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The mean score on a particular math exam is 504. A test preparation company states that...

The mean score on a particular math exam is 504. A test preparation company states that the mean score of students who take its course is not equal to 504. Complete parts​ (a) through​ (d) below.

(a) Determine the null and alternative hypotheses.

(b) If sample data indicate that the null hypothesis should not be​ rejected, state the conclusion of the company.

(c) Suppose, in​ fact, that the mean score of students taking the preparatory course is 513. Has a Type I or Type II error been​ made? If we tested this hypothesis at the alpha=0.02 ​level, what is the probability of committing a Type I​ error?

(d) If we wanted to decrease the probability of making a Type II​ error, would we need to increase or decrease the level of​ significance?

Math   Statistics-And-Probability   
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