Please provide anaswer and reference(s) to the question below from a classmate.Thank you in advance!
Class,
I am having a problemwith the following problem:
A certain brand ofautomobile tire has a mean life span of 39,000 miles and a standarddeviation of 2,250 miles.​ (Assume the life spans of the tires havea​ bell-shaped distribution.)
For the life span of34,000 miles, z-score is = 34,000 x 39,000 = -2.22
2,250
For the life span of34,000 miles, z-score is = 38,000 x 39,000 = -0.44
2,250
For the life span of34,000 miles, z-score is = 31,000 x 39,000 = -3.56
2,250
The following is thepart I am having trouble with:
The life spans ofthree randomly selected tires are 34,500 miles, 43,500 miles, and39,000
miles. Using theempirical​ rule, find the percentile that corresponds to each lifespan:
1. The life span34,500 miles corresponds to the ___th percentile?
2. The life span43,500 miles corresponds to the ___th percentile?
3. The life span39,000 miles corresponds to the ___th percentile?
I have found in thetext in Chapter 2, p.88 where it talks about Empirical Rules andBell-Shaped Distribution. I did find that number 3 is \"50\"thpercentile, as it is also the mean value in this problem set.Numbers 1 and 2 I am having an issue calculating. Any help from mybattle buddies would be outstanding. Thank you in advance!
Reference:
Larson, R. &Farber, B. (2015). Elementary Statistics: picturing theworld. 6th edition.
