- 8-2.1: What hypotheses would you use?
- 8-2.2: Is the sample considered small or large?
- 8-2.3: What assumption must be met before the hypothesis test can be condu...
- 8-2.4: Which probability distribution would you use?
- 8-2.5: Would you select a one- or two-tailed test? Why?
- 8-2.6: What critical value(s) would you use?
- 8-2.7: Conduct a hypothesis test. Use s 30.3.
- 8-2.8: What is your decision?
- 8-2.9: What is your conclusion?
- 8-2.10: Write a brief statement summarizing your conclusion.
- 8-2.11: If you lived in a city whose population was about 50,000, how many ...
- 8-2.1: For Exercises 1 through 13, perform each of the following steps. a....
- 8-2.2: For Exercises 1 through 13, perform each of the following steps. a....
- 8-2.3: For Exercises 1 through 13, perform each of the following steps. a....
- 8-2.4: For Exercises 1 through 13, perform each of the following steps. a....
- 8-2.5: For Exercises 1 through 13, perform each of the following steps. a....
- 8-2.6: For Exercises 1 through 13, perform each of the following steps. a....
- 8-2.7: For Exercises 1 through 13, perform each of the following steps. a....
- 8-2.8: For Exercises 1 through 13, perform each of the following steps. a....
- 8-2.9: For Exercises 1 through 13, perform each of the following steps. a....
- 8-2.10: For Exercises 1 through 13, perform each of the following steps. a....
- 8-2.11: For Exercises 1 through 13, perform each of the following steps. a....
- 8-2.12: For Exercises 1 through 13, perform each of the following steps. a....
- 8-2.13: For Exercises 1 through 13, perform each of the following steps. a....
- 8-2.14: What is meant by a P-value?
- 8-2.15: State whether the null hypothesis should be rejected on the basis o...
- 8-2.16: Soft Drink Consumption A researcher claims that the yearly consumpt...
- 8-2.17: Stopping Distances A study found that the average stopping distance...
- 8-2.18: Copy Machine Use A store manager hypothesizes that the average numb...
- 8-2.19: Burning Calories by Playing Tennis A health researcher read that a ...
- 8-2.20: Breaking Strength of Cable A special cable has a breaking strength ...
- 8-2.21: Farm Sizes The average farm size in the United States is 444 acres....
- 8-2.22: Farm Sizes Ten years ago, the average acreage of farms in a certain...
- 8-2.23: Transmission Service A car dealer recommends that transmissions be ...
- 8-2.24: Speeding Tickets A motorist claims that the South Boro Police issue...
- 8-2.25: Sick Days A manager states that in his factory, the average number ...
- 8-2.26: Suppose a statistician chose to test a hypothesis at a 0.01. The cr...
- 8-2.27: Hourly Wage The president of a company states that the average hour...
Solutions for Chapter 8-2: Hypothesis Testing
Full solutions for Elementary Statistics: A Step by Step Approach | 7th Edition
`-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).
In hypothesis testing, a region in the sample space of the test statistic such that if the test statistic falls within it, the null hypothesis cannot be rejected. This terminology is used because rejection of H0 is always a strong conclusion and acceptance of H0 is generally a weak conclusion
All possible (subsets) regressions
A method of variable selection in regression that examines all possible subsets of the candidate regressor variables. Eficient computer algorithms have been developed for implementing all possible regressions
The arithmetic mean of a set of numbers x1 , x2 ,…, xn is their sum divided by the number of observations, or ( / )1 1 n xi t n ? = . The arithmetic mean is usually denoted by x , and is often called the average
Asymptotic relative eficiency (ARE)
Used to compare hypothesis tests. The ARE of one test relative to another is the limiting ratio of the sample sizes necessary to obtain identical error probabilities for the two procedures.
An estimator for a parameter obtained from a Bayesian method that uses a prior distribution for the parameter along with the conditional distribution of the data given the parameter to obtain the posterior distribution of the parameter. The estimator is obtained from the posterior distribution.
Box plot (or box and whisker plot)
A graphical display of data in which the box contains the middle 50% of the data (the interquartile range) with the median dividing it, and the whiskers extend to the smallest and largest values (or some deined lower and upper limits).
Data consisting of counts or observations that can be classiied into categories. The categories may be descriptive.
When y fx = ( ) and y is considered to be caused by x, x is sometimes called a causal variable
A chart used to organize the various potential causes of a problem. Also called a ishbone diagram.
The variance of the conditional probability distribution of a random variable.
A tabular arrangement expressing the assignment of members of a data set according to two or more categories or classiication criteria
A two-dimensional graphic used for a bivariate probability density function that displays curves for which the probability density function is constant.
A linear function of treatment means with coeficients that total zero. A contrast is a summary of treatment means that is of interest in an experiment.
An expression sometimes used for nonlinear regression models or polynomial regression models.
Another name for a probability density function
The amount of variability exhibited by data
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.
A signal from a control chart when no assignable causes are present
In statistical quality control, that portion of a number of units or the output of a process that is defective.