Question

a) State the null and alternative hypothesis.

b) Select the distribution to use.

c) Write the decision rule. (Define the rejection region.)

d) Calculate the test statistic.

e) Calculate the p-value.

f) Make a decision.

g) (Additional step for this worksheet) State the type I and II error in context of the problem.

It has been reported that the average credit card debt for college seniors at the college book store for a specific college is $3262. The student senate at a large university feels that their seniors have a debt much less than this, so it conducts a study of 50 randomly selected seniors and finds that the average debt is $2995 with a standard deviation is $1100. With an α = 0.01, is the student senate correct

The average local cell phone call length was reported to be 2.27 minutes. A random sample of 20 phone calls showed an average of 2.98 minutes in length. At an α = 0.05 can it be concluded that the average differs from the population average? Assume that the population is approximately normally distributed with a standard deviation of 0.98 minute

The percentage of physicians who are women is 27.9%. In a survey of physicians employed by a large university health system, 45 of 120 randomly selected physicians were women. Is there sufficient evidence at the 0.10 level of significance to conclude that the proportion of women physicians at the university health system exceeds 27.9%?

Answer 1