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Hypothesis Testing and t-Test Analysis in Comparative Studies

A study on hypothesis testing and t-test analysis, aimed at evaluating the relationship between two sample groups.

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    Hypothesis Testing and t - Test Analysis in Comparative Studies Chapter 14 Homework Questions 1 - 5 below are based on the following scenario: A dog food manufacturer believes that he may have found a way to improve the taste of the dog food made by his company. However, he is not certain if the dogs will like the taste of the new formula. To test the new process, the company recruited 12 dogs. The dogs were given the original food and the time required to eat a standard portion of the food was measured. Two days later the same dogs were fed the same quantity of the new formula and the time was measured again. The following times were recorded: Dog Old Process New Process A 125 120 B 115 118 C 120 120 D 140 120 E 137 131 F 150 142 G 124 125 H 132 121 I 119 117 J 147 148 K 160 135 L 135 128 1. Based on the scenario, should the alternative hypothesis be directional or non - directional? • The hypothesis is testing whether dogs prefer the new food (eat faster) or not. • Since we are interested in knowing if there is any difference in either direction (whether the dogs eat faster or slower), the hypothesis is non - directional . Answer: Non - di rectional 2. What is the value of t obt ?

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