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The annual earnings (in dollars) of 35 randomly selected microbiologists are shown in the data table standard deviation, and (c) construct a 98% confidence interval for the population mean Use the data to (a) ind the sample mean,(@) ind the sample 100280 81,152 78,150 67.253 51,697 67,509 94,086 65,697 79,003 73,406 44,405 86,657 61,031 57,482 54,744 77,810 47,840 98,986 81,540 92,698 63,451 75,019 50,970 60,924 91,170 84 207 79,815 64,115 74,085 56,666 46,663 89,718 75,718 61,546 82,211 (a) Find the sample mearn x.DType annteger or decimal rounded to two decimal places as needed ) (b) Find the sample standard deviation. s(Type an integer or decimal rounded to two decimal places as needed) (c) Construct a 98% confidence interval for the population mean. Round to the nearest integer as needed.) Enter your answer in each of the answer boxes
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100,280 81,152 78,150 67,253 51,697 67,509 94,086 65,697 79,003 73,406 44,405 86,657 61,031 57,482 54,744 77,810 47,840 98,986 81,540 92,698 63,451 75,019 50,970 60,924 91,170 84,207 79,815 64,115 74,085 56,666 46,663 89,718 75,718 61,546 82,211 71,934.40 15467.77 The annual standard devaton, and (c)construct a 98% corfdence rterval for the poputton mean eamings (n dollars) of 35 randomly selected microbiologists are shown in the data table Use the data to 100,280 81,152 78,150 67253 51,697 67,509 94,06 65,697 o 9,003 73,406 44,405 86,657 61,031 57,482 54,744 77,810 7,840 98,986 81,540 92,698 63,451 75,019 50.970 60,924 91,170 84207 79815 64,115 74,085 56.666 46,663 89,718 75,718 61,546 82,211 sample mean standard deviation

formula:

89718 75718 61546 82211 sample mean standard deviation AVERAGE(G6:G40) STDEV(G6:G40)

98 % CONFIDENCE INTERVAL

65552 < µ < 78317

TO ESTIMATE A CONFIDENCE INTERVAL FOR A MEAN Enter the sample mean here: 71934.40 Enter the estimated population standard deviation here: 15467.77 Enter the sample size (eg, number of subjects) here: 35 Enter the required confidence interval (eg, 95%) here: 98 RESULT The estimated population mean is: 71934.4 The estimated CI is: 65552 to 78317

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