- 5-2.1: Defective DVDs From past experience, a company found that in carton...
- 5-2.2: Suit Sales The number of suits sold per day at a retail store is sh...
- 5-2.3: Number of Credit Cards A bank vice president feels that each saving...
- 5-2.4: Trivia Quiz The probabilities that a player will get 5 to 10 questi...
- 5-2.5: Cellular Phone Sales The probability that a cellular phone company ...
- 5-2.6: Traffic Accidents The county highway department recorded the follow...
- 5-2.7: Commercials During Childrens TV Programs A concerned parents group ...
- 5-2.8: Number of Televisions per Household A study conducted by a TV stati...
- 5-2.9: Students Using the Math Lab The number of students using the Math L...
- 5-2.10: Pizza Deliveries A pizza shop owner determines the number of pizzas...
- 5-2.11: Insurance An insurance company insures a persons antique coin colle...
- 5-2.12: Job Bids A landscape contractor bids on jobs where he can make $300...
- 5-2.13: Rolling Dice If a person rolls doubles when she tosses two dice, sh...
- 5-2.14: Dice Game A person pays $2 to play a certain game by rolling a sing...
- 5-2.15: Lottery Prizes A lottery offers one $1000 prize, one $500 prize, an...
- 5-2.16: In Exercise 15, find the expectation if a person buys two tickets. ...
- 5-2.17: Winning the Lottery For a daily lottery, a person selects a three-d...
- 5-2.18: Life Insurance A 35-year-old woman purchases a $100,000 term life i...
- 5-2.19: Roulette A roulette wheel has 38 numbers, 1 through 36, 0, and 00. ...
- 5-2.20: Rolling Dice Construct a probability distribution for the sum shown...
- 5-2.21: Rolling a Die When one die is rolled, the expected value of the num...
- 5-2.22: The formula for finding the variance for a probability distribution...
- 5-2.23: Rolling a Die Roll a die 100 times. Compute the mean and standard d...
- 5-2.24: Rolling Two Dice Roll two dice 100 times and find the mean, varianc...
- 5-2.25: Extracurricular Activities Conduct a survey of the number of extrac...
- 5-2.26: Promotional Campaign In a recent promotional campaign, a company of...
Solutions for Chapter 5-2: Mean, Variance, Standard Deviation, and Expectation
Full solutions for Elementary Statistics: A Step by Step Approach 8th ed. | 8th Edition
a-error (or a-risk)
In hypothesis testing, an error incurred by failing to reject a null hypothesis when it is actually false (also called a type II error).
In statistical hypothesis testing, this is a hypothesis other than the one that is being tested. The alternative hypothesis contains feasible conditions, whereas the null hypothesis speciies conditions that are under test
A method of variable selection in regression that begins with all of the candidate regressor variables in the model and eliminates the insigniicant regressors one at a time until only signiicant regressors remain
The joint probability distribution of two random variables.
A chart used to organize the various potential causes of a problem. Also called a ishbone diagram.
The tendency of data to cluster around some value. Central tendency is usually expressed by a measure of location such as the mean, median, or mode.
The portion of the variability in a set of observations that is due to only random forces and which cannot be traced to speciic sources, such as operators, materials, or equipment. Also called a common cause.
Coeficient of determination
See R 2 .
Completely randomized design (or experiment)
A type of experimental design in which the treatments or design factors are assigned to the experimental units in a random manner. In designed experiments, a completely randomized design results from running all of the treatment combinations in random order.
Another name for factors that are arranged in a factorial experiment.
A parameter in a tabular CUSUM algorithm that is determined from a trade-off between false alarms and the detection of assignable causes.
Defect concentration diagram
A quality tool that graphically shows the location of defects on a part or in a process.
Discrete uniform random variable
A discrete random variable with a inite range and constant probability mass function.
Another name for a cumulative distribution function.
The expected value of a random variable X is its long-term average or mean value. In the continuous case, the expected value of X is E X xf x dx ( ) = ?? ( ) ? ? where f ( ) x is the density function of the random variable X.
Exponential random variable
A series of tests in which changes are made to the system under study
Finite population correction factor
A term in the formula for the variance of a hypergeometric random variable.
A model that contains only irstorder terms. For example, the irst-order response surface model in two variables is y xx = + ?? ? ? 0 11 2 2 + + . A irst-order model is also called a main effects model
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