Homework: MAT 200 Week 6 HW Score: 76.28%, 22.88 of Question 20, 6.2.32-T Homework (Graded 30 points Part 3 of 3 Assignment) Points: 0 of 1 Save 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. 100.485 81,261 77,332 68,183 51,907 67,852 94.071 66.210 79,419 74, 111 44,753 87,328 60,761 57,869 55,044 78,140 47,856 99,033 80.827 93,091 63,124 74,545 51.094 60,592 92,444 84,258 79,521 64 245 73,939 56,601 47,094 89.414 75,041 61,767 82,400 x = 72.046.06 (Type an integer or decimal rounded to two decimal places as needed. (b) Find the sample standard deviation s = 15.463.56 (Type an integer or decimal rounded to two decimal places as needed.) c) Construct a 98% confidence interval for the population mean 65 665 SH - 78,427 Round to the nearest integer as needed