Name 2. A school counselor wants to know how smart the students in her school ar
ID: 3321976 • Letter: N
Question
Name 2. A school counselor wants to know how smart the students in her school are. She gets funding from the principal to give an IQ test to an SRS of 60 of the over 1000 students in the school. The mean IQ score was 114.98 and the standard deviation was 14.80. Date a) Describe the parameter in this setting. b) Explain why the Normal condition is met in this case. c) Construct a 90% confidence interval for the mean IQ score of students at the school. d) Interpret your result from part (c) in context.Explanation / Answer
a) mu is the average IQ score
b) Normal conditions are met
1. Random sampling is done
2. sample size <= 0.1*population size
c)
d) Interpretation: If another sample of size 60 is drawn from the same population, we are 90% confident that mean of the sample falls in the above CI
CI for 90% n 60 mean 114.98 z-value of 90% CI 1.6449 std. dev. 14.8 SE = std.dev./sqrt(n) 1.91067 ME = z*SE 3.14278 Lower Limit = Mean - ME 111.83722 Upper Limit = Mean + ME 118.12278 90% CI (111.8372 , 118.1228 )Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.