# learn by doing 1

### Prompt

1. In a previous lab we tested the following hypotheses, H

0
: Î¼

=

4.73
and H

a
: <img src="https://4cd.instructure.com/equation_images/%255Cmu%253C4.73" alt="LaTeX: mu

Î¼

<

4.73
(where Î¼
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. Î¼

: Mean of variable H

0
: Î¼

=

4.73 H

A
: Î¼

â‰

4.73

Hypothesis test results
VariableSample MeanStd. Err.DFT-StatP-value
number of drinks per week3.93333330.4359243474-1.82753430.0717

Using this context and the StatCrunch output, explain the meaning of each of the following.

1. Std. Err (standard error)
2. T-stat (T-score)
3. P-value
2. In a previous matched pairs lab we tested the following hypotheses, where Î¼
is the mean of the differences in corn yield for a plot of land (regular seed minus kiln-dried): H0: Âµ = 0 and Ha: Âµ < 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: Î¼

D

=

Î¼

1

âˆ’

Î¼

2

: Mean of the difference between Regular seed and Kiln-dried seed H

0
: Î¼

D

=

0 H

A
: <img src="https://4cd.instructure.com/equation_images/%255Cmu_D%253C0" alt="LaTeX: mu_D

Î¼

D

<

0

Hypothesis test results
DifferenceMeanStd. Err.DFT-StatP-value
Regular seed – Kiln-dried seed-33.72727319.95134610-1.69047610.0609

Differences stored in column, Differences.

Using this context and the StatCrunch output, explain the meaning of each of the following.

1. Std. Err (standard error)
2. T-stat (T-score)
3. P-value.

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