A random sample of 12 second-year university students enrolled in Probability and Statistics course was drawn. At the course's completion, each student was asked how many hours s/he spent doing homework in statistics isted below. 28 28 22 16 27 17 25 15 26 22 19 17 It is known that the population standard deviation is o = 10. The instructor has recommended that students devote 2 hours per week for the duration of the 12-week semester, for a total of 24 hours. Test to determine whether there is evidence at the a = 0.03 significance level that the average student spent less than the recommended amount of time. Part A Calculate the sample mean: Calculate the value of the standardized test statistic:

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A random sample of 12 second-year university students enrolled in Probability and Statistics course was drawn. At the course's completion, each student was asked how many hours s/he spent doing homework in statistics. The data are
listed below.
28
28 22
16 27 17 25 15 26 22
19 17
It is known that the population standard deviation is o = 10. The instructor has recommended that students devote 2 hours per week for the duration of the 12-week semester, for a total of 24 hours.
Test to determine whether there is evidence at the a = 0.03 significance level that the average student spent less than the recommended amount of time.
Part A
Calculate the sample mean:
x =
Calculate the value of the standardized test statistic:
Transcribed Image Text:A random sample of 12 second-year university students enrolled in Probability and Statistics course was drawn. At the course's completion, each student was asked how many hours s/he spent doing homework in statistics. The data are listed below. 28 28 22 16 27 17 25 15 26 22 19 17 It is known that the population standard deviation is o = 10. The instructor has recommended that students devote 2 hours per week for the duration of the 12-week semester, for a total of 24 hours. Test to determine whether there is evidence at the a = 0.03 significance level that the average student spent less than the recommended amount of time. Part A Calculate the sample mean: x = Calculate the value of the standardized test statistic:
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