A new technology company, TechBright, has developed a battery that they claim has a longer lifespan than the product sold by its main competitor, Elektrik. A survey has been completed recording the battery life, in hours, of 12 batteries from each company. The results are shown in the table below.
TechBright | 10.2 | 13.8 | 12.6 | 13.5 | 11.8 | 15.3 | 12.9 | 13.2 | 13.1 | 12.1 | 12.3 | 13.2 |
Elektrik | 11.1 | 12.4 | 12.2 | 13.6 | 13.5 | 9.5 | 12.6 | 13.0 | 11.8 | 12.2 | 12.4 | 12.1 |
State the null and alternative hypotheses.
Perform a t-test at the 5% significance level.
State the conclusion of this test, giving a reason for your answer.
If the test had instead been conducted at a significance level of 10%, state the conclusion for the t-test, giving a reason for your answer.
Determine if TechBright is correct in claiming that their batteries have a longer lifespan than those created by Elektrik. Justify your answer.
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