A social psychologist measures the average time that 20 new transfer students at an orientation party mingle with other new transfer students before selecting a chair or corner in which to settle. The average time is 6.2 min. The σM for mingling is 0.33 min. Assume that these students are a representative sample of all new transfer students.
a. What point estimate should the psychologist predict for mingle time at any other transfer orientation party?
b. In constructing an interval estimate for mingle time, what time will fall in the center of the interval?
c. The psychologist can be 90% confident that the mean mingle time for additional new transfer students will fall between which two values?
d. If the psychologist wants to be 99% confident, would the confidence interval be larger or smaller? Why?
e. If the psychologist had measured the mingle time of 28 new transfer students rather than 20, would the confidence interval be larger or smaller? Why?