Exam 7: Sampling and Sampling Distributions

Exhibit 7-4 A random sample of 121 bottles of cologne showed an average content of 4 ounces. It is known that the standard deviation of the contents (i.e., of the population) is 0.22 ounces. -Refer to Exhibit 7-4. The point estimate of the mean content of all bottles is

A probability distribution for all possible values of a sample statistic is known as a

The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours. A simple random sample of 36 bulbs is taken. a.What are the expected value, standard deviation, and shape of the sampling distribution of? b.What is the random variable in this problem? Define it in words. c.What is the probability that the average life in the sample will be between 2,670.56 and 2,809.76 hours? d.What is the probability that the average life in the sample will be greater than 3,219.24 hours? e.What is the probability that the average life in the sample will be less than 3,180.96 hours?

Exhibit 7-4 A random sample of 121 bottles of cologne showed an average content of 4 ounces. It is known that the standard deviation of the contents (i.e., of the population) is 0.22 ounces. -Refer to Exhibit 7-4. In this problem the 0.22 is

Exhibit 7-3 The following information was collected from a simple random sample of a population. -Refer to Exhibit 7-3. The point estimate of the mean of the population is

A simple random sample from a process (an infinite population) is a sample selected such that

The population we want to make inferences about is the

Exhibit 7-5 Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8. -All of the following are true about the standard error of the mean except

From a population of 500 elements, a sample of 225 elements is selected. It is known that the variance of the population is 900. The standard error of the mean is approximately

The standard deviation of is referred to as the

As the sample size increases, the variability among the sample means

A sample of 92 observations is taken from a process (an infinite population). The sampling distribution of is approximately normal because

Exhibit 7-5 Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8. -The standard error of the proportion will become larger as

A subset of a population selected to represent the population is a

The expected value of the random variable is

A random sample of 150 people was taken from a very large population. Ninety of the people in the sample were females. The standard error of the proportion of females is

The finite correction factor should be used in the computation of when n/N is greater than

A random sample of ten examination papers in a course that was given on a pass or fail basis showed the following scores. a.What is the point estimate for the mean of the population? b.What is the point estimate for the standard deviation of the population? c.What is the point estimate for the proportion of all students who passed the course?

A population of size 1,000 has a proportion of 0.5. Therefore, the proportion and the standard deviation of the sample proportion for samples of size 100 are

In point estimation, data from the