You were interested in how long the average psychology major at your college studies per night, so you asked 10 psychology majors to tell you the amount they study. They told you the following times: 2, 1.5, 3, 2, 3.5, 1, 0.5, 3, 2, 4.
(a) Find the 95% confidence interval on the population mean.
Mean = 2.25 N = 10 and σ = 10544
=Mean ± 1.96 * σ/√N
=2.25 + 1.96 (1.0544/√10)
=2.25 + 0.206662√10
=2.903524
=2.904
=2.25 - 1.96 (1.0544/√10)
=2.25 - 0.206662√10
=1.596476
=1.596
Answers = (1.596, 2.904)
(b)Find the 90% confidence interval on the population mean.
Mean ± 1.645 * σ/√N
=2.25 + 1.645(1.0544/√10)
=2.25 + 0.173449√10
=2.798493
=2.798
=2.25 - 1.645(1.0544/√10)
=2.25 - 0.173449√10
=1.701507
=1.701
Answers = (1.701, 2.798)
