The annual earnings (in dollars) of 35 randomly selected microbiologists are sho
ID: 3245823 • Letter: T
Question
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.
100,211
81,121
78,342
67,957
51,147
67,373
93,636
65,550
79,611
74,416
44,351
87,282
60,422
58,215
54,735
77,920
47,990
99,391
81,554
93,294
63,861
74,910
50,594
60,833
91,810
84,434
79,282
64,526
74,272
57,281
46,863
89,036
75,767
62,187
82,193
100,211
81,121
78,342
67,957
51,147
67,373
93,636
65,550
79,611
74,416
44,351
87,282
60,422
58,215
54,735
77,920
47,990
99,391
81,554
93,294
63,861
74,910
50,594
60,833
91,810
84,434
79,282
64,526
74,272
57,281
46,863
89,036
75,767
62,187
82,193
Explanation / Answer
data=c(100211,
81121,
78342,
67957,51147,
67373,
93636,
65550,79611,
74416,
44351,
87282,
60422,
58215,
54735,
77920,47990,
99391,
81554,
93294,
63861,
74910,
50594,
60833,
91810,
84434,
79282,
64526,
74272,
57281,
46863,
89036,75767,
62187,
82193)
mean(data)
sd(data)
oupput
> mean(data)
[1] 72067.63
> sd(data)
[1] 15495.46
C.I=[qnorm(.01)*sd(data)+mean(data), qnorm(.99)*sd(data)+mean(data)
[36019.8,108115.5]
Thanks
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