82256 What other information would you like to gather to evaluate the transmissi

Question

82256

What other information would you like to gather to evaluate the transmission failure problem more fully? The only variable in this data set is Miles Driven, recommend three other variables that might provide useful information in evaluating this problem.

Part 2: Sample Size Determination

How many repair records should be sampled if the research firm wants the population mean number of miles driven until transmission failure to be estimated with a margin of error of 5000 miles? Use 95% confidence and show all your work, not just the final number. Remember, with sample size determination to always round up to the nearest whole number to oversatisfy the criteria.

Miles 85092 39323 64342 74276 74425 37831 77539 32609 89641 61978 66998 67202 89341 88798 59465 94219 67998 40001 118444 73341 77437 116803 59817 72069 53500 85288 32534 92857 101769 25066 79294 138114 64090 63436 95774 77098 64544 53402 32464 65605 121352 69922 86813 85586 59902 85861 69568 35662 116269

82256

Explanation / Answer

Part 1

For the prediction of miles driven at failure, we need to use other related variables. We recommend other variables as weight of trucks, engine capacity of trucks, quality of roads, tyre performance, etc.

Part 2

Sample size determination

From the given data, the estimate for population standard deviation is given as below:

Estimate for population standard deviation = = 24898.72 approximately

Margin of error = E = 5000

Confidence level = 95%

Critical Z-value = Z = 1.96

(By using Z-table)

Sample size formula is given as below:

Sample size = n = (Z*/E)^2

Sample size = n = (1.96*24898.72/5000)^2 = 95.26342

Sample size needed = 96

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