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Here is a sample of ACT scores (average of the Math, English, Social Science, and Natural Science scores) for students taking college freshman calculus:
24.00
28.00
27.75
27.00
24.25
23.50
26.25
25.00
30.00
23.25
21.50
26.00
24.50
22.50
28.25
21.25
19.75
a. Using an appropriate graph, see if it is plausible that the observations were selected from a normal distribution.
b. Calculate a two-sided 95% confidence interval for the population mean.
c. The university ACT average for entering fresh- men that year was about 21. Are the calculus students better than average, as measured by the ACT?
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