Researchers equipped random samples of 46 male and 58 femalestudents from a large university with a small device that secretlyrecords sound for a random 30 seconds during each 12.5-minuteperiod over two days. Then they counted the number of words spokenby each subject during each recording period and, from this,estimated how many words per day each subject speaks. The femaleestimates had a mean of 16,177 words per day with a standarddeviation of 7520 words per day. For the male estimates, the meanwas 16,569 and the standard deviation was 9108. Do these dataprovide convincing evidence of a difference in the average numberof words spoken in a day by male and female students at thisuniversity?
a) What is the critical value for this test?
b) What is the p-value for this test?
c) What is the test statistic for this test?
d) What is the decision for this test?
