The annual earnings (in dollars) of 35 randomly selected microbiologists are shown in the data table. Use the data to (a) find the sample mean, (b) find the sample standard deviation, and (c) construct a 98% confidence interval for the population mean. 77,746 67,983 51,661 99,440 81,098 79,703 73,537 44,377 87,047 67,421 93,893 66,245 47,406 98,064 81,191 92,978 91,667 84,078 79,829 64,387 75,821 62,182 82,748 60,445 63,432 74,064 57,735 54,670 78,022 75,110 50,999 60,987 57,353 46,968 89,707