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.100,12880,82178,18967,46851,22367,19194,18266,088 79,08173,53644,64786,34360,38357,38554,61578,748 47,30398,15981,54393,42863,87874,25550,84860,959 92,27384,51480,11964,45673,92556,79447,05989,941 75,31061,44682,870 Question content area bottomPart 1(a) Find the sample mean. x=enter your response here (Type an integer or decimal rounded to two decimal places as needed.)

Solution-: We find, (a) The sample mean. (b) The sample standard deviation. (c) Construct a 98%…

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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.)

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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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