Exam 7: Sampling and Sampling Distributions

Random samples of size 525 are taken from an infinite population whose population proportion is 0.3. The standard deviation of the sample proportions (i.e., the standard error of the proportion) is

The closer the sample mean is to the population mean,

A sample statistic, such as a sample mean, is known as

Since the sample size is always smaller than the size of the population, the sample mean

Parameters are

Exhibit 7-2 A random sample of 10 examination papers in a course, which was given on a pass or fail basis, showed the following scores. -Refer to Exhibit 7-2. The point estimate for the variance of the population is

There are 500 employees in a firm, 45% are female. A sample of 60 employees is selected randomly. a.Determine the standard error of the proportion. b.What is the probability that the sample proportion (proportion of females) is between 0.40 and 0.55?

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

The standard deviation of a point estimator is called the

A simple random sample of 64 observations was taken from a large population. The sample mean and the standard deviation were determined to be 320 and 120 respectively. The standard error of the mean is

A population of 1,000 students spends an average of $10.50 a day on dinner. The standard deviation of the expenditure is $3. A simple random sample of 64 students is taken. a.What are the expected value, standard deviation, and shape of the sampling distribution of the sample mean? b.What is the probability that these 64 students will spend a combined total of more than $715.21? c.What is the probability that these 64 students will spend a combined total between $703.59 and $728.45?

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

A single numerical value used as an estimate of a population parameter is known as

The set of all elements of interest in a study is

A simple random sample of 6 computer programmers in Houston, Texas revealed the sex of the programmers and the following information about their weekly incomes. a.What is the point estimate for the average weekly income of all the computer programmers in Houston? b.What is the point estimate for the standard deviation of the population? c.Determine a point estimate for the proportion of all programmers in Houston who are female.

A population has a mean of 180 and a standard deviation of 24. A sample of 64 observations will be taken. The probability that the sample mean will be between 183 and 186 is

The probability distribution of the sample mean is called the

The life expectancy in the United States is 75 with a standard deviation of 7 years. A random sample of 49 individuals is selected. a.What is the probability that the sample mean will be larger than 77 years? b.What is the probability that the sample mean will be less than 72.7 years? c.What is the probability that the sample mean will be between 73.5 and 76 years? d.What is the probability that the sample mean will be between 72 and 74 years? e.What is the probability that the sample mean will be larger than 73.46 years?

A population consists of 8 items. The number of different simple random samples of size 3 that can be selected from this population is

For a population with any distribution, the form of the sampling distribution of the sample mean is