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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. Marketing managers for Jointsoft are investigating several modes of advertisement in several small communities (with a different mode of advertisement being investigated in each community). The marketing managers have selected a collection of days at random and are looking at the daily Jointsoft sales (in dollars) in each of the communities on each of these days. 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. (Thus, they're assuming that the only difference among the four communities is the mode of advertisement used in it.) (a) The results of the ANOVA test are summarized in the ANOVA table below. Fill in the missing value in the ANOVA table. (round your answer to at least two decimal places) Source of Degrees of Sum of variation Mean F statistic freedom squares square Between 5 45,682.73 9136,55 groups Error (within groups) 216 567,072 2625.33 Total 221 612,754.73 (b) How many modes of advertisement were studied? (c) For the ANOVA test, it is assumed that the population variances of daily sales are equal for each mode of advertisement studied. What is an unbiased estimate of this common population variance based on the sample variances? (d) Using the 0.10 level of significance, what is the critical value of the F statistic for the ANOVA test? Round your answer to at least two decimal places. ? (e) Using the 0.10 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 that of the others? Yes No

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. Marketing managers for Jointsoft are investigating several modes of advertisement in several small communities (with a different mode of advertisement being investigated in each community). The marketing managers have selected a collection of days at random and are looking at the daily Jointsoft sales (in dollars) in each of the communities on each of these days. 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. (Thus, they're assuming that the only difference among the four communities is the mode of advertisement used in it.) (a) The results of the ANOVA test are summarized in the ANOVA table below. Fill in the missing value in the ANOVA table. (round your answer to at least two decimal places) Source of Degrees of Sum of variation Mean F statistic freedom squares square Between 5 45,682.73 9136,55 groups Error (within groups) 216 567,072 2625.33 Total 221 612,754.73 (b) How many modes of advertisement were studied? (c) For the ANOVA test, it is assumed that the population variances of daily sales are equal for each mode of advertisement studied. What is an unbiased estimate of this common population variance based on the sample variances? (d) Using the 0.10 level of significance, what is the critical value of the F statistic for the ANOVA test? Round your answer to at least two decimal places. ? (e) Using the 0.10 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 that of the others? Yes No

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
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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. Marketing managers for Jointsoft are investigating several modes of advertisement in several small communities (with a different mode of advertisement being investigated in each community). The marketing managers have selected a collection of days at random and are looking at the daily Jointsoft sales (in dollars) in each of the communities on each of these days. 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. (Thus, they're assuming that the only difference among the four communities is the mode of advertisement used in it.) (a) The results of the ANOVA test are summarized in the ANOVA table below. Fill in the missing value in the ANOVA table. (round your answer to at least two decimal places) Source of Degrees of Sum of Mean F statistic variation freedom squares square Between 5 45,682.73 9136.55 groups Error (within groups) 216 567,072 2625.33 Total 221 612,754.73 (b) How many modes of advertisement were studied? (c) For the ANOVA test, it is assumed that the population variances of daily sales are equal for each mode of advertisement studied. What is an unbiased estimate of this common population variance based on the sample variances? (d) Using the 0.10 level of significance, what is the critical value of the F statistic for the ANOVA test? Round your answer to at least two decimal places. (e) Using the 0.10 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 that of the others? Yes No
Transcribed Image Text: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. Marketing managers for Jointsoft are investigating several modes of advertisement in several small communities (with a different mode of advertisement being investigated in each community). The marketing managers have selected a collection of days at random and are looking at the daily Jointsoft sales (in dollars) in each of the communities on each of these days. 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. (Thus, they're assuming that the only difference among the four communities is the mode of advertisement used in it.) (a) The results of the ANOVA test are summarized in the ANOVA table below. Fill in the missing value in the ANOVA table. (round your answer to at least two decimal places) Source of Degrees of Sum of Mean F statistic variation freedom squares square Between 5 45,682.73 9136.55 groups Error (within groups) 216 567,072 2625.33 Total 221 612,754.73 (b) How many modes of advertisement were studied? (c) For the ANOVA test, it is assumed that the population variances of daily sales are equal for each mode of advertisement studied. What is an unbiased estimate of this common population variance based on the sample variances? (d) Using the 0.10 level of significance, what is the critical value of the F statistic for the ANOVA test? Round your answer to at least two decimal places. (e) Using the 0.10 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 that of the others? Yes No
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