a. state your conclusion in contextb. creat and interpret a 95% confidence interval for the difference in mean words per minute between the regular and ergonomic keyboards. Doctors at a technology research facility randomly assigned people to use computer keyboards in two rooms. In one room a group of peopletyped a manuscript using standard keyboards, while in the other room a second group of people typed the same manuscript using ergonomickeyboards to see if those people could type more words per minute. The table shows the resulting data.Standard ErgonomicWords perWords perminuteminute124338352135286918584552403642375238194724466358

Standard words per minute Ergonomic words per minute 12 43 38 35 21 35 28 69 18 52 58 38…

Answered: state your conclusion in context b.…

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

a. state your conclusion in context b. creat and interpret a 95% confidence interval for the difference in mean words per minute between the regular and ergonomic keyboards.

Doctors at a technology research facility randomly assigned people to use computer keyboards in two rooms. In one room a group of people
typed a manuscript using standard keyboards, while in the other room a second group of people typed the same manuscript using ergonomic
keyboards to see if those people could type more words per minute. The table shows the resulting data.
Standard Ergonomic
Words per
Words per
minute
minute
12
43
38
35
21
35
28
69
18
58
45
52
40
36
42
37
52
38
19
47
24
46
63
58

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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