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A dog food manufacturer is using a new process to make his dog food.  He believes the...

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Statistics

A dog food manufacturer is using a new process to make his dogfood.  He believes the new process affects the taste ofthe food.  To test the new process, the company recruited9 dogs. The dogs were given the original food and the time requiredto eat a standard portion of the food was measured. Two days laterthe same dogs were fed the same quantity of the new formula and thetime was measured again. Eating faster is assumed to mean the tastewas better.  Eating slower means the taste was worse Thetimes are below. Test the hypothesis that the new process affectsthe taste of the dog food using an alpha level of .05.

Old Process

New Process

115

118

120

120

140

120

137

131

150

142

124

125

132

121

119

117

160

135

MAKE SURE TO ANSWER ALL OF THE QUESTIONS. SHOW YOUR WORK WHEREPOSSIBLE.

a) What is the appropriate test?

b) State the null hypothesis (in words and with means).

c) State the alternative hypothesis (in words and withmeans).

d) Find the critical value(s) (explain how you found it).

e) Calculate the obtained statistic (show all of your work).

f) Report the results in proper format. Make a decision.

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