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. 100,481 80,500 77,492 68,137 51,154 67,844 94,595 65,771   78,913 73,903 44,543 87,265 60,856 57,435 54,820 77,763   47,477 98,525 81,061 92,856 63,650 74,364 50,811 60,577   91,155 83,675 80,486 63,963 73,792 56,780 47,040 88,929   75,943 61,491 82,415                   ​(a) Find the sample mean.   x= ​(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.
100,481
80,500
77,492
68,137
51,154
67,844
94,595
65,771
 
78,913
73,903
44,543
87,265
60,856
57,435
54,820
77,763
 
47,477
98,525
81,061
92,856
63,650
74,364
50,811
60,577
 
91,155
83,675
80,486
63,963
73,792
56,780
47,040
88,929
 
75,943
61,491
82,415
 
 
 
 
 
 
 
 
 
​(a) Find the sample mean.
 
x=
​(Type an integer or decimal rounded to two decimal places as​ needed.)
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