Use the Traditional Method of Hypothesis Testing to Test the Given

question 108

Essay

Use the traditional method of hypothesis testing to test the given claim about the means of two populations. Assume that two dependent samples have been randomly selected from normally distributed populations.
-Ten different families are tested for the number of gallons of water a day they use before and after viewing a conservation video. At the 0.05 significance level, test the claim that the mean is the same before and after the viewing. $$\begin{array} { l l l l l l l l l l l } \text { Before } & 33 & 33 & 38 & 33 & 35 & 35 & 40 & 40 & 40 & 31 \\\hline \text { After } & 34 & 28 & 25 & 28 & 35 & 33 & 31 & 28 & 35 & 33\end{array}$$

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Definitions:

Coupon

A voucher or code that entitles the holder to a discount off a particular product or service, or a certificate of interest payment on a bond.

Marginal Cost

The expense associated with manufacturing or providing an additional unit of an item or service.

Marginal Benefit

The additional satisfaction or utility gained by consuming one more unit of a good or service.

Diamond

A precious gemstone formed from carbon under high pressure and temperature, valued for its brilliance, clarity, and rarity.