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N A C Secure https:// ve u/webapps/assessment/take/take jsp?course assessment id 370849 1&course; id P P O bellevue.ed Apps ia A ALEKS: Munirah H N Netflix Question Completion Status: A Click Submit to complete this assessment. Question 5 of 5 Question 5 10 points Save Answer A local insurance company is analyzing the cost of the two body shops their customers tend to use in hopes to save money. They randomly select 10 bills from their files of claim payments made in the last year to see if one company tends to be cheaper than the other. The data are shown below. Crash-tastic Mr. Fix lt 1120 980 1660 130 2570 1450 1700 3660 2530 3090 3970 3400 2950 1880 2190 4590 4030 1050 1130 htt //www.stat crunch.com/a ndex.php?dataid-1846706&m; ata tru Part 1 of 2: 5 pts What inference procedure (test or interval BESPECIFIC!) would be appropriate to use to determine if there is a significant difference in repair costs. Explain why you made the choice you did! Part 2 of 2: 5 pts Check each appropriate condition in detail and indicate if you could proceed with the test. If you can proceed, write the hypothesis, then use technology to compute the test statistic (t or z score) and P-value. Give both values and your conclusion. If you cannot proceed, explain why, sighting the condition that wasn't met and why.Explanation / Answer
We shall use two sample independent t-test to test the significance of difference between the two samples, since the samples are from two different populations and the sample size is small.
The R code for the test is:
crash <- c(980,1100,2130,1450,2530,3090,3400,2190,4590,1050)
fixit <- c(1120,1660,2670,1700,3660,3970,2950,1880,4030,1130)
t.test(crash,fixit, paired=FALSE)
The result is:
Welch Two Sample t-test
data: crash and fixit
t = -0.43583, df = 17.967, p-value = 0.6681
alternative hypothesis: true difference in means is not equal to 0
95 percent confidence interval:
-1315.571 863.571
sample estimates:
mean of x mean of y
2251 2477
Since p value is very large (>0.05) we fail to reject the null hypothesis and conclude that there is no significant difference between these two samples.
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