33. Notebook + Quiz: Impact of Sample Size

Code

If you need a code on the https://github.com/udacity.

QUIZ QUESTION::

Use the first statement in the notebook above to set up the null and alternative hypotheses.

ANSWER CHOICES:



Hypotheses

Statement

Null

Alternative

SOLUTION:

Hypotheses

Statement

Alternative

Null

QUIZ QUESTION::

Use the information from question 2 in the notebook to match each description to the correct value.

ANSWER CHOICES:



Description

Value

The population mean

The population standard deviation

The sample mean

The standard deviation of the sampling distribution for the mean of 5 values

The shape of the sampling distribution for the mean of 5 values

SOLUTION:

Description

Value

The shape of the sampling distribution for the mean of 5 values

The population mean

The population standard deviation

The sample mean

The standard deviation of the sampling distribution for the mean of 5 values

The p-value that you obtain using the null from part 1 and the sample mean and sampling distribution standard deviation for a sample mean of size 5 from part 2 is:

SOLUTION: Greater than 0.50

Based on the p-value retrieved using the sample of size 5 and any reasonable type I error rate (say 5%),

SOLUTION: We do not have statistically significant evidence to suggest the population mean is different from 67.60 inches. (Fail to reject the null)

QUIZ QUESTION::

Use your new sampling distribution to match each of the following values to the corresponding statement.

ANSWER CHOICES:



Description

Value

The p-value associated with your hypothesis test.

The conclusion for your hypothesis at alpha of 0.1 level.

The standard deviation of the sampling distribution for the mean of 300 draws.

The value of the sample mean used.

SOLUTION:

Description

Value

The standard deviation of the sampling distribution for the mean of 300 draws.

The p-value associated with your hypothesis test.

The value of the sample mean used.

The conclusion for your hypothesis at alpha of 0.1 level.

The value of the sample mean used.

In this concept the big takeaway is:

SOLUTION: Even the smallest of differences between a sample mean and a hypothesized population mean are significant when we have large sample sizes.