Exam 9: Sampling Distributions

Let x be a binomial random variable with n =50 and π =.3. If we use the normal distribution to approximate probabilities for this, a correction for continuity should be made. To find the probability of more than 15 successes, we should find ___.

(Multiple Choice)

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Question 21

Albert Abbasi, VP of Operations at Ingleside International Bank, is evaluating the service level provided to walk-in customers. Accordingly, he plans a sample of waiting times for walk-in customers. If the population of waiting times has a mean of 15 minutes and a standard deviation of 4 minutes, the probability that Albert's sample of 64 will have a mean between 13.5 and 16.5 minutes is ___.

(Multiple Choice)

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Question 22

Suppose the population of all colleges shows the annual parking fee per student is $110 with a standard deviation of $18. If a random sample of size 49 is drawn from the population, the probability of drawing a sample with a mean of less than $92 is ___.

(Multiple Choice)

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Question 23

If the population is normally distributed, the sample means of a sample of size n = 5 are normally distributed.

(True/False)

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Question 24

Suppose a population has a mean of 870 and a variance of 8,100. If a random sample of size 36 is drawn from the population, the probability that the sample mean is between 840 and 900 is ___.

(Multiple Choice)

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Question 25

Catherine Chao, Director of Marketing Research, needs a sample of Kansas City households to participate in the testing of a new toothpaste package. If 40% of the households in Kansas City prefer the new package, the probability that Catherine's random sample of 300 households will have a sample proportion between 0.35 and 0.45 is ___.

(Multiple Choice)

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Question 26

Suppose 40% of the population of pre-teens have a TV in their bedroom. If a random sample of 500 pre-teens is drawn from the population, then the probability that 44% or fewer of the pre-teens have a TV in their bedroom is ___.

(Multiple Choice)

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Question 27

A carload of steel rods has arrived at Cybermatic Construction Company. The car contains 50,000 rods. Claude Ong, manager of Quality Assurance, directs his crew measure the lengths of 100 randomly selected rods. If the population of rods have a mean length of 120 cm and a standard deviation of 0.05 cm, the probability that Claude's sample has a mean less than 119.985 cm is ___.

(Multiple Choice)

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Question 28

Let x be a binomial random variable with n = 50 and ? = 0.3. Determine the probability of at most 13 successes, using the normal approximation for binomial distribution.

(Essay)

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Question 29

In Norway, approximately 22% of vehicles are electric vehicles. What is the probability of randomly selecting 250 cars and finding out that 60 or more are electric?

(Multiple Choice)

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Question 30

The mean of the sample means is the same as the mean of the population

(True/False)

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Question 31

According to the central limit theorem, for samples of size 64 drawn from a population with $\mu$ = 800 and $\sigma$ = 56, the standard deviation of the sampling distribution of sample means would equal ___.

(Multiple Choice)

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Question 32

Suppose a population has a mean of 400 and a standard deviation of 24. If a random sample of size 144 is drawn from the population, the probability of drawing a sample with a mean less than 402 is ___.

(Multiple Choice)

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Question 33

In an instant lottery, your chance of winning is 0.1. If you play the lottery 100 times and outcomes are independent, the probability that you win at least 15 percent of the time is

(Multiple Choice)

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Question 34

The sampling distribution of is close to normal provided that n ≥30.

(True/False)

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Question 35

If the population proportion is 0.90 and a sample of size 64 is taken, what is the probability that the sample proportion is less than 0.88?

(Multiple Choice)

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Question 36

A carload of steel rods has arrived at Cybermatic Construction Company. The car contains 50,000 rods. Claude Ong, manager of Quality Assurance, directs his crew measure the lengths of 100 randomly selected rods. If the population of rods has a mean length of 120 cm and a standard deviation of 0.05 cm, the probability that Claude's sample has a mean greater than 120.0125 cm is ___.

(Multiple Choice)

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Question 37

A sampling distribution is the distribution of a sample statistic such as the sample mean or sample proportion.

(True/False)

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Question 38

Suppose a population has a mean of 450 and a variance of 900. If a random sample of size 100 is drawn from the population, the probability that the sample mean is between 448 and 453 is ___.

(Multiple Choice)

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Question 39

According to the central limit theorem, if a sample of size 64 is drawn from a population with a standard deviation of 80, the standard deviation of sample means would equal ___.

(Multiple Choice)

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Question 40

Showing 21 - 40 of 65

Let x be a binomial random variable with n =50 and π =.3. If we use the normal distribution to approximate probabilities for this, a correction for continuity should be made. To find the probability of more than 15 successes, we should find ___.

Suppose the population of all colleges shows the annual parking fee per student is $110 with a standard deviation of $18. If a random sample of size 49 is drawn from the population, the probability of drawing a sample with a mean of less than $92 is ___.

If the population is normally distributed, the sample means of a sample of size n = 5 are normally distributed.

Suppose a population has a mean of 870 and a variance of 8,100. If a random sample of size 36 is drawn from the population, the probability that the sample mean is between 840 and 900 is ___.

Suppose 40% of the population of pre-teens have a TV in their bedroom. If a random sample of 500 pre-teens is drawn from the population, then the probability that 44% or fewer of the pre-teens have a TV in their bedroom is ___.

Let x be a binomial random variable with n = 50 and ? = 0.3. Determine the probability of at most 13 successes, using the normal approximation for binomial distribution.

In Norway, approximately 22% of vehicles are electric vehicles. What is the probability of randomly selecting 250 cars and finding out that 60 or more are electric?

The mean of the sample means is the same as the mean of the population

According to the central limit theorem, for samples of size 64 drawn from a population with $\mu$ = 800 and $\sigma$ = 56, the standard deviation of the sampling distribution of sample means would equal ___.

Suppose a population has a mean of 400 and a standard deviation of 24. If a random sample of size 144 is drawn from the population, the probability of drawing a sample with a mean less than 402 is ___.

In an instant lottery, your chance of winning is 0.1. If you play the lottery 100 times and outcomes are independent, the probability that you win at least 15 percent of the time is

The sampling distribution of is close to normal provided that n ≥30.

If the population proportion is 0.90 and a sample of size 64 is taken, what is the probability that the sample proportion is less than 0.88?

A sampling distribution is the distribution of a sample statistic such as the sample mean or sample proportion.

Suppose a population has a mean of 450 and a variance of 900. If a random sample of size 100 is drawn from the population, the probability that the sample mean is between 448 and 453 is ___.

According to the central limit theorem, if a sample of size 64 is drawn from a population with a standard deviation of 80, the standard deviation of sample means would equal ___.

Introduction to Statistics

Organizing and Visualizing Data

Descriptive Statistics

Gathering Data

Probability

Decision Analysis and Expected Value

Discrete Probability Distributions

Continuous Distributions

Confidence Intervals

Hypothesis Testing for Single Populations

Hypothesis Testing for Two Populations

Analysis of Variance Anova

Linear Correlation and Simple Linear Regression Analysis

Categorical Versus Categorical: Tests

Filters

Exam 9: Sampling Distributions

Let x be a binomial random variable with n =50 and π =.3. If we use the normal distribution to approximate probabilities for this, a correction for continuity should be made. To find the probability of more than 15 successes, we should find ___.

Suppose the population of all colleges shows the annual parking fee per student is $110 with a standard deviation of $18. If a random sample of size 49 is drawn from the population, the probability of drawing a sample with a mean of less than $92 is ___.

If the population is normally distributed, the sample means of a sample of size n = 5 are normally distributed.

Suppose a population has a mean of 870 and a variance of 8,100. If a random sample of size 36 is drawn from the population, the probability that the sample mean is between 840 and 900 is ___.

Suppose 40% of the population of pre-teens have a TV in their bedroom. If a random sample of 500 pre-teens is drawn from the population, then the probability that 44% or fewer of the pre-teens have a TV in their bedroom is ___.

Let x be a binomial random variable with n = 50 and ? = 0.3. Determine the probability of at most 13 successes, using the normal approximation for binomial distribution.

In Norway, approximately 22% of vehicles are electric vehicles. What is the probability of randomly selecting 250 cars and finding out that 60 or more are electric?

The mean of the sample means is the same as the mean of the population

According to the central limit theorem, for samples of size 64 drawn from a population with μ\muμ = 800 and σ\sigmaσ = 56, the standard deviation of the sampling distribution of sample means would equal ___.

Suppose a population has a mean of 400 and a standard deviation of 24. If a random sample of size 144 is drawn from the population, the probability of drawing a sample with a mean less than 402 is ___.

In an instant lottery, your chance of winning is 0.1. If you play the lottery 100 times and outcomes are independent, the probability that you win at least 15 percent of the time is

The sampling distribution of is close to normal provided that n ≥30.

If the population proportion is 0.90 and a sample of size 64 is taken, what is the probability that the sample proportion is less than 0.88?

A sampling distribution is the distribution of a sample statistic such as the sample mean or sample proportion.

Suppose a population has a mean of 450 and a variance of 900. If a random sample of size 100 is drawn from the population, the probability that the sample mean is between 448 and 453 is ___.

According to the central limit theorem, if a sample of size 64 is drawn from a population with a standard deviation of 80, the standard deviation of sample means would equal ___.

Introduction to Statistics

Organizing and Visualizing Data

Descriptive Statistics

Gathering Data

Probability

Decision Analysis and Expected Value

Discrete Probability Distributions

Continuous Distributions

Confidence Intervals

Hypothesis Testing for Single Populations

Hypothesis Testing for Two Populations

Analysis of Variance Anova

Linear Correlation and Simple Linear Regression Analysis

Categorical Versus Categorical: Tests

Filters

According to the central limit theorem, for samples of size 64 drawn from a population with $\mu$ = 800 and $\sigma$ = 56, the standard deviation of the sampling distribution of sample means would equal ___.