11. For the reading test, what is the probability of a score falling above 98? p
ID: 3375953 • Letter: 1
Question
11. For the reading test, what is the probability of a score falling above 98? probability
Descriptive Statistics
N
Minimum
Maximum
Mean
Std. Deviation
Readingscore
30
24.00
100.00
75.6333
18.69996
Valid N (listwise)
30
24.00?-2.76115
35.00?-2.17291
54.00?-1.15687
56.00?-1.04991
78.00?.12656
87.00?.60784
65.00?-.56863
69.00?-.35472
98.00?1.19608
78.00?.12656
85.00?.50089
69.00?-.35472
93.00?.92870
100.00?1.30303
98.00?1.19608
77.00?.07308
89.00?.71480
76.00?.01961
56.00?-1.04991
78.00?.12656
99.00?1.24956
83.00?.39394
69.00?-.35472
89.00?.71480
73.00?-.14082
60.00?-.83601
96.00?1.08913
59.00?-.88948
89.00?.71480
87.00?.60784
Descriptive Statistics
N
Minimum
Maximum
Mean
Std. Deviation
Readingscore
30
24.00
100.00
75.6333
18.69996
Valid N (listwise)
30
Explanation / Answer
what is the probability of a score falling above 98 is given by 0.1158
we use here the standard normal variate z=(x-mean)/sd
for x=98, z=(98-75.6333)/18.69996=1.1961
P(X>98)=P(Z>1.1961)=1-P(Z<1.1961)=1-0.8842=0.1158
P(Z<1.1961)=0.8842 ( using ms-excel =normsdist(1.1961)
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