Use this data to calculate the mean WISC score, x, for these 40 students. Next, compute the standard deviation, SD, of the sampling distribution of the sample mean, assuming that the standard deviation of WISC scores for students in the district is the same as for the population as a whole. Finally, determine both the lower and upper limits of a 95% z-confidence interval for u, the mean score for all students in the school district who are enrolled in gifted and talented programs.

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Can I get more clarification on the low end. 

 

113.7 Is not correct. 

 

 

Score
122
117
128
142
106
104
116
118
95
139
142
125
116
104
122
105
98
113
123
115
164
116
111
137
132
133
95
111
125
112
140
121
100
99
130
115
149
91
118
99

 

The Weschler Intelligence Scale for Children (WISC) is an intelligence test designed for children between the ages of 6
and 16. The test is standardized so that the mean score for all children is 100 and the standard deviation is 15.
Suppose that the administrators of a very large and competitive school district wish to estimate the mean WISC score for
all students enrolled in their programs for gifted and talented children. They obtained a random sample of 40 students
currently enrolled in at least one program for gifted and talented children. The test scores for this sample are as follows:
122 117 128 142 106 104
116
118
95 139 142 125 116 104 122 105
98 113
123
115
164
116
II
137 132 133
95
125
112
140
121
100
99
130
115
149
91
118
99
Click to download the data in your preferred format.
Crunchlt! CSV Excel JMP Mac Text Minitab PC Text R SPSS TI Calc
Use this data to calculate the mean WISC score, x, for these 40 students. Next, compute the standard deviation, SD, of the
sampling distribution of the sample mean, assuming that the standard deviation of WISC scores for students in the district
is the same as for the population as a whole. Finally, determine both the lower and upper limits of a 95% z-confidence
interval for u, the mean score for all students in the school district who are enrolled in gifted and talented programs.
Give x and the limits of the confidence interval precise to one decimal place, but give the standard deviation to at least
three decimal places in order avoid rounding errors when computing the limits.
118.7
SD = 2.3717
Lower limit =
Upper limit =
123.3
Transcribed Image Text:The Weschler Intelligence Scale for Children (WISC) is an intelligence test designed for children between the ages of 6 and 16. The test is standardized so that the mean score for all children is 100 and the standard deviation is 15. Suppose that the administrators of a very large and competitive school district wish to estimate the mean WISC score for all students enrolled in their programs for gifted and talented children. They obtained a random sample of 40 students currently enrolled in at least one program for gifted and talented children. The test scores for this sample are as follows: 122 117 128 142 106 104 116 118 95 139 142 125 116 104 122 105 98 113 123 115 164 116 II 137 132 133 95 125 112 140 121 100 99 130 115 149 91 118 99 Click to download the data in your preferred format. Crunchlt! CSV Excel JMP Mac Text Minitab PC Text R SPSS TI Calc Use this data to calculate the mean WISC score, x, for these 40 students. Next, compute the standard deviation, SD, of the sampling distribution of the sample mean, assuming that the standard deviation of WISC scores for students in the district is the same as for the population as a whole. Finally, determine both the lower and upper limits of a 95% z-confidence interval for u, the mean score for all students in the school district who are enrolled in gifted and talented programs. Give x and the limits of the confidence interval precise to one decimal place, but give the standard deviation to at least three decimal places in order avoid rounding errors when computing the limits. 118.7 SD = 2.3717 Lower limit = Upper limit = 123.3
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