1. The accompanying data on IQ for first-graders at a university lab school 82 96 99 102 103 103 106 107 108 108 108 108 109 110 110 111 113 113 113 113 115 115 118 118 119 121 122 122 127 132 136 140 146 (a) Calculate a point estimate of the mean value of IQ for the conceptual popula- tion of all first graders in this school, and state which estimator you used. (b) Calculate a point estimate of the IQ value that separates the lowest 50% of all such students from the highest 50%, and state which estimator you used. (c) Calculate and interpret a point estimate of the population standard deviation o. Which estimator did you use?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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1. The accompanying data on IQ for first-graders at a university lab school
82
96
99
102 103
103
106
107 108
108 108
108
109
110
110
111
113
113
113
113
115 115
118
118
119
121
122
122
127
132
136
140 146
(a) Calculate a point estimate of the mean value of IQ for the conceptual popula-
tion of all first graders in this school, and state which estimator you used.
(b) Calculate a point estimate of the IQ value that separates the lowest 50% of all
such students from the highest 50%, and state which estimator you used.
(c) Calculate and interpret a point estimate of the population standard deviation
o. Which estimator did you use?
(d) Calculate a point estimate of the proportion of all such students whose IQ
exceeds 100. [Hint: Think of an observation as a "success" if it exceeds 100.]
(e) Calculate a point estimate of the population coefficient of variation o/µ, and
state which estimator you used.
Transcribed Image Text:1. The accompanying data on IQ for first-graders at a university lab school 82 96 99 102 103 103 106 107 108 108 108 108 109 110 110 111 113 113 113 113 115 115 118 118 119 121 122 122 127 132 136 140 146 (a) Calculate a point estimate of the mean value of IQ for the conceptual popula- tion of all first graders in this school, and state which estimator you used. (b) Calculate a point estimate of the IQ value that separates the lowest 50% of all such students from the highest 50%, and state which estimator you used. (c) Calculate and interpret a point estimate of the population standard deviation o. Which estimator did you use? (d) Calculate a point estimate of the proportion of all such students whose IQ exceeds 100. [Hint: Think of an observation as a "success" if it exceeds 100.] (e) Calculate a point estimate of the population coefficient of variation o/µ, and state which estimator you used.
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