Question

A group of tu-tors advertise that if students receive tutoring assistance from them, you will get at least an 80 on your tests. Given a sample mean of 78, and a standard deviation of 3.5 where 42 students were tested.

a).find the z value and p score.

b). How would you set up your hypothesis in numerical form?

Answer #1

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a.

P(x> 78) = P(z < (78-80)/(3.5/sqrt(42)) = .0002

So, we reject Ho since we reject Ho at alpha = .05 as p-value is less than this.

b.

The hypothesis is set this way:

Ho : Mu > = 80

Ha: Mu < 80

the p-value of .0002 is way less than alpha= .05, and therefore,
we know that we fail to reject Ho and conclude that "NO, the
advertisement by the t*tors that their tutoring assistance will get
you at least 80 **is false**.

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