- 9.3.1: Statistical Literacy To use the normal distribution to test a propo...
- 9.3.2: Statistical Literacy Consider a binomial experiment with n trials a...
- 9.3.3: Critical Thinking In general, if sample data are such that the null...
- 9.3.4: Critical Thinking An article in a newspaper states that the proport...
- 9.3.5: Focus Problem: Benfords Law Please read the Focus the beginning of ...
- 9.3.6: Focus Problem: Benfords Law Again suppose you are the auditor for a...
- 9.3.7: Sociology: Crime Rate Is the national crime rate really going down?...
- 9.3.8: College Athletics: Graduation Rate Women athletes at the University...
- 9.3.9: Highway Accidents: DUI The U.S. Department of Transportation, Natio...
- 9.3.10: Preference: Color What is your favorite color? A large survey of co...
- 9.3.11: Wildlife: Wolves The following is based on information from The Wol...
- 9.3.12: Fishing: Northern Pike Athabasca Fishing Lodge is located on Lake A...
- 9.3.13: Platos Republic: Syllable Patterns Prose rhythm is characterized as...
- 9.3.14: Platos Dialogues: Prose Rhythm Symposium is part of a larger work r...
- 9.3.15: . Consumers: Product Loyalty USA Today reported that about 47% of t...
- 9.3.16: Supermarket: Prices Harpers Index reported that 80% of all supermar...
- 9.3.17: Medical: Hypertension This problem is based on information taken fr...
- 9.3.18: Medical: Hypertension Diltiazem is a commonly prescribed drug for h...
- 9.3.19: Myers-Briggs: Extroverts Are most student government leaders extrov...
- 9.3.20: Critical Region Method: Testing Proportions Solve using the critica...
- 9.3.21: Critical Region Method: Testing Proportions Solve using the critica...
- 9.3.22: Critical Region Method: Testing Proportions Solve using the critica...
Solutions for Chapter 9.3: HYPOTHESIS TESTING
Full solutions for Understandable Statistics | 9th Edition
2 k factorial experiment.
A full factorial experiment with k factors and all factors tested at only two levels (settings) each.
`-error (or `-risk)
In hypothesis testing, an error incurred by rejecting a null hypothesis when it is actually true (also called a type I error).
Attribute control chart
Any control chart for a discrete random variable. See Variables control chart.
Average run length, or ARL
The average number of samples taken in a process monitoring or inspection scheme until the scheme signals that the process is operating at a level different from the level in which it began.
An effect that systematically distorts a statistical result or estimate, preventing it from representing the true quantity of interest.
A horizontal line on a control chart at the value that estimates the mean of the statistic plotted on the chart. See Control chart.
Central limit theorem
The simplest form of the central limit theorem states that the sum of n independently distributed random variables will tend to be normally distributed as n becomes large. It is a necessary and suficient condition that none of the variances of the individual random variables are large in comparison to their sum. There are more general forms of the central theorem that allow ininite variances and correlated random variables, and there is a multivariate version of the theorem.
Any test of signiicance based on the chi-square distribution. The most common chi-square tests are (1) testing hypotheses about the variance or standard deviation of a normal distribution and (2) testing goodness of it of a theoretical distribution to sample data
Coeficient of determination
See R 2 .
The probability of an event given that the random experiment produces an outcome in another event.
Conditional probability density function
The probability density function of the conditional probability distribution of a continuous random variable.
A graphical display used to monitor a process. It usually consists of a horizontal center line corresponding to the in-control value of the parameter that is being monitored and lower and upper control limits. The control limits are determined by statistical criteria and are not arbitrary, nor are they related to speciication limits. If sample points fall within the control limits, the process is said to be in-control, or free from assignable causes. Points beyond the control limits indicate an out-of-control process; that is, assignable causes are likely present. This signals the need to ind and remove the assignable causes.
In hypothesis testing, this is the portion of the sample space of a test statistic that will lead to rejection of the null hypothesis.
Cumulative sum control chart (CUSUM)
A control chart in which the point plotted at time t is the sum of the measured deviations from target for all statistics up to time t
Estimate (or point estimate)
The numerical value of a point estimator.
A method of variable selection in regression, where variables are inserted one at a time into the model until no other variables that contribute signiicantly to the model can be found.
In statistical quality control, that portion of a number of units or the output of a process that is defective.
A function that is used to determine properties of the probability distribution of a random variable. See Moment-generating function
The geometric mean of a set of n positive data values is the nth root of the product of the data values; that is, g x i n i n = ( ) = / w 1 1 .
The harmonic mean of a set of data values is the reciprocal of the arithmetic mean of the reciprocals of the data values; that is, h n x i n i = ? ? ? ? ? = ? ? 1 1 1 1 g .