Question: A manufacturer of Blu-Ray players claims that its brand has a running life of at least 5 years. To test this claim, you gather data collected by a consumer product testing company and discover that a random sample of 46 Blu-Ray players had a sample mean running life of \(\bar{x}=4.75\) years with a standard deviation of \(s=0.75\) years.

From problem #16, if the hypothesis test is conducted at the \(\alpha=0.01\) (that is, \(1 \%)\) level of significance, and we obtained the following information, what decision would you make regarding the null hypothesis \(\left(H_{0}\right)\).

\(-t_{0}=-2.412, t=-2.24\), and the P-value is \(p=0.0152\)

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