Mathematics
Cuyamaca Alcoholic Drinks Consumed by Students at A Liberal Arts College HW

### Question Description

I’m trying to learn for my Statistics class and I’m stuck. Can you help?

### Prompt

1. In a previous lab we tested the following hypotheses, $H$ 0: $\mu$ = 4.73 and $H$ a: $\mu$ < 4.73 (where $\mu$ 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.
$\mu$: Mean of variable
${H}_{}$ 0: $\mu$ = 4.73
$H$ A: $\mu$ 4.73
Hypothesis test results
VariableSample MeanStd. Err.DFT-StatP-value
number of drinks per week3.9333333 0.43592434 74 -1.8275343 0.0717
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 $\mu$ 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:
$\mu$ D = μ 1 μ 2: Mean of the difference between Regular seed and Kiln-dried seed
$H$ 0: $\mu$ D = 0
$H$ A: $\mu$ 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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1. In a previous lab we tested the following hypotheses,

H 0:

μ = 4.73 and

H a:
μ < 4.73 (where
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.
μ: Mean of variable
H 0:
...

psumanrec (4270)
New York University
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