Assignment:
The director of a Masters' program wants to assess the average IQ of her students. A sample of 18 students yields the following results:
|
130,
|
122,
|
119,
|
142,
|
136,
|
127,
|
120,
|
152,
|
141
|
|
132,
|
127,
|
118,
|
150,
|
141,
|
133,
|
137,
|
129,
|
142
|
• Build a 95% confidence interval for the average IQ.
• Assuming that IQ is normally distributed, how would you estimate the probability that IQ is larger than 130? What if you do not want to assume normality? Compare the two approaches.
Provide complete and step by step solution for the question and show calculations and use formulas.