The senior executive of a publishing firm would like to train employees to read faster than 1000 words per minute. A random sample of 21 employees underwent a special speed reading course. This sample yielded a mean of 1018 words per minute with a standard deviation of 30 words per minute. Do the data support the belief that the speed-reading course will enable the employees to read more than 1000 words per minute at a significance level of 0.05? Assume that reading speeds of persons who have taken the course are normally distributed.
a. How many degrees of freedom will you use?
b. Draw the null distribution and include the critical values and the test statistic.
c. Estimate the p-value for this test to draw a conclusion at the 5% significance level.