In a previous lab we tested the following hypotheses, LaTeX: H_0 H 0 : LaTeX: \mu=4.73 μ = 4.73 and LaTeX: H_a H a : LaTeX: \mu<4.73 μ < 4.73 (where LaTeX: \mu μ is the mean number of alcoholic drinks consumed by students at a liberal arts college).
In a random sample of 75 students, the mean was 3.93 alcoholic drinks consumed in a week. Here is the StatCrunch output from the hypothesis test.
LaTeX: \mu μ : Mean of variable
LaTeX: H_0 H 0 : LaTeX: \mu=4.73 μ = 4.73
LaTeX: H_A H A : LaTeX: \mu\ne4.73 μ ≠ 4.73
Hypothesis test results
Variable Sample Mean Std. Err. DF T-Stat P-value
number of drinks per week 3.9333333 0.43592434 74 -1.8275343 0.0717Using this context and the StatCrunch output, explain the meaning of each of the following.
Std. Err (standard error)
T-stat (T-score)
P-value
In a previous matched pairs lab we tested the following hypotheses, where LaTeX: \mu μ is the mean of the differences in corn yield for a plot of land (regular seed minus kiln-dried): H0: µ = 0 and Ha: µ < 0. In a random sample of 11 seeds of each type, the mean of the differences in the sample was -33.7. Here is a StatCrunch print-out of the hypothesis test.
Paired T hypothesis test:
LaTeX: \mu_D=\mu_1-\mu_2 μ D = μ 1 − μ 2 : Mean of the difference between Regular seed and Kiln-dried seed
LaTeX: H_0 H 0 : LaTeX: \mu_D=0 μ D = 0
LaTeX: H_A H A : LaTeX: \mu_D<0 μ D < 0
Hypothesis test results
Difference Mean Std. Err. DF T-Stat P-value
Regular seed - Kiln-dried seed -33.727273 19.951346 10 -1.6904761 0.0609Differences stored in column, Differences.
Using this context and the StatCrunch output, explain the meaning of each of the following.
Std. Err (standard error)
T-stat (T-score)
P-value.
Sample Solution