Statistical Test for Computer Lifetime Across Brands There are three brands of computers namely Dell, Lenovo, and HP. The following are the lifetime of 15 computers in years. Apply appropriate statistical tests to identify whether the average lifetime (in years) is significantly different across thr
Statistical Test for Computer Lifetime Across Brands
There are three brands of computers namely Dell, Lenovo, and HP. The following are the lifetime of 15 computers in years. Apply appropriate statistical tests to identify whether the average lifetime (in years) is significantly different across three brands of computers at a 5% level of significance. You can again tabulate the data initially in the required format for statistical analysis.
$$\begin{array}{|c|c|c|} \hline \text{Serial Number} & \text{Computer Brand} & \text{Lifetime in years} \ \hline 1 & \text{Dell} & 15 \ 2 & \text{Lenovo} & 10 \ 3 & \text{HP} & 9 \ 4 & \text{Dell} & 12 \ 5 & \text{Lenovo} & 6 \ 6 & \text{HP} & 7 \ 7 & \text{Dell} & 4 \ 8 & \text{Lenovo} & 8 \ 9 & \text{HP} & 13 \ 10 & \text{Dell} & 11 \ 11 & \text{HP} & 5 \ 12 & \text{Lenovo} & 7 \ 13 & \text{Dell} & 3 \ 14 & \text{HP} & 5 \ 15 & \text{Lenovo} & 4 \ \hline \end{array}$$
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Dell Lenovo HP ------------------ 15 10 9 12 6 7 4 8 13 11 7 5 3 4 5 - $n1 = n2 = n3 = 5$, total $N = 15$, groups $k = 3$ - Significance level $\alpha = 0.05$ Comparing means of three independent groups on a continuous variable → One-Way ANOVA. - $H0: \mu{Dell} = \mu{Lenovo} = \mu{HP}$ - $H1:$ at...