Answered: Harwood and Naylor (1969) wondered…

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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Harwood and Naylor (1969) wondered whether visual memory changes with age. A standardized test shows that when young adults (mean age 24 years) have learned to recognize 20 line drawings of common objects, they recognize about 75% of these in a surprise test four weeks later. Harwood and Naylor conducted the same experiment with a random sample of older adults from Montreal, a second random sample of older adults from Maberly, and a third random sample of older adults from Aylmer. The researchers recorded the percentage of recognized drawings (on the surprise test) for each older participant. The data for this question is below. Use this data to answer the following question: Compute t_obs for the data collected in Aylmer. please give the answer to 5 decimal places.

83
63
59
63
55
65
66
60
80
69
65
68
87
69
70
89
68
77
82
106
76
63
50
47
80
69
71
89
72
56
73
76
70
76
79

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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