Deck 18: Hypothesis Testing: Means and Proportions

Question 1

The hypothesized value of the defect free printers is

A)0.87
B)0.13
C)0.95
D)0.05
E)none of the above.

Answer 1

0.95

Question 2

Standard deviation is a measure of spread of data

Answer 2

False

Question 3

The p-value is independent of the sample size.

Answer 3

False

Question 4

To measure the difference between means or the difference between independent sample proportions, one would probably use which statistical technique ?

A)chi-square test
B)sign test
C)F-test
D)t-test

Question 5

The z test statistic is

A)ñ1.645
B)ñ1.96
C)ñ3.08
D)ñ2.25
E)none of the above.

Question 6

A good descriptive statistic of measuring the strength of association is to measure "Rho," which is the proportion of variance accounted for in the sample data.

Question 7

Standard error of the proportions is

A)0.0145
B)0.02
C)-0.0145
D)0.308
E)0.05

Question 8

In an ANOVA test, "within-treatment variance" corresponds to the variance in the response variable for a given treatment.

Question 9

Which of the following is not an underlying assumption for the ANOVA model ?

A)The error effects are normally distributed
B)The mean of the error effects is zero
C)The variance of the error effects is zero
D)The error effects are uncorrelated

Question 10

The ANOVA table is a conventional way to present a hypothesis test regarding the difference between several means.

Question 11

In an ANOVA test, if the "between-treatment variance" is lesser than the "within-treatment variance," then the null hypothesis can be rejected.

Question 12

In a hypothesis test when alpha is pre-specified, the researcher is trying to determine "Is the probability of what has been observed lesser than alpha?" and then decide accordingly.

Question 13

A measure of spread of data is called

A)standard deviation
B)mean
C)range
D)skewness

Question 14

The greater the p-value, the higher is the researcher's confidence in the research findings.

Question 15

The choice of the distribution depends only on the size of the sample

Question 16

The decision rule is

A)reject the null and conclude that the product doesn't meet specifications.
B)fail to reject the null and conclude that the product meets specifications.
C)inadequate sample size and hence conduct a retest.
D)standard deviation of the sample to be calculated.
E)none of the above.

Question 17

There is a trade-off involved between the costs of each of the two kinds of errors

Question 18

The p-value can be defined as the largest significance level at which we would accept the null hypothesis.

Question 19

In an ANOVA test, "between-treatment variance" corresponds to the variance in the response variable for different treatments.

Question 20

In analysis of variance, "sums of squares explained" could be interpreted as being proportional to

A)the difference between a group's mean and a given group member
B)the difference between a group's mean and the overall mean
C)the sum of the inter-group and intra-group variance
D)the sum of variance between all group members
E)none of the above