(a) A sample of 12 of bags of Calbie Chips were weighed (to the nearest gram), and listed here as follows. 219, 226, 217, 224, 223, 216, 221, 228, 215, 229, 225, 229 Find a 95% confidence interval for the mean mass of bags of Calbie Chips.

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4. (a) A sample of 12 of bags of Calbie Chips were weighed (to the nearest gram), and listed
here as follows.
219, 226, 217, 224, 223, 216, 221, 228, 215, 229, 225, 229
3
Find a 95% confidence interval for the mean mass of bags of Calbie Chips.
(b) Professor GeniusAtCalculus has two lecture sections (A and B) of the same 4th year
Advanced Calculus (AMA 4301) course in Semester 2. She wants to investigate whether
section A students maybe "smarter" than section B students by comparing their perfor-
mances in the midterm test. A random sample of 12 students were taken from section
A, with mean midterm test score of 78.8 and standard deviation 8.5; and a random
sample of 9 students were taken from section B, with mean midterm test score of 86
and standard deviation 9.3. Assume the population standard deviations of midterm test
scores for both sections are the same. Construct the 90% confidence interval for the
difference in midterm test scores of the two sections. Based on the sample midterm test
scores from the two sections, can Professor GeniusAtCalculus conclude that there is any
evidence that one section of students are "smarter" than the other section? Justify your
conclusions.
Transcribed Image Text:4. (a) A sample of 12 of bags of Calbie Chips were weighed (to the nearest gram), and listed here as follows. 219, 226, 217, 224, 223, 216, 221, 228, 215, 229, 225, 229 3 Find a 95% confidence interval for the mean mass of bags of Calbie Chips. (b) Professor GeniusAtCalculus has two lecture sections (A and B) of the same 4th year Advanced Calculus (AMA 4301) course in Semester 2. She wants to investigate whether section A students maybe "smarter" than section B students by comparing their perfor- mances in the midterm test. A random sample of 12 students were taken from section A, with mean midterm test score of 78.8 and standard deviation 8.5; and a random sample of 9 students were taken from section B, with mean midterm test score of 86 and standard deviation 9.3. Assume the population standard deviations of midterm test scores for both sections are the same. Construct the 90% confidence interval for the difference in midterm test scores of the two sections. Based on the sample midterm test scores from the two sections, can Professor GeniusAtCalculus conclude that there is any evidence that one section of students are "smarter" than the other section? Justify your conclusions.
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