6.Lake City has two shops, Zeke's and Elmer's, that handle the majority of the town's auto body re-pairs. Seven cars that were damaged in collisions were taken to both shops for written estimates of the re-pair costs. These estimates (in dollars) are shown in the following table.Zeke's1058544134912966769981698Elmer's152099554011751350605970a. Construct a 99% confidence interval for the mean of the population paired differences, wherea paired difference is equal to Zeke's estimate minus Elmer's estimate.b. Test at a 5% significance level whether the mean 4 of the population paired differences is differentfrom zero.Assume that the population of paired differences is (approximately) normally distributed.

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Asked Nov 20, 2019
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3. Can a test for the difference in proportions from Chapter 10 and a chi-square test of independence/association be utilized to analyze data from a 2x2 contingency table? Provide an example.

 

see the attached photo for an example of ch10 problem.

6.
Lake City has two shops, Zeke's and Elmer's, that handle the majority of the town's auto body re-
pairs. Seven cars that were damaged in collisions were taken to both shops for written estimates of the re-
pair costs. These estimates (in dollars) are shown in the following table.
Zeke's
1058
544
1349
1296
676
998
1698
Elmer's
1520
995
540
1175
1350
605
970
a. Construct a 99% confidence interval for the mean of the population paired differences, where
a paired difference is equal to Zeke's estimate minus Elmer's estimate.
b. Test at a 5% significance level whether the mean 4 of the population paired differences is different
from zero.
Assume that the population of paired differences is (approximately) normally distributed.
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6. Lake City has two shops, Zeke's and Elmer's, that handle the majority of the town's auto body re- pairs. Seven cars that were damaged in collisions were taken to both shops for written estimates of the re- pair costs. These estimates (in dollars) are shown in the following table. Zeke's 1058 544 1349 1296 676 998 1698 Elmer's 1520 995 540 1175 1350 605 970 a. Construct a 99% confidence interval for the mean of the population paired differences, where a paired difference is equal to Zeke's estimate minus Elmer's estimate. b. Test at a 5% significance level whether the mean 4 of the population paired differences is different from zero. Assume that the population of paired differences is (approximately) normally distributed.

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Expert Answer

Step 1

Given:

In a lake city there are two shops, Zeke’s and Elmer’s that handle the majority of the town’s auto body repairs.

Number of cars: 7

Zeke’s estimation: 1058 544 1349 1296 676 998 1698

Elmer’s estimation: 995 540 1175 1350 605 970 1520

Step 2

a)

Construct a 99% C.I for the mean of the population differences

They give that the population difference is equal to (Zeke’s estimate – Elmer’s estimate)

Hence, difference is 63 4 174 -54 71 28 178

Mean of the difference is 43.4286.

Standard deviation is 72.3460.

x-xbar
X
square
63 19.5714 383.0397
4 -39.4286 1554.614
14 -29.4286 866.0425
-54 -97.4286 9492.332
71 27.5714 760.1821
28 -15.4286 238.0417
178 134.5714 18109.46
31403.71
total
304
average 43.42857
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x-xbar X square 63 19.5714 383.0397 4 -39.4286 1554.614 14 -29.4286 866.0425 -54 -97.4286 9492.332 71 27.5714 760.1821 28 -15.4286 238.0417 178 134.5714 18109.46 31403.71 total 304 average 43.42857

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Step 3
Σ- )
σΕ
n-1
Σ&-5
7-1
Β1403.71
6
5.233.95
σ- 72.3460
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Image Transcriptionclose

Σ- ) σΕ n-1 Σ&-5 7-1 Β1403.71 6 5.233.95 σ- 72.3460

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