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6. Here are a sample scores for a random sample of students in class collected to estimate the mean score for all students. Suppose population of scores follow normal distribution. 40 26 39 14 42 45 25 23 26 46 19 21 36 58 36 39 58 69 64 78 45 35 38 47 65 78 41 57 i. Describe the parameter. Is it know? j. What is the goal of the confidence interval?
(#6 continued..) k. Then, find all necessary statistics using the sample values to build a 95% confidence - interval for mean score of all. 95% level Margin of Error: Confidence Interval iii. Find the suitable sample size to cut down the previous margin of error into 1/3rd iv. How is the length of the confidence interval changes as we increase the sample size?