The grade point averages for 10 randomly selected high school students are listed below. Assume the grade point averages are normally distributed. 2.0 3.2 1.8 2.9 0.9 4.0 3.3 2.9 3.6 0.8 a. Calculate a 90% confidence interval for the true mean grade point averages. b. The principal claims that a new after-school tutoring program has improved student GPAS to 3.0. Based on the confidence interval, is the principal telling the truth? Explain! c. What would happen to the confidence interval if the sample size was increased to 50 students? Be specific!

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The grade point averages for 10 randomly selected high school students are listed
below. Assume the grade point averages are normally distributed.
2.0 3.2 1.8 2.9 0.9 4.0 3.3 2.9 3.6 0.8
a. Calculate a 90% confidence interval for the true mean grade point averages.
b. The principal claims that a new after-school tutoring program has improved
student GPAS to 3.0. Based on the confidence interval, is the principal telling the
truth? Explain!
c. What would happen to the confidence interval if the sample size was increased to
50 students? Be specific!
Transcribed Image Text:The grade point averages for 10 randomly selected high school students are listed below. Assume the grade point averages are normally distributed. 2.0 3.2 1.8 2.9 0.9 4.0 3.3 2.9 3.6 0.8 a. Calculate a 90% confidence interval for the true mean grade point averages. b. The principal claims that a new after-school tutoring program has improved student GPAS to 3.0. Based on the confidence interval, is the principal telling the truth? Explain! c. What would happen to the confidence interval if the sample size was increased to 50 students? Be specific!
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