Preliminary Data Analyses Indicates That Use of a Paired T-Test $\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$

question 25

Essay

Preliminary data analyses indicates that use of a paired t-test is reasonable. Perform the hypothesis test by using eitherthe critical-value approach or the P-value approach as indicated. Assume that the null hypothesis is $\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$
-Ten different families are tested for the number of gallons of water a day they use before and after viewing a conservation video. The results are shown below. $\begin{array} { l c c c c c c c c c c } \text { Before } & 33 & 33 & 38 & 33 & 35 & 35 & 40 & 40 & 40 & 31 \\ \hline \text { After } & 34 & 28 & 25 & 28 & 35 & 33 & 31 & 28 & 35 & 33 \end{array}$ At the 5% significance level, do the data provide sufficient evidence to conclude that the mean amount of water use after the viewing differs from the mean amount of water use before the viewing? Use the critical-value approach.

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Definitions:

Budgeted Production

An estimation of the quantity of goods that a company plans to produce over a specific period, based on forecasted demand and inventory needs.

Raw Materials

Basic materials that are used in the manufacturing process to produce finished goods.

Budgeted Production

The anticipated volume of products a company plans to produce within a specific period, as part of its budgeting process.

Variable Overhead Rate

The cost per unit of production or activity that fluctuates with the volume of output, like utilities or material handling expenses.