Assignment:
Comparing the lifetimes of two brands of penlight batteries, a researcher has randomly selected 12 batteries of brand A and 10 of brand B, then subjected each battery to the same usage test. Given the lifetimes listed below and using the 0.05 level of significance, can we conclude that brand A is superior to brand B? Using the appropriate statistical table, what is the most accurate statement that can be made about the p-value for the test?
|
Brand A
|
93.4
|
119.1
|
94.3
|
90.0
|
66.0 92.1
|
|
|
121.4
|
92.5
|
111.6
|
87.6
|
98.0 79.2 minutes
|
|
Brand B
|
59.2
|
65.5
|
81.5
|
92.5
|
71.7
|
|
|
69.4
|
83.4
|
92.5
|
93.3
|
81.7 minutes
|
Provide complete and step by step solution for the question and show calculations and use formulas.