Please help me answer the following:

HYPOTHESIS TESTING

1. First graders in the state of Virginia get an average score of 20 on a reading test (higher score reflect higher levels of performance). A teacher is using a new method to teach reading. She predicts that by the end of the first grade, students getting her new method will have significantly higher scores on reading than those in the population. The mean of the 25 students in her class is 23.2 and the standard deviation of the students in the class is 4.7.

a. State the null (Ho) and alternative (Ha) hypothesis.

b. Choose the level of significance () and sample size (n).

c. Determine the test statistics.

d. State the rejection region and critical value.

e. Collect the data and compute the value.

f. Make a statistical decision.

g, State the conclusion

2. As part of college entrance requirements, let's say that all first-year college students in Vermont are required to take an intelligence test. The mean I.Q. score for all students taking the test is 108. The mean of a sample of 45 students from the University of Vermont is 113. The standard deviation of the population is 8.6. Is the mean of college students from the University of Vermont significantly different from the mean of all first year college students in Vermont?

a. State the null (Ho) and alternative (Ha) hypothesis.

b. Choose the level of significance () and sample size (n).

c. Determine the test statistics.

d. State the rejection region and critical value.

e. Collect the data and compute the value.

f. Make a statistical decision.

g, State the conclusion