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Get Full Access to Elementary Statistics - 12 Edition - Chapter 11.2 - Problem 20bsc
Get Full Access to Elementary Statistics - 12 Edition - Chapter 11.2 - Problem 20bsc

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# In Exercise, conduct the hypothesis test | Ch 11.2 - 20BSC ISBN: 9780321836960 18

## Solution for problem 20BSC Chapter 11.2

Elementary Statistics | 12th Edition

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Problem 20BSC

In Exercise?, ?conduct the hypothesis test and provide the test statistic, critical value, and/or P-value, and state the conclusion. Do World War II Bomb Hits Fit a Poisson Distribution? In analyzing hits by V-l buzz bombs in World War II, South London was subdivided into regions, each with an area of 0.25 km2. Shown below is a table of actual frequencies of hits and the frequencies expected with the Poisson distribution. (The Poisson distribution is described in Section 5-5.) Use the values listed and a 0.05 significance level to test the claim that the actual frequencies fit a Poisson distribution. Number of Bomb Hits Actual Number of Regions Expected Number of Regions (from Poisson Distribution)

Step-by-Step Solution:

Solution 20BSC Step 1 Given, In analyzing hits by V-l buzz bombs in World War II, South London was subdivided into regions, each with an area of 0.25 km2. Shown below is a table of actual frequencies of hits and the frequencies expected with the Poisson distribution. By Using the values listed and = 0.05 significance level to test the claim that the actual frequencies fit a Poisson distribution. The Hypotheses can be expressed as H0 p 1 p =p2= p 3 p = 4 = p 5 p = 6 = p 7 8 9 10 H1 At least one of the probabilities are not equal. The Test Statistic here is 2 (Oi Ei) = Ei Where O = iserved frequency Ei Expected frequency k = number of different categories of outcome n = the total number observed sample value. Expected Number Observed Frequenc (O E )2 of frequency (O E ) (O E ) 2 i i y i i i i Ei bomb hits O E 0 229 227.5 1.5 2.25 .00989 1 211 211.4 -0.4 0.16 0.000757 2 93 97.9 -4.9 24.01 0.24525 3 35 30.5 4.5 20.25 0.663934 4 8 8.7 -0.7 0.49 0.056322 2 2 (Oi i ) = Ei = 0.9761 Step 2 At first we need to install X2GOF in TI-83 calculator The following steps involved in finding the test statistic using TI-83 calculator, 1. Press STAT to enter the data, to select the first item in the list “Edit” press 1 in EDIT 2. In list L1 enter the observed frequencies and in list L2 enter the expected frequencies. 3. Now press PRGM and choose X2GOF and press ENTER 4. Enter L1 for the OBS LIST and Enter L2 for EXP LIST and press ENTER 2 Now, we have = 0.9761 is the obtained test statistic value. Here, k is the number of different categories of outcomes = 5 Then degrees of freedom = k - 1 = 5 - 1 = 4 and P-value = 0.9133 We need to find the critical using the following table corresponding to 5% level of significance. Ar ea T to a the b rig l ht e of A cri - tic 4 al val ue . . . . . d .99 9 9 9 9 1 .05 .025 .01 .005 f 5 7 9 5 0 0 5 6 . . . . . .07 1 2 3 5 7.81 12.83 3 2 9.348 11.345 2 1 1 5 8 5 8 5 5 6 2 4 1 1 7 .20 . . . 9.48 11.14 14.86 4 7 . . 8 3 13.277 0 2 4 7 0 7 9 8 1 6 7 7 4 1 4 9

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##### ISBN: 9780321836960

The full step-by-step solution to problem: 20BSC from chapter: 11.2 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. Since the solution to 20BSC from 11.2 chapter was answered, more than 334 students have viewed the full step-by-step answer. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. This full solution covers the following key subjects: Poisson, distribution, hits, actual, regions. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. The answer to “In Exercise?, ?conduct the hypothesis test and provide the test statistic, critical value, and/or P-value, and state the conclusion. Do World War II Bomb Hits Fit a Poisson Distribution? In analyzing hits by V-l buzz bombs in World War II, South London was subdivided into regions, each with an area of 0.25 km2. Shown below is a table of actual frequencies of hits and the frequencies expected with the Poisson distribution. (The Poisson distribution is described in Section 5-5.) Use the values listed and a 0.05 significance level to test the claim that the actual frequencies fit a Poisson distribution. Number of Bomb Hits Actual Number of Regions Expected Number of Regions (from Poisson Distribution)” is broken down into a number of easy to follow steps, and 115 words.

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