Alec works for a consumer advocacy group. He has been asked to look at a battery

Question

Alec works for a consumer advocacy group. He has been asked to look at a battery company that claims its batteries last an average of 100 hours nder nornal use. There have been sevreal complaints that the batteries are dying too quickly, so he decides to test them. To do this, he randomly selects batteries and runs them until they die.

Does the data satisfy the Nearly Normal Conditions? Use the data provided and select all that apply.

Data:

Select all that apply:

a) A Normal probality plot of the data is nearly linear

b) <10% of all batteries

c)>10% of all batteries

d) A histogram of the data is unimodal and nearly symmetric

e) Random

f) Independence is not a reasonable assumption

g) Independence is a reasonable assumption

h) Not random

85.6 94.5 94.7 88.1 91.3 92.6 94.9 90.9 100.2 102.4 95.2 95.7 100.6 105.3 104.2 100.8 91.5 101.2 94.1 96.7

Explanation / Answer

If we draw the normal quantile plot then it is coming approximately linear but the histogram is coming bimodal. Also, this sample would be <10% of all batteries and it would be random and hence, we can assume independence.

Therefore,

The correct answers are:

a) A Normal probality plot of the data is nearly linear

b) <10% of all batteries

d) A histogram of the data is unimodal and nearly symmetric

e) Random

g) Independence is a reasonable assumption

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