In a random sample of 8 students, the number of hours they study for the stat class per week are: 12, 8, 4.5, 10, 5, 7.5, 4, and 7. a. Test the null hypothesis if the population's average number of hours studied is at most 5.50 hours, using a=0.05. Calculate the (approximate) p-value. b. Test for if population variance (0²) is equal to 5, use α=0.10. c. What assumptions are necessary for your results' validity in parts a and b?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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In a random sample of 8 students, the number of hours they study for the stat class per
week are:
12, 8, 4.5, 10, 5, 7.5, 4, and 7.
a. Test the null hypothesis if the population's average number of hours studied is at
most 5.50 hours, using a=0.05. Calculate the (approximate) p-value.
b. Test for if population variance (0²) is equal to 5, use α=0.10.
c. What assumptions are necessary for your results' validity in parts a and b?
Transcribed Image Text:In a random sample of 8 students, the number of hours they study for the stat class per week are: 12, 8, 4.5, 10, 5, 7.5, 4, and 7. a. Test the null hypothesis if the population's average number of hours studied is at most 5.50 hours, using a=0.05. Calculate the (approximate) p-value. b. Test for if population variance (0²) is equal to 5, use α=0.10. c. What assumptions are necessary for your results' validity in parts a and b?
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