What type of problem is this (Central Limit Theorem edition)

What type of problem is this (Central Limit Theorem edition)

11th Grade

7 Qs

quiz-placeholder

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What type of problem is this (Central Limit Theorem edition)

What type of problem is this (Central Limit Theorem edition)

Assessment

Quiz

Mathematics

11th Grade

Practice Problem

Hard

CCSS
HSS.IC.B.4, HSS.ID.A.4

Standards-aligned

Created by

Rachel Manspeaker

Used 3+ times

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7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The average number of missed school days for students going to public schools is 8.5 with a standard deviation of 4.1, while students going to private schools miss an average of 5.3 with a standard deviation of 2.9.  In a sample of 200 public school students and 150 private school students what is the likely range of the difference in school attendance?

Single Population Proportion, Sampling Distribution (CLT)

Single Mean, Sampling Distribution (CLT)

Comparing Two Means, Sampling Distributions (CLT)

Comparing Two Means, Populations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In urban parts of the United States, 43% of married couples own their own homes, while only 19% of single people own their own homes.  In a random survey of 200 married couples and 180 single people, what is the likely range of values of the difference in percentages of married couples and single people who are homeowners?

Population Proportion, Sampling Distribution (CLT)

Comparing Two Population Proportions, Sampling Distribution (CLT)

Comparing Two Population Proportions, Binomial Distributions

Population Proportion, Binomial Distribution

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In urban parts of the United States, 43% of married couples own their own homes, while only 19% of single people own their own homes.  In a random survey of 200 married couples and 180 single people, what is the likely range of values of married couples who are homeowners?

Population Proportion, Sampling Distribution (CLT)

Comparing Two Population Proportions, Sampling Distribution (CLT)

Comparing Two Population Proportions, Binomial Distributions

Population Proportion, Binomial Distribution

Tags

CCSS.HSS.IC.B.4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Pepper plants watered lightly every day for a month show an average growth of 27 centimeters with a standard deviation of 8.3 centimeters, while pepper plants watered heavily once a week for a month show an average growth of 29 centimeters with a standard deviation of 7.9 centimeters.  In a random sample of 60 plants, half of which are given each of the watering treatments, what is the probability that the difference in average growth between the two halves is between -3 and +3 centimeters?

Population Mean, Sampling Distribution (CLT)

Comparing Two Population Means, Sampling Distribution (CLT)

Comparing Two Population Proportions, Sampling Distribution (CLT)

Population Proportion, Binomial Distribution

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The average number of daily emergency room admissions at a hospital is 85 with a standard deviation of 37.  In a random sample of 30 days, what is the probability that the mean number of daily emergency admissions is between 75 and 95?

Population Proportion, Sampling Distribution (CLT)

Population Proportion, Binomial Distribution

Population Mean, Population Distribution

Population Mean, Sampling Distribution (CLT)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Suppose that the outstanding credit card balance for young couples is normally distributed, with and average of $650 and a standard deviation of $420.  If a couple is selected at random, what is the probability that the outstanding credit card balance exceeds $700?

Population Mean, Population Distribution

Population Mean, Sampling Distribution (CLT)

Population Proportion, Sampling Distribution (CLT)

Population Proportion, Binomial Distribution

Tags

CCSS.HSS.ID.A.4

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Suppose that the average outstanding credit card balance for young couples is $650 with a standard deviation of $420.  If 100 couples are selected at random, what is the probability that the mean outstanding credit card balance exceeds $700?


Population Mean, Population Distribution

Population Mean, Sampling Distribution (CLT)

Population Proportion, Sampling Distribution (CLT)

Population Proportion, Binomial Distribution

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