Reference no: EM132401556

Suppose you work for Fender Guitar Company and you are responsible for testing the integrity of a new formulation of guitar strings. To perform your analysis, you randomly select 53 'high E' strings and put them into a machine that simulates string plucking thousands of times per minute. You record the number of plucks each string takes before failure and compile a dataset. You find that the average number of plucks is 5,003 with a standard deviation of 224.4. A 90% confidence interval for the average number of plucks to failure is (4,951.4, 5,054.6). From the option listed below, what is the appropriate interpretation of this interval?

1) We cannot determine the proper interpretation of this interval.

2) We are 90% confident that the average number of plucks to failure for all 'high E' strings tested is between 4,951.4 and 5,054.6.

3) We are 90% confident that the proportion of all 'high E' guitar strings fail with a rate between 4,951.4 and 5,054.6.

4) We are certain that 90% of the average number of plucks to failure for all 'high E' strings will be between 4,951.4 and 5,054.6.

5) We are 90% confident that the average number of plucks to failure for all 'high E' strings is between 4,951.4 and 5,054.6.