Jointsoft is a great over-the-counter arthritis medication, but who will ever know about it? Unfortunately, many people with arthritis tend to be elderly and rather immobile, so advertisers of arthritis medications face limitations in ways to get their messages across. Currently, their best modes of advertisement are commercials on daytime TV, advertisements in select magazines, fliers in convalescent homes, and advertisements on certain Web pages.Marketing managers for Jointsoft are investigating these four modes of advertisement in four small communities (with a different mode of advertisement in each community). The marketing managers have selected 33 days at random and are looking at the daily sales (in dollars) in each of the communities on each of these days. Here is what they have to work with. Sample Sample SamplesizeGroupsmeanvarianceTV33569.11767.2Magazines33560.84068.4Fliers33580.71737.5Web pages33564.81640.4Send data to calculatorSend data to ExcelSuppose that the marketing managers perform a one-way, independent-samples ANOVA test to decide if there are differences in the mean daily sales arisingfrom the four modes of advertisement. (So, they're assuming that the only difference among the four communities is the mode of advertisement used in it.)Such a test uses the following statistic.Variation between the samplesF =Variation within the samplesFor the information in the chart above, F 1.06.(a) Give the p-value corresponding to this value of theF statistic. Round your answer to at least threedecimal places.(b) Using the 0.01 level of significance, can themarketing managers conclude that the mean dailysales arising from at least one of the modes ofadvertisement differs from the others?O YesO No

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 8PPS

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Jointsoft is a great over-the-counter arthritis medication, but who will ever know about it? Unfortunately, many people with arthritis tend to be elderly and rather immobile, so advertisers of arthritis medications face limitations in ways to get their messages across. Currently, their best modes of advertisement are commercials on daytime TV, advertisements in select magazines, fliers in convalescent homes, and advertisements on certain Web pages.

Marketing managers for Jointsoft are investigating these four modes of advertisement in four small communities (with a different mode of advertisement in each community). The marketing managers have selected 33 days at random and are looking at the daily sales (in dollars) in each of the communities on each of these days. Here is what they have to work with.

Sample Sample Sample
size
Groups
mean
variance
TV
33
569.1
1767.2
Magazines
33
560.8
4068.4
Fliers
33
580.7
1737.5
Web pages
33
564.8
1640.4
Send data to calculator
Send data to Excel
Suppose that the marketing managers perform a one-way, independent-samples ANOVA test to decide if there are differences in the mean daily sales arising
from the four modes of advertisement. (So, they're assuming that the only difference among the four communities is the mode of advertisement used in it.)
Such a test uses the following statistic.
Variation between the samples
F =
Variation within the samples
For the information in the chart above, F 1.06.
(a) Give the p-value corresponding to this value of the
F statistic. Round your answer to at least three
decimal places.
(b) Using the 0.01 level of significance, can the
marketing managers conclude that the mean daily
sales arising from at least one of the modes of
advertisement differs from the others?
O Yes
O No

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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