Sampling Distribution of p-hat Practice

Calculate the mean of the sampling distribution of p-hat.

(Do not round)

Calculate the standard deviation of the sampling distribution of p-hat.

(Round to 3 decimal places)

Interpret the standard deviation from Question 2.

In SRSs of size n = 50, the sample proportion of teachers who work at non-school second jobs during the school year typically varies from ________________________ by about 0.054.

• the true proportion

• the true mean

• from each other

Calculate the mean of the sampling distribution of p-hat.

(Do not round)

Calculate the standard deviation of the sampling distribution of p-hat.

(Round to 2 decimal places)

Interpret the standard deviation from Question 5.

In SRSs of size n = 100, the sample proportion of orders that were shipped within three working days typically varies from ______________________ by about 0.03.

• the true proportion

• the true mean

• from each other

Calculate the Large Counts Condition.

• np = 9

  n(1 - p) = 41

• np = 900

  n(1 - p) = 4100

• np = 41

  n(1 - p) = 9

• np = 4100

  n(1 - p) = 900

• The sampling distribution of p-hat is not approx. normal because np and n(1-p) are not both at least 10.

• The sampling distribution of p-hat is approx. normal because np and n(1-p) are not both at least 10.

• The sampling distribution of p-hat is not approx. normal because np and n(1-p) are both at least 10.

• The sampling distribution of p-hat is approx. normal because np and n(1-p) are both at least 10.

Calculate the Large Counts Condition.

• np = 90

  n(1 - p) = 10

• np = 10

  n(1 - p) = 90

• np = 9

  n(1 - p) = 91

• np = 90

  n(1 - p) = 100

• The sampling distribution of p-hat is approx. normal because np and n(1-p) are both at least 10.

• The sampling distribution of p-hat is not approx. normal because np and n(1-p) are both at least 10.

• The sampling distribution of p-hat is approx. normal because np and n(1-p) are not both at least 10.

• The sampling distribution of p-hat is not approx. normal because np and n(1-p) are not both at least 10.