Need answers for THREE questions below:

A research study investigated differences between male and female students. Based on the study results, we can assume the population mean and standard deviation for the GPA of male students are= 3.5 and= 0.5. Suppose a random sample of 100 male students is selected and the GPA for each student is calculated. Find the interval that contains 95.44 percent of the sample means for male students

For the following hypothesis test, whereH₀: 10; vs.H_A:> 10, we rejectH₀at level of significanceand conclude that the true mean is greater than 10, when the true mean is really 8. Based on this information, we can state that we have

a) made a Type I error.

b)made a Type II error.

c)made a correct decision.

d)increased the power of the test.

Assuming that the null hypothesis is true, the ______________ is the probability of observing a value of the test statistic that is at least as extreme as the value actually computed from the sample data.

a)

b)

c) p-value

d) Type I error