Statistics 2 - Chs 10,12,13

The test statistic for goodness of fit has a chi-square distribution with k - 1 degrees of freedom provided that the expected frequencies for all categories are 1. 5 or more 2. 10 or more 3. k or more 4. 2k

1. 5 or more

In an ANOVA procedure, a term that means the same as the term "variables" is 1. factor 2. treatment 3. replication 4. within-variance

1. factor

When each data value in one sample is matched with a corresponding data value in another sample, the samples are known as _____ samples. 1. matched 2. independent 3. pooled 4. proportional

1. matched

A population where each of its element is assigned to one and only one of several classes or categories is a ... population 1. multinomial 2. uniform 3. normal 4. binomial

1. multinomial

Marascuilo procedure is used to test for a significant difference between pairs of populations 1. proportions 2. means 3. variances 4. standard deviations

1. proportions

In the ANOVA, treatments refer to 1. experimental units 2. different levels of a factor 3. the dependent variables 4. statistical applications

2. different levels of a factor

When developing an interval estimate for the difference between two population means with sample sizes of n1 and n2, 1. n1 must be smaller than n2 2. n1 and n2 can be of different sizes 3. n1 must be equal to n2 4. n1 must be larger than n2

2. n1 and n2 can be of different sizes

In the analysis of variance procedure ANOVA, "factor" refers to 1. dependent variable 2. independent variable 3. different levels of treatment 4. the critical value of F

2. the independent variable

An experimental design where the experimental units are randomly assigned to the treatments is known as ... design. 1. factor block 2. random factor 3. completely randomized 4. randomized treatment

3. completely randomized

The ANOVA procedure is a statistical approach for determining whether or not the means of ... are equal 1. two samples 2. two or more samples 3. four populations 4. 3 or more populations

4. 3 or mroe populaitons

An important application of the chi-square distribution is 1. making inferences about a single population variance 2. testing for goodness of fit 3. testing for the independence of two categorical variables 4. all of these alternatives are correct

4. all of these alternatives are correct

If we are interested in testing whether the proportion of items in population 1 is larger than the proportion of items in population 2, the 1. null hypothesis should state p1 - p2 < 0 2. alternative hypothesis should state p1 - p2 < 0 3. alternative hypothesis should state p1 - p2 = 0 4. alternative hypothesis should state p1 - p2 > 0

4. alternative hypothesis should state p1 - p2 > 0

The sampling distribution for a goodness of fit test is the ... distribution 1. F 2. t 3. normal 4. chi-square

4. chi-square

The independent variable of interest in an ANOVA procedure is called a 1. partition 2. treatment 3. response 4. factor

4. factor

Of the two production methods, a company wants to identify the method with the smaller population mean completion time. One sample of workers is selected and each worker first uses one method and then uses the other method. The sampling procedure being used to collect completion time data is based on​ 1. worker samples 2. pooled samples 3. independent samples 4. matched samples

4. matched samples

When conducting a hypothesis test comparing two populations with independent samples, each observation from one sample is related to an observation from the other sample. true or false?

false

When performing matched-samples test the level of significance α is always equal to 0.05 true or false?

false

The hypothesis statement: H0 : μ1 - μ2 = 0 is an example of a two-tail hypothesis test. true or false?

true

When the confidence interval for the difference between two means does not include zero when testing H0 : μ1 - μ2 = 0 , we have support that a significant difference between population means does exist. true or false?

true

When sigma1 and sigma2 are unknown we will 1. assume .05 as level of significance 2. use the sample standard deviations, s1 and s2, as estimated of sigma1 and sigma2 3. always use matched samples design 4. assume that the populations have equal means

2. use the sample standard deviations, s1 and s2, as estimated of sigma1 and sigma2

If two independent large samples are taken from two populations, the sampling distribution of the difference between the two sample means 1. can be approximated by any distribution 2. will have a variance of one 3. can be approximated by a normal distribution 4. will have a mean of one

3. can be approximated by a normal distribution

In order to determine whether or not the means of two populations are equal 1. a t test must be performed 2. an analysis of variance must be performed 3. either a t test or an analysis of variances can be performed 4. a chi-square test can be performed

3. either a t test or an analysis of variances can be performed

In factorial designs, the response produced when the treatments of one factor interact with the treatments of another in influencing the response variable is known as 1. main effect 2. replication 3. interaction 4. error

3. interaction

The required condition for using an ANOVA procedure on data from several populations is that the 1. selected samples are dependent on each other 2. response variables from samples are all uniform 3. samples populations have equal variances 4. samples populations have equal means

3. samples populations have equal variances

Which of the following is NOT a required assumption for the analysis of variance? 1. the random variable of interest for each population has a normal probability distribution 2. the variance associated with the random variable must be the same for all populations 3. at least 2 populations are under consideration 4. populations under consideration have equal means

4. populations under consideration have equal means