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. 99,488 80,307 78,458 67,830 51,422 67,719 94,023 66,363 79,364 74,231 44,787 86,257 60,942 57,496 55,197 78,906 47,890 99,436 81,178 93,186 63,093 75,056 51,079 60,707 91,769 83,602 80,397 63,926 73,710 56,524 47,072 89,682 75,488 61,431 82,312 (a) Find the sample mean. x= ________ (Type an integer 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. ________<μ<________ (Round to the nearest integer as needed.)
The annual earnings (in dollars) of 35 randomly selected microbiologists are shown in the data table. Use the data to (a) find the sample
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.
|
99,488 |
80,307 |
78,458 |
67,830 |
51,422 |
67,719 |
94,023 |
66,363 |
|
79,364 |
74,231 |
44,787 |
86,257 |
60,942 |
57,496 |
55,197 |
78,906 |
|
47,890 |
99,436 |
81,178 |
93,186 |
63,093 |
75,056 |
51,079 |
60,707 |
|
91,769 |
83,602 |
80,397 |
63,926 |
73,710 |
56,524 |
47,072 |
89,682 |
|
75,488 |
61,431 |
82,312 |
|
|
|
|
|
(a) Find the sample mean.
x= ________ (Type an integer 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.
________<μ<________
(Round to the nearest integer as needed.)
(a) Find the sample mean.
x= ________ (Type an integer 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.
________<μ<________
(Round to the nearest integer as needed.)
Given information:
The annual earnings (in dollars) of n = 35 randomly selected microbiologists are provided as:
|
99,488 |
80,307 |
78,458 |
67,830 |
51,422 |
67,719 |
94,023 |
66,363 |
|
79,364 |
74,231 |
44,787 |
86,257 |
60,942 |
57,496 |
55,197 |
78,906 |
|
47,890 |
99,436 |
81,178 |
93,186 |
63,093 |
75,056 |
51,079 |
60,707 |
|
91,769 |
83,602 |
80,397 |
63,926 |
73,710 |
56,524 |
47,072 |
89,682 |
|
75,488 |
61,431 |
82,312 |
It is required to obtain:
(a) sample mean
(b) sample standard deviation
(c) a 98% confidence interval for the population mean.
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