Distributions Statistics

The mean distance an OHS student travels to school is 5.6 miles with a standard deviation of 1.7 miles. Mrs. McLemore finds the mean of her 4th period class - a randomly selected sample of 29 students. What is the probability that the mean of her class is more than 6 miles?

• P = 0.00

• P = 0.1020

• P = 0.8980

• P = 1.27

If you are to find P (x̄ ≥ 10) that means

• the probability that the sample mean is less than 10

• the probability that the sample mean is no more than 10

• the probability that the sample mean is at least 10

• the probability that the sample mean is more than 10

According to the Center for Disease Control, 93% of children entering kindergarten in the U.S. are vaccinated. A school district has 180 incoming kindergarten children.

Which of the following is true concerning the shape of the sampling distribution?

• The sampling distribution is normal because n > 30

• The sampling distribution is not normal because nq is < 30

• The sampling distribution is normal because 10% of 180 is > 10

• The sampling distribution is normal because np and nq are both > 10

According to a television commercial, 3 out of 4 dentists recommend Trident gum for patients who have dental work. A consumer magazine has surveyed 100 dentists to see if this claim is true. Which is closest to the probability that between 70 and 74 percent of the dentists recommend Trident?

• .9238

• .2846

• -.2846

• .0762

A researcher wants to understand how sample statistics vary across multiple samples. Which distribution should they use?

• Sample distribution

• Normal distribution

• Population distribution

• Sampling distribution

In a high school of 1,000 students, analyzing the test scores of 100 random students creates what type of distribution?

• Sampling distribution

• Population distribution

• Sample distribution

• Frequency distribution

What is the main purpose of a sampling distribution?

• To collect data from the entire population

• To visualize individual sample results

• To understand the reliability of sample statistics

• To represent the complete group of interest

Which characteristic best describes a sample distribution?

• Shows all possible population values

• Represents multiple sample means

• Includes every member of the group

• Represents a fraction of the population

What is a key feature of all three types of distributions discussed?

• They only use line plots

• They can be visualized using various graphs

• They require complete population data

• They must be normally distributed

Which distribution helps in estimating population parameters without studying every individual?

• Frequency distribution

• Sample distribution

• Sampling distribution

• Population distribution