Professor Smith took a sample of 191 students from her morni

Professor Smith took a sample of 191 students from her morning class and a sample of 120 students from her evening class. On Exam 1, all those sampled from the morning class got a 67 while those sampled from the evening class averaged a 69 with a variance of 166. If Professor Smith combines these two samples

Solution

combined variance = p(1-p)/n

Combined std deviation = 0.02812

morning evening combined
191 120.00 311.000000
67 69.00 136.000000
proportion 0.35078534 0.575 0.437299035
1-p 0.5627
0.25
p(1-p) 0.246069
variance combined 0.000791217
Professor Smith took a sample of 191 students from her morning class and a sample of 120 students from her evening class. On Exam 1, all those sampled from the

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