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. 100,630 80,545 77,588 67,580 51,520 68,054 94,568 65,858 D 78,706 74,457 44,811 86,308 60,741 58,228 55,041 78,429 47,536 98,550 80,989 93,359 63,335 75,060 50,988 61,088 92,075 84.277 80,472 64,383 74,259 56,802 47,149 89,541 75,955 61,376 83,024 ..... (a) Find the sample mean. x = 72093.77 (Type an integer or decimal rounded to two decimal places as needed.) (b) Find the sample standard deviation. s= 15478.50 (Type an integer or decimal rounded to two decimal places as needed.) (c) Construct a 98% confidence interval for the population mean. 65707

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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.
100,630 80,545
77,588 67,580 51,520
68,054 94,568
65,858 O
78,706
74,457
44,811
86,308
60,741
58,228 55,041 78,429
47,536
98,550
80,989
93,359
63,335
75,060
50,988 61,088
92,075
84,277
80,472 64,383
74,259
56,802
47,149
89,541
75,955
61,376
83.024
(.....
(a) Find the sample mean.
x= 72093.77 (Type an integer or decimal rounded to two decimal places as needed.)
(b) Find the sample standard deviation.
s= 15478.50 (Type an integer or decimal rounded to two decimal places as needed.)
(c) Construct a 98% confidence interval for the population mean.
65707 <u< 78481
(Round to the nearest integer as needed.)
Transcribed Image Text: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. 100,630 80,545 77,588 67,580 51,520 68,054 94,568 65,858 O 78,706 74,457 44,811 86,308 60,741 58,228 55,041 78,429 47,536 98,550 80,989 93,359 63,335 75,060 50,988 61,088 92,075 84,277 80,472 64,383 74,259 56,802 47,149 89,541 75,955 61,376 83.024 (..... (a) Find the sample mean. x= 72093.77 (Type an integer or decimal rounded to two decimal places as needed.) (b) Find the sample standard deviation. s= 15478.50 (Type an integer or decimal rounded to two decimal places as needed.) (c) Construct a 98% confidence interval for the population mean. 65707 <u< 78481 (Round to the nearest integer as needed.)
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