: i. Hypothesis / Identification of populations ii. Critical F-value(s) iii. Decision rule iv. F-ratio value v. Decision and conclusion b) Based on the results obtained in a), is the hypothesis of equal variances for this socio-economic characteristic measured in these two populations upheld? c) Based on the results obtained in a),…arrow_forwardPlease plot graphs to represent the functionsarrow_forwardEXAMPLE 6.2 In Example 5.4, we considered the random variables Y₁ (the proportional amount of gasoline stocked at the beginning of a week) and Y2 (the proportional amount of gasoline sold during the week). The joint density function of Y₁ and Y2 is given by 3y1, 0 ≤ y2 yı≤ 1, f(y1, y2) = 0, elsewhere. Find the probability density function for U = Y₁ - Y₂, the proportional amount of gasoline remaining at the end of the week. Use the density function of U to find E(U).arrow_forward
- 7.20 a If U has a x² distribution with v df, find E(U) and V (U). b Using the results of Theorem 7.3, find E(S2) and V (S2) when Y₁, Y2,..., Y, is a random sample from a normal distribution with mean μ and variance o².arrow_forwardAccording to a survey conducted by the American Bar Association, 1 in every 410 Americans is a lawyer, but 1 in every 64 residents of Washington, D.C., is a lawyer. a If you select a random sample of 1500 Americans, what is the approximate probability that the sample contains at least one lawyer? b If the sample is selected from among the residents of Washington, D.C., what is the ap- proximate probability that the sample contains more than 30 lawyers? c If you stand on a Washington, D.C., street corner and interview the first 1000 persons who walked by and 30 say that they are lawyers, does this suggest that the density of lawyers passing the corner exceeds the density within the city? Explain.arrow_forward7.50 Shear strength measurements for spot welds have been found to have standard deviation 10 pounds per square inch (psi). If 100 test welds are to be measured, what is the approximate probability that the sample mean will be within 1 psi of the true population mean? 7.51 Refer to Exercise 7.50. If the standard deviation of shear strength measurements for spot welds is 10 psi, how many test welds should be sampled if we want the sample mean to be within 1 psi of the true mean with probability approximately 992arrow_forward
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