4. The following measurements were recorded for the drying time, in hours, of a certain brand of latex paint. [2 3 5 3 4] (a) Calculate the sample mean for these data. (b) Calculate the sample standard deviation. Show your work. (c) If we add 4 to each of the data values, what is the new mean? Explain (d) If we multiply each each of the data values by -5, what is the new standard deviation? Explain 5. The midrange is also a measure of central tendency. It is computed by adding the smallest and largest observed values of a data set and dividing the result by 2; that is, Midrange largest data value + smallest data value 2 Compute the midrange for the data in Problem 4. Is the midrange resistant? Explain. 6. Compute the sample variance of the following test scores: 78, 78, 78, 78. What can be said about a data set in which all the values are identical?