4. A standardized memory test has a mean of µ = 100 and a standard deviation of σ= 10. Answer the following questions:a. What proportion of people would score below 88 on the memory test?b. What is the percentile rank for someone who scored a 116 on the memory test?c. What are the scores that separate the middle 30% (15% on each side of the mean)d. What percent of individuals would score between 86 and 109Use table below (A)Z0.500.510.520.530.540.550.560.570.580.590.600.610.620.630.640.650.660.670.680.69(B)Proportionin Body0.700.71073.6915.6950.6985.7019.7054.7088.7123.7157.7190.7224.7257.7291.7324.7357.7389.7422.7454.74867517.7549.7580.76117673(C)Proportionin Tail.3085.3050.3015.2981.2946.2912.2877.2843.2810.27762743.2709.2676.2643.26112578.2546.2514.2483.2451.2420.23892327(D)ProportionBetween Mean and z.1915.1950.1985.2019.2054.208821232157.21902224.2257.2291.23242357.2389.2422.2454.2486.2517.2549.2580.26112673O(A)Z1.001.011.021.031.041.051.061.071.081.091.101.121.131.141.151.161.181.191.201.21123(B)Proportionin Body.8413.8438.8461.8485.8508.8531.85548577.85998621.8643.8665.86868708.8729.8749.8770.8790.8810.8830.8849.88698907W(C)Proportionin Tail1587.1562.1539.1515.1492.1469.144614231401.137913571335131412921271125112301210119011701151.11311093(D)ProportionBetween Mean and z.3413.3438.3461.3485.3508.3531.3554.3577.3599.3621.3643.3665.3686.3708.3729.3749.3770.3790.3810.3830.3849.38693907ОР

Given that a standardized memory test has a mean, μ=100 and a standard deviation, σ=10.

Answered: 4. A standardized memory test has a…

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

4. A standardized memory test has a mean of µ = 100 and a standard deviation of σ
= 10. Answer the following questions:
a. What proportion of people would score below 88 on the memory test?
b. What is the percentile rank for someone who scored a 116 on the memory test?
c. What are the scores that separate the middle 30% (15% on each side of the mean)
d. What percent of individuals would score between 86 and 109

Use table below

(A)
Z
0.50
0.51
0.52
0.53
0.54
0.55
0.56
0.57
0.58
0.59
0.60
0.61
0.62
0.63
0.64
0.65
0.66
0.67
0.68
0.69
(B)
Proportion
in Body
0.70
0.71
073
.6915
.6950
.6985
.7019
.7054
.7088
.7123
.7157
.7190
.7224
.7257
.7291
.7324
.7357
.7389
.7422
.7454
.7486
7517
.7549
.7580
.7611
7673
(C)
Proportion
in Tail
.3085
.3050
.3015
.2981
.2946
.2912
.2877
.2843
.2810
.2776
2743
.2709
.2676
.2643
.2611
2578
.2546
.2514
.2483
.2451
.2420
.2389
2327
(D)
Proportion
Between Mean and z
.1915
.1950
.1985
.2019
.2054
.2088
2123
2157
.2190
2224
.2257
.2291
.2324
2357
.2389
.2422
.2454
.2486
.2517
.2549
.2580
.2611
2673
O
(A)
Z
1.00
1.01
1.02
1.03
1.04
1.05
1.06
1.07
1.08
1.09
1.10
1.12
1.13
1.14
1.15
1.16
1.18
1.19
1.20
1.21
123
(B)
Proportion
in Body
.8413
.8438
.8461
.8485
.8508
.8531
.8554
8577
.8599
8621
.8643
.8665
.8686
8708
.8729
.8749
.8770
.8790
.8810
.8830
.8849
.8869
8907
W
(C)
Proportion
in Tail
1587
.1562
.1539
.1515
.1492
.1469
.1446
1423
1401
.1379
1357
1335
1314
1292
1271
1251
1230
1210
1190
1170
1151
.1131
1093
(D)
Proportion
Between Mean and z
.3413
.3438
.3461
.3485
.3508
.3531
.3554
.3577
.3599
.3621
.3643
.3665
.3686
.3708
.3729
.3749
.3770
.3790
.3810
.3830
.3849
.3869
3907
ОР

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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