- A 95% confidence interval for a population mean is determined to be 100 to 120. If the confidence coefficient is reduced to 0.90, the interval for μ becomes narrower: The t distribution should be used whenever: the sample standard deviation is used to estimate the population standard deviation
- A finite population correction factor is needed in computing the standard deviation of the sampling distribution of sample means whenever the sample size is more than 5% of the population size
- A numerical measure from a population, such as a population mean, is called a parameter
- A population consists of 8 items. The number of different simple random samples of size 3 (without replacement) that can be selected from this population is 56
- A probability distribution for all possible values of a sample statistic is known as a sampling distribution
- A probability sampling method in which we randomly select one of the first k elements and then select every kth element thereafter is systematic sampling
- A random sample of 144 observations has a mean of 20, a median of 21, and a mode of 22. The population standard deviation is known to equal 4.8. The 95.44% confidence interval for the population mean is 19.2 to 20.8
- 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 0.0400
- A sample of 400 observations will be taken from a process (an infinite population). The population proportion equals 0.8. The probability that the sample proportion will be greater than 0.83 is 0.0668
- A sample of 51 observations will be taken from a process (an infinite population). The population proportion equals 0.85. The probability that the sample proportion will be between 0.9115 and 0.946 is 0.0819
- A sample of 66 observations will be taken from a process (an infinite population). The population proportion equals 0.12. The probability that the sample proportion will be less than 0.1768 is 0.9222
- A sample statistic, such as , that estimates the value of the corresponding population parameter is known as a point estimator
- A simple random sample of 64 observations was taken from a large population. The population standard deviation is 120. The sample mean was determined to be 320. The standard error of the mean is 15
- A simple random sample of size n from a finite population of size N is a sample selected such that each possible sample of size n has the same probability of being selected
- A simple random sample of size n from a finite population of size N is to be selected. Each possible sample should have the same probability of being selected
- A subset of a population selected to represent the population is a sample
- A theorem that allows us to use the normal probability distribution to approximate the sampling distribution of sample means and sample proportions whenever the sample size is large is known as the central limit theorem
- A Type I error is committed when a true null hypothesis is rejected
- An estimate of a population parameter that provides an interval believed to contain the value of the parameter is known as the interval estimate
- An example of statistical inference is hypothesis testing
- An interval estimate is used to estimate a population parameter
- As a general guideline, the research hypothesis should be stated as the alternative hypothesis
- As the degrees of freedom increase, the t distribution approaches the normal distribution
- As the sample size increases, the standard error of the mean decreases
- As the sample size increases, the margin of error decreases
- As the sample size increases, the variability among the sample means decreases
- Exhibit 6-6 The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,000 miles. Refer to Exhibit 6-6. What is the probability that a randomly selected tire will have a life of at least 30,000 miles? 0.9772
- Exhibit 6-6 The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,000 miles. Refer to Exhibit 6-6. What is the probability that a randomly selected tire will have a life of at least 47,500 miles? 0.0668
- Exhibit 6-6 The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,000 miles. Refer to Exhibit 6-6. What percentage of tires will have a life of 34,000 to 46,000 miles? 76.98%
- For a standard normal distribution, a negative value of z indicates the z is to the left of the mean
- For the interval estimation of μ when σ is assumed known, the proper distribution to use is the standard normal distribution
- For the standard normal probability distribution, the area to the left of the mean is 0.5
- For which of the following values of p is the value of p(1 − p) maximized? p = 0.50
- From a population that is not normally distributed and whose standard deviation is not known, a sample of 50 items is selected to develop an interval estimate for μ. Which of the following statements is true? The t distribution with 49 degrees of freedom must be used.
- Given that z is a standard normal random variable, what is the value of z if the area to the right of z is 0.1112? 1.22
- Given that z is a standard normal random variable, what is the value of z if the area to the right of z is 0.1401? 1.08
- Given that z is a standard normal random variable, what is the value of z if the area to the left of z is 0.9382? 1.54
- How many different samples of size 3 (without replacement) can be taken from a finite population of size 10? 120
- If an interval estimate is said to be constructed at the 90% confidence level, the confidence coefficient would be 0.9
- If the cost of a Type I error is high, a smaller value should be chosen for the level of significance
- If we consider the simple random sampling process as an experiment, the sample mean is a random variable
- In determining the sample size necessary to estimate a population proportion, which of the following information is not needed? the mean of the population
- In general, higher confidence levels provide wider confidence intervals
- In hypothesis testing, the alternative hypothesis is the hypothesis concluded to be true if the null hypothesis is rejected
- In hypothesis testing, the hypothesis tentatively assumed to be true is the null hypothesis
- In point estimation, data from the sample is used to estimate the population parameter
- In tests about a population proportion, p0 represents the hypothesized population proportion
- Larger values of the standard deviation result in a normal curve that is wider and flatter
- More evidence against H0 is indicated by smaller p-values
- Random samples of size 100 are taken from a process (an infinite population) whose population proportion is 0.2. The mean and standard deviation of the distribution of sample proportions are 0.2 and .04
- Random samples of size 525 are taken from a process (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 0.0200
- Stratified random sampling is a method of selecting a sample in which the population is first divided into groups, and then random samples are drawn from each group
- The average life expectancy of tires produced by the Whitney Tire Company has been 40,000 miles. Management believes that due to a new production process, the life expectancy of its tires has increased. In order to test the validity of this belief, the correct set of hypotheses is H0; μ ≤ 40,000 Ha; μ > 40,000
- The basis for using a normal probability distribution to approximate the sampling distribution of is the central limit theorem
- The confidence associated with an interval estimate is called the confidence level
- The expected value of equals the mean of the population from which the sample is drawn for any sample size
- The expected value of the random variable is μ
- The finite correction factor should be used in the computation of when n/N is greater than .05
- The highest point of a normal curve occurs at the mean
- The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,000 miles.Refer to Exhibit 6-6. What is the random variable in this experiment? the life expectancy of this brand of tire
- The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took these 100 customers to check out was 3.0 minutes. It is known that the standard deviation of the checkout time is one minute. The 95% confidence interval for the average checkout time of all customers is 2.804 to 3.196
- The number of random samples (without replacement) of size 3 that can be drawn from a population of size 5 is 10
- The population being studied is usually considered ______ if it involves an ongoing process that makes listing or counting every element in the population impossible. Infinite
- The population we want to make inferences about is the target population
- The probability distribution of all possible values of the sample mean is called the sampling distribution of the sample mean
- The probability distribution of all possible values of the sample proportion is the sampling distribution of p-bar.
- The probability that the interval estimation procedure will generate an interval that does not contain the actual value of the population parameter being estimated is the level of significance
- The purpose of statistical inference is to provide information about the population based upon information contained in the sample
- The sample mean is the point estimator of μ
- The sample size that guarantees all estimates of proportions will meet the margin of error requirements is computed using a planning value of p equal to .50
- The sampling distribution of the sample mean is the probability distribution showing all possible values of the sample mean
- The set of all elements of interest in a study is a population
- The standard deviation of a point estimator is the standard error
- The standard deviation of all possible values is called the standard error of the mean
- The standard deviation of is referred to as the standard error of the proportion
- The standard deviation of is referred to as the standard error of the mean
- The t value with a 95% confidence and 24 degrees of freedom is 2.064
- The value of the ___________ is used to estimate the value of the population parameter. sample statistic
- The z value for a 97.8% confidence interval estimation is 2.29
- There are 6 children in a family. The number of children defines a population. The number of simple random samples of size 2 (without replacement) which are possible equals 15
- To compute the minimum sample size for an interval estimate of μ, we must first determine all of the following except degrees of freedom
- We can use the normal distribution to make confidence interval estimates for the population proportion, p, when Both np ≥ 5 and n(1 − p) ≥ 5
- When the rejection region is in the lower tail of the sampling distribution, the p-value is the area under the curve less than or equal to the test statistic
- Which of the following hypotheses applies to a situation where action must be taken both when H0 cannot be rejected and when H0 can be rejected? H0; mu= mu0
- Which of the following is an improper form of the null and alternative hypotheses? H0; μ ≤ μ0 Ha; μ > or = μ0
- Z is a standard normal random variable. The P (-1.20 ≤ z ≤ 1.50) equals 0.8181
- Z is a standard normal random variable. The P(1.05 ≤ z ≤ 2.13) equals 0.1303
- Z is a standard normal random variable. The P(1.20 ≤ z ≤ 1.85) equals 0.0829
- Z is a standard normal random variable. The P(-1.5 ≤ z ≤ 1.09) equals 0.7953
- Z is a standard normal random variable. The P(-1.96 ≤ z ≤ -1.4) equals 0.0558
- Z is a standard normal random variable. The P(z ≥ 2.11) equals 0.0174
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