# Metropolitan Research, Inc.

653 Words3 Pages
INTRODUCTION
The following case study documents descriptive statistics done after surveys were done by a consumer research organization on the performance of automobiles produced by a Detroit manufacturer. These surveys were designed to evaluate a wide variety of products and services that were available to consumers in order to take a look at consumer satisfaction with the performance of the automobiles. The goal of this study is to identify ways to avoid early transmission problems and to gain full customer satisfaction.
OBJECTIVE
The objective is to learn more about the transmission failures by analyzing the samples used by Metropolitan of actual transmission repairs provided by a transmission repair firm in the Detroit
∝ = .05, √50=7.07107, σ 24898.71544 7.07107 = 3521.21
0.5 ~0.025 = 1.96
73340 ± 3521.21 (1.96)
73340 +6901.5716 = 80241.5716
73340 – 6901.5716 = 66438.4284
95% Confident Interval = 66438 to 80241
The 95% confidence interval for the population mean is 66,438 to 80,241. This means that there is a 95% confidence that this interval has the population mean.

Discuss the implication of your statistical findings in terms of the belief that some owners of the automobiles experienced automobile failures.
The first quartile is 59,881 and this means that 25% of the repairs were done with less than 60,000 miles on the vehicle and this means early transmission failures for this manufacturer.

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 the margin of error of 5000 miles? Use 95% confidence.

(1.96)2(24,899)2 = 96 (5000)2
For the population mean number of miles driven to transmission failure to be 5000 miles, a sample size of 96 transmission repair records will be needed.

What other information would you like to gather to evaluate the transmission failure problem more fully? I would like to know if there are any industry standards that shows the minimum amount of miles that an automobile can go before encountering transmission failure; The amount of transmission problems,