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A study was conducted to measure the effectiveness of a diet program that claims to help manage weight. Subjects were randomly selected to participate. Before beginning the program, each participant was given a score based on his or her fitness level. After six months of following the diet, each participant received another score. The study wanted to test whether there was a difference between before and after scores. What is the correct alternative hypothesis for this analysis?

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JeanaShupp

Answer: The correct alternative hypothesis for this analysis :

[tex]\H_a:\mu\neq\mu_2[/tex]

Step-by-step explanation:

Let [tex]\mu_1[/tex] be the mean of scores before beginning the program and  [tex]\mu_2[/tex] be the mean of scores after beginning the program .

Since, The study wanted to test whether there was a difference between before and after scores.

Also, the null hypothesis always takes equal sign and alternative hypothesis is just opposite of it, thus the null and alternative hypothesis will be :-

[tex]H_0 : \mu_1=\mu_2\\\\H_a:\mu\neq\mu_2[/tex]

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