Marketing Research Ch.11 HW

Identify the true statements about the Scheffe procedure.

- It holds experimental error rate to sigma, which causes wider confidence intervals than in other methods. - It identifies differences between all pairs of means at low and high ranges of confidence intervals.

Identify the true statements about the mean, a measure of central tendency.

- It is relatively insensitive to the addition or deletion of data values. - It is calculated in interval or ratio data scales.

Identify the true statements about the median, a measure of central tendency.

- It is useful for data values that are distorted to either the left or right. - It is particularly helpful as central tendency measure for oridinal data.

Identify the measures of central tendency.

- Mode - Mean - Median

Identify the measures of dispersion.

- Standard deviation - Range

Identify the true statements about the F ratio.

- The larger the diffence in the variance between groups, the larger the F ratio. - Larger F ratios imply that there are significant differences between groups.

Match the measures of central tendency with the most appropriate data scales taht they can be used to measure. 1. Mean 2. Median 3. Mode

1. Interval or ratio data, except when there are outliers in the data 2. Ordinal data 3. Nominal data

Match the types of hypotheses with their descriptions. 1. Null hypothesis 2. Alternative hypothesis

1. It is based on the idea that changes from the past are caused entirely by random error. 2. It states that there is a difference between the means of a group.

Match the types of scale with the appropriate measures of dispersion. 1. Nominal 2. Ordinal 3. Interval or ratio

1. None 2. Percentile 3. Standard deviation

Match the types of statistics with their descriptions. 1. Parametric statistics 2. Nonparametric statistics

1. They are used when sample data are collected from populations with bell-shaped distributions. 2. They are used when one cannot assume a normal distribution.

Match the types of samples with their descriptions. 1. Independent samples 2. Related samples

1. Two or more groups of responses that are tested as though they may come from different populations 2. Two or more groups of responses that originated from the sample population

Determine the mean for the following data set: 2, 5, 7, 12, 8, 17, 19, 18.

11

Determine the mode value for the following data distribution: 29, 56, 89, 45, 26, 29, 33, 42, 45, 56, 54, 25, 26, 56, 39.

56

Calculate the median for the following distribution of data values: 6, 5, 9, 8, 3, 7, 4, 6, 8.

6

Determine the range for the following data distribution: 56, 14, 25, 91, 73, 86, 40, 23.

77

Identify the hypothesis that can be tested using a univariate test of significance.

AlcaShop Inc.'s new service will be preferred by 95 percent of the current consumer base.

The test used to statistically evaluate the differences between the group means in analysis of variance (ANOVA) is called the _ _.

F-test

True or false: The analysis of variance (ANOVA) technique enables researchers to identify which pairs of means are significantly difference from each other.

False

Identify a true statement about cross-tabulation.

It is used to determine if there is a difference among subgroups of the total sample.

Which of the following describes the average distance of the distribution values from the mean?

Standard deviation

Which of the following is a ratio of the difference between two sample means and the standard error?

The t value

True or false: Sample statistics are useful in drawing inferences about a popuatlion's parameters.

True

True or false: Unlike the univariate test, in the bivariate test, researchers assume that samples are taken from populations with normal distributions and that there are equal variances in the populations.

True

A statistical technique that determines whether three or more means are statistically different from one another is called ____.

analysis of variance (ANOVA)

A(n) _ _ shows tabulated data in the form of bars that may be horizontally or vertically oriented.

bar chart

Which of the following assesses how closely observed frequencies fit the pattern of the expected frequencies and is referred to as a "goodness-of-fit" test?

chi-square analysis

An unproven supposition or proposition that temporarily explains certain fats or phenomena is called a(n) _____.

hypothesis

Multiple independent variables in an analysis of variance (ANOVA) can act together to affect dependent variable group means; this process is called a(n) _ _.

interaction effect

The arithmetic average of a sample, which means that all values of a distribution of responses are summed and divided by the number of valid responses, is called the ___.

mean

The value that appears in a distribution most often is called the ____.

mode

A type of analysis of variance (ANOVA) that can analyze several independent variables at the same time is called _ _ ANOVA.

n -way anova

Linda, a researcher, wants to conduct a study to understand the impact of a discount in a client's apparel store on customers who are 20 years old, 40 years old, and 60 years old. In order to do this, Linda must use ____.

one-way analysis of varaince (ANOVA)

A process that is used to develop maps showing the perceptions of respondents is called _ _.

perceptual mapping

The distance between the smallest and largest values of the variable is called the ____.

range

A hypothesis test that utilizes the t distribution and is used when the sample size is smaller than 30 and the standard deviation is called a(n) _ _.

t-test

Sometimes, the ____ is also used as a distribution's measure of dispersion.

variance