Question

In: Statistics and Probability

Given the following data set. Name Homework Midterm Final Frank 97 95 92 Emily 93 92...

Given the following data set.

Name Homework Midterm Final

Frank 97 95 92

Emily 93 92 96

William 95 90 88

Janet 88 83 75

Betty 86 79 84

Joe 85 82 86

Bob 72 63 72 1

(a) Calculate the mean and standard deviation of all final scores.

(b) Construct a 95% confidence interval for the mean homework score.

(c) Given α = .05, determine whether the mean of Midterm is more than 85. Set up appropriate hypotheses, calculate your test statistic and report your P-value.

Solutions

Expert Solution

a) For final scores,

Mean of all final scores = 84.71429

standard deviation of all final scores = 8.654754  

b) Let denotes the mean homework score.

c) Let denotes the mean of Midterm score.

orchestra answered 2 years ago
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