### Prompt

- In a previous lab we tested the following hypotheses,
H

0

:Î¼

=

4.73

andH

a

: <img src="https://4cd.instructure.com/equation_images/%255Cmu%253C4.73" alt="LaTeX: muÎ¼

<

4.73

(whereÎ¼

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**Variable Sample Mean Std. Err. DF T-Stat P-value number of drinks per week 3.9333333 0.43592434 74 -1.8275343 0.0717 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

- 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_DÎ¼

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 0.0609 Differences 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.