1. how do you complete parts (a) through (c) below?

a) Determine the critical value(s) for a right-tailed test of a population mean at the =0.050.05 level of significance with 10 degrees of freedom.

(b) Determine the critical value(s) for a left-tailed test of a population mean at the =0.010 level of significance based on a sample size of n =2020.

(c) Determine the critical value(s) for a two-tailed test of a population mean at the =0.10 level of significance based on a sample size of n=16

2. A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with =521. The teacher obtains a random sample of 2200 students, puts them through the review class, and finds that the mean math score of the 2200 students is 528 with a standard deviation of 113.

Complete parts (a) through (d) below.

(b)Test the hypothesis at the alpha equals=0.10 level of significance. Is a mean math score of 528 statistically significantly higher than 521? Conduct a hypothesis test using the P-value approach. Find the test statistic.

3. A simple random sample of size n =200 drivers were asked if they drive a car manufactured in a certain country. Of the 200 drivers surveyed, 103 responded that they did. Determine if more than half of all drivers drive a car made in this country at the = 0.05 level of significance. Complete parts (a) through (d).

(a) Determine the null and alternative hypotheses.