Sample Mean and Sample Proportion

Sample Mean and Sample Proportion

11th - 12th Grade

6 Qs

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Sample Mean and Sample Proportion

Sample Mean and Sample Proportion

Assessment

Quiz

Mathematics

11th - 12th Grade

Practice Problem

Hard

Created by

Barbara White

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6 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The makers of Skittles claim that 20% of Skittles candies are orange. You select a random sample of 20 Skittles from a large bag. Let p̂ = the proportion of orange Skittles in the sample. Calculate the mean of the sampling distribution of p̂.

μ = 0.20

μ = 20

μ = 4

μ = 0.05

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The makers of Skittles claim that 20% of Skittles candies are orange. You select a random sample of 20 Skittles from a large bag. Let p̂ = the proportion of orange Skittles in the sample. Calculate the standard deviation of the sampling distribution of p̂.

σ = 8.9

σ = 0.089

σ = 0.20

σ = 1.789

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The makers of Skittles claim that 20% of Skittles candies are orange. You select a random sample of 20 Skittles from a large bag. Let p̂ = the proportion of orange Skittles in the sample. Interpret the standard deviation of the sampling distribution of p̂, σ= 0.089.

In SRSs of size n = 20, the sample proportion of orange Skittles will typically vary by about 0.089 from the true proportion of p = 0.20.

In SRSs of size n = 20, the sample proportion of orange Skittles will typically vary by about 0.20 from the true proportion of p = 0.089.

In SRSs of size n = 0.20, the sample proportion of orange Skittles will typically vary by about 0.089 from the true proportion of p = 20.

In SRSs of size n = 20, the sample proportion of orange Skittles will typically vary by about 0.089 from the true proportion of p = 20.

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

In a congressional district, 55% of registered voters are Democrats. A polling organization selects a random sample of 500 registered voters from this district. Let p̂ = the proportion of Democrats in the sample. Calculate the mean of the sampling distribution of p̂.

μ = 0.55

μ = 55

μ = 275

μ = 0.275

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

In a congressional district, 55% of registered voters are Democrats. A polling organization selects a random sample of 500 registered voters from this district. Let p̂ = the proportion of Democrats in the sample. Calculate the standard deviation of the sampling distribution of p̂.

σ = 2.2

σ = 0.022

σ = 0.55

σ = 11.124

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

In a congressional district, 55% of registered voters are Democrats. A polling organization selects a random sample of 500 registered voters from this district. Let p̂ = the proportion of Democrats in the sample. Interpret the standard deviation of the sampling distribution of p̂, σ= 0.022.

In SRSs of size n = 500, the sample proportion of Democrats will typically vary by about 0.022 from the true proportion of p = 0.55.

In SRSs of size n = 500, the sample proportion of Democrats will typically vary by about 0.55 from the true proportion of p = 0.022.

In SRSs of size n = 500, the sample proportion of Democrats will typically vary by about 2.2 from the true proportion of p = 5.5.

In SRSs of size n = 55, the sample proportion of Democrats will typically vary by about 0.022 from the true proportion of p = 500.

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