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. 100,128 80,821 78,189 67,468 51,223 67,191 94,182 66,088   79,081 73,536 44,647 86,343 60,383 57,385 54,615 78,748   47,303 98,159 81,543 93,428 63,878 74,255 50,848 60,959   92,273 84,514 80,119 64,456 73,925 56,794 47,059 89,941   75,310 61,446 82,870                   Question content area bottom Part 1 ​(a) Find the sample mean.   x=enter your response here   ​(Type an integer or decimal rounded to two decimal places as​ needed.)

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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.
100,128
80,821
78,189
67,468
51,223
67,191
94,182
66,088
 
79,081
73,536
44,647
86,343
60,383
57,385
54,615
78,748
 
47,303
98,159
81,543
93,428
63,878
74,255
50,848
60,959
 
92,273
84,514
80,119
64,456
73,925
56,794
47,059
89,941
 
75,310
61,446
82,870
 
 
 
 
 
 
 
 
 

Question content area bottom

Part 1
​(a) Find the sample mean.
 
x=enter your response here
 
​(Type an integer or decimal rounded to two decimal places as​ needed.)
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