<p>A sample of $100$ batteries is taken from a population with mean lifetime $12$ hours and the following are obtained:</p>
<p style="text-align: center">$\sum x = 1180$ and $\sum x^{2} = 15536$</p>
<p>A statistical test is carried out at $10$% level of significance and it is found that the population mean lifetime is not $12$ hours.</p>
<ol class="i-list"><li><div class="list-item-paragraph">State what you understand by the expression at $10$% significance level in the context of the question.</div></li><li><div class="list-item-paragraph">Find the range of level of significance at which the test will indicate that the population mean lifetime is not $12$ hours.</div></li></ol>

A sample of $100$ batteries is taken from a population with mean lifetime $12$ hours and the following are obtained:

A statistical test is carried out at $10$% level of significance and it is found that the population mean lifetime is not $12$ hours.

State what you understand by the expression at $10$% significance level in the context of the question.

Find the range of level of significance at which the test will indicate that the population mean lifetime is not $12$ hours.

Meaning of level of significance and its relation to p-value

Meaning of level of significance and its relation to p-value

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