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.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.99,48880,30778,45867,83051,42267,71994,02366,36379,36474,23144,78786,25760,94257,49655,19778,90647,89099,43681,17893,18663,09375,05651,07960,70791,76983,60280,39763,92673,71056,52447,07289,68275,48861,43182,312 (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.)

Answered: The annual earnings (in dollars) of 35…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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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.

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.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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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

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