Question

Statistics Analysis question! BUS310

In a one-way ANOVA test, we conclude there are differences across population means if the

a. between variation is small relative to the within variation

b.  between variation is large relative to the within variation

c.     between variation and within variation are equal

Suppose a researcher sets up a design in which there are five different means and a total of 32 measurements in the study. For alpha = .01, the critical table F value is ____.

a. 4.07

b. 3.75

c. 3.78

d, 4.91

e. 4.1

The strength of a linear relationship in simple linear regression change if the units of the data are converted, say from feet to inches.

a. True

b. False

The contingency table in a chi-square test of independence between two variables has four rows and six columns representing the number of categories for each variable. The number of degrees of freedom associated with the test statistic is __________.

a.15

b. 24

c. 10

d. 20

Which of the following statements is true regarding the chi-square goodness-of-fit test for normality:

a. The test does depend on which and how many categories we use for the histogram.

b. The test is not very effective unless the sample size is large, say, at least 80 or 100.

c. The test tends to be too sensitive if the sample size is really large.

d. None of the above responses are true

e. Responses a, b and c are correct

The weakness of scatterplots is that they:

a. do not actually quantify the relationships between variables

b. only help identify outliers

c.can be misleading about the types of relationships they indicate

d. do not help identify linear relationships

A cost accountant is developing a regression model to predict the total cost of producing a batch of printed circuit boards as a linear function of batch size (the number of boards produced in one lot or batch). The slope of the accountant’s model is ______.

a. unit variable cost

b. total variable cost

c. fixed cost

d. batch size

e. total cost

A chi-square goodness-of-fit test can be used as an alternative to z-test for population proportions if there are only two classifications.

a. true

b. false

Thank you!

Answer 1

1) In a One-way Anova, the test statistic is the ratio of the quantities MSB( Mean of Square between groups) and MSW(Mean of Squares within groups). There will be difference in population means if Between Variation is larger than within variation.

Option-b

2)The critical value of the ANOVA is F(k-1,n-k,alpha) where k is the number of groups, n is the number of observations and alpha is the level of significance. The value is 4.10.

Option-e
3)The strength of a relationship does not change with change in unit because for one unit relative change of the predictor there is a one unit change of response variable or dependent variable.

Option-b

4) The number of degrees of freedom for a chisquare table with 4 rows and 6 columns is (4-1)*(6-1)=15

Option-a

5)The Chi-square goodness of fit is not quite good for too small and too large samples. Therefore it is too sensitive when the sample size is too large.

Option-c

6)The weakness of scatterplots is that they cant quantify the relationship between the variables.

Option-a

7)The slope is the unit variable cost.

Option-a

8)For two classifications the chi-square goodness of fit test can be used in place of the z-test for population proportions.

Option-a