The Baldwin Piano Company has long argued that their method of teaching people to play the piano is superior to that of its competitors. To estimate any difference in the length of time required to learn the basic techniques, as the new staff analyst for Baldwin, you select 100 students who used your method and find the mean time was 159 hours with s = 38.6 hours for your method. In a sample of 120 students using competitor’s method, the mean was 184 hours with s = 58.6. a) Construct a 99% confidence interval for the difference in means. b) Test the hypothesis, at the 5% level, that the Baldwin method reduces the time needed to learn the piano

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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The Baldwin Piano Company has long argued that their method of teaching people to play the piano is superior to that of its competitors. To estimate any difference in the length of time required to learn the basic techniques, as the new staff analyst for Baldwin, you select 100 students who used your method and find the mean time was 159 hours with s = 38.6 hours for your method. In a sample of 120 students using competitor’s method, the mean was 184 hours with s = 58.6.
a) Construct a 99% confidence interval for the difference in means.

b) Test the hypothesis, at the 5% level, that the Baldwin method reduces the time needed to learn the piano.

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