Your friend, Lajos, wanted you to settle his hunch that the daily average of the number of customers who arrive to his shop has jumped above the usual value of 100 or less. For this purpose you decided to model the daily number of arrivals by Poisson(1). To settle the claim you also decided to observe a sample of size n = 2, namely x1, X2 and agree with Lajos's hunch if x1+X2 > 230. (i) State the null and the alternative hypotheses. (ii) State the null region and the alternative regions. (iii) By a figure show the rejection/critical region. The following"answers" have been proposed. (a) (i) Ho : 2 < 100, versus H1 :1 > 100. (ii) The null region is {(x1,x2) : x1 +x2 < 230}. The alternative region is {(x1,x2) : x1 +x2 > 230}. (iii) The rejection/critical region is interval (100, c∞). (b) (i) Ho : à < 100, versus H1 : à > 100. (ii) The null region is interval (0, 100]. The alternative region is the interval (100, 0). (iii) The rejection/critical region is {(x1, x2) : x1 + x2 2 230}. On the xy-plane, this region is the upper part of the line y = 230 – x. (c) (i) Ho : 2 < 100, versus H1 :1 > 100. (ii) The null region is interval (0, 100]. The alternative region is the interval (100, ∞). (iii) The rejection/critical region is {(x1, x2) : x1 + x2 < 230}. On the xy-plane, this region is the lower part of the line y = 230 – x. (d) (i) Ho : à < 100, versus H1 : i > 100. (ii) The null region is {(x1,x2) : x1 + x2 > 230}. The alternative region is {(x1,x2) :x1 +x2 < 230}. (iii) The rejection/critical region is interval (100, ∞). (e) None of the above. The correct answer is (a) (b) (d) (e) N/A (Select One)
Your friend, Lajos, wanted you to settle his hunch that the daily average of the number of customers who arrive to his shop has jumped above the usual value of 100 or less. For this purpose you decided to model the daily number of arrivals by Poisson(1). To settle the claim you also decided to observe a sample of size n = 2, namely x1, X2 and agree with Lajos's hunch if x1+X2 > 230. (i) State the null and the alternative hypotheses. (ii) State the null region and the alternative regions. (iii) By a figure show the rejection/critical region. The following"answers" have been proposed. (a) (i) Ho : 2 < 100, versus H1 :1 > 100. (ii) The null region is {(x1,x2) : x1 +x2 < 230}. The alternative region is {(x1,x2) : x1 +x2 > 230}. (iii) The rejection/critical region is interval (100, c∞). (b) (i) Ho : à < 100, versus H1 : à > 100. (ii) The null region is interval (0, 100]. The alternative region is the interval (100, 0). (iii) The rejection/critical region is {(x1, x2) : x1 + x2 2 230}. On the xy-plane, this region is the upper part of the line y = 230 – x. (c) (i) Ho : 2 < 100, versus H1 :1 > 100. (ii) The null region is interval (0, 100]. The alternative region is the interval (100, ∞). (iii) The rejection/critical region is {(x1, x2) : x1 + x2 < 230}. On the xy-plane, this region is the lower part of the line y = 230 – x. (d) (i) Ho : à < 100, versus H1 : i > 100. (ii) The null region is {(x1,x2) : x1 + x2 > 230}. The alternative region is {(x1,x2) :x1 +x2 < 230}. (iii) The rejection/critical region is interval (100, ∞). (e) None of the above. The correct answer is (a) (b) (d) (e) N/A (Select One)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Your friend, Lajos, wanted you to settle his hunch that the daily average of the number of customers who arrive to his
shop has jumped above the usual value of 100 or less. For this purpose you decided to model the daily number of arrivals
by Poisson(2). To settle the claim you also decided to observe a sample of size n = 2, namely x1, X2 and agree with Lajos's
hunch if x1+ X2 > 230.
(i) State the null and the alternative hypotheses.
(ii) State the null region and the alternative regions.
(iii) By a figure show the rejection/critical region.
The following `answers" have been proposed.
(a) (i) Ho : 2 < 100, versus H1 : 1 > 100.
(ii) The null region is {(x1,x2) : x1 +x2 < 230}. The alternative region is {(x1, x2) : x1 +x2 > 230}.
(iii) The rejection/critical region is interval (100, ∞).
(b) (i) Ho : A < 100, versus H1 : à > 100.
(ii) The null region is interval (0, 100]. The alternative region is the interval (100, o).
(iii) The rejection/critical region is {(x1, x2) : x1 + x2 > 230}. On the xy-plane, this region is the upper part of the line y = 230 – x.
(c) (i) Ho : 2 < 100, versus H1 : 2 > 100.
(ii) The null region is interval (0, 100]. The alternative region is the interval (100, co).
(iii) The rejection/critical region is {(x1, x2) : x1 + x2 < 230}. On the xy-plane, this region is the lower part of the line y = 230 – x.
(d) (i) Ho : A < 100, versus H1 : à > 100.
(ii) The null region is {(x1, x2) : x1 + x2 > 230}. The alternative region is {(x1,x2) : x1 +x2 < 230}.
(iii) The rejection/critical region is interval (100, c∞).
(e) None of the above.
The correct answer is
(a)
(b)
(c)
(d)
(e)
N/A
(Select One)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6214fda8-f992-4e88-b320-5195339361f5%2F464812c7-d6b9-4aa3-ba27-cb2263dadedd%2F12whpug_processed.png&w=3840&q=75)
Transcribed Image Text:Your friend, Lajos, wanted you to settle his hunch that the daily average of the number of customers who arrive to his
shop has jumped above the usual value of 100 or less. For this purpose you decided to model the daily number of arrivals
by Poisson(2). To settle the claim you also decided to observe a sample of size n = 2, namely x1, X2 and agree with Lajos's
hunch if x1+ X2 > 230.
(i) State the null and the alternative hypotheses.
(ii) State the null region and the alternative regions.
(iii) By a figure show the rejection/critical region.
The following `answers" have been proposed.
(a) (i) Ho : 2 < 100, versus H1 : 1 > 100.
(ii) The null region is {(x1,x2) : x1 +x2 < 230}. The alternative region is {(x1, x2) : x1 +x2 > 230}.
(iii) The rejection/critical region is interval (100, ∞).
(b) (i) Ho : A < 100, versus H1 : à > 100.
(ii) The null region is interval (0, 100]. The alternative region is the interval (100, o).
(iii) The rejection/critical region is {(x1, x2) : x1 + x2 > 230}. On the xy-plane, this region is the upper part of the line y = 230 – x.
(c) (i) Ho : 2 < 100, versus H1 : 2 > 100.
(ii) The null region is interval (0, 100]. The alternative region is the interval (100, co).
(iii) The rejection/critical region is {(x1, x2) : x1 + x2 < 230}. On the xy-plane, this region is the lower part of the line y = 230 – x.
(d) (i) Ho : A < 100, versus H1 : à > 100.
(ii) The null region is {(x1, x2) : x1 + x2 > 230}. The alternative region is {(x1,x2) : x1 +x2 < 230}.
(iii) The rejection/critical region is interval (100, c∞).
(e) None of the above.
The correct answer is
(a)
(b)
(c)
(d)
(e)
N/A
(Select One)
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