A company wishes to evaluate the effect of package design on one of its products, a certain brand of cereal. The four package designs are to be tested in different stores throughout a large city. There are 20 stores available for the study. The amount of cereal sold is known to vary depending on the size of the stores. The 20 stores are divided into five groups of four stores each by size. The following sales figures ($1000s) were obtained after a 1-month period. Stores Design A Design B Design C Design D 1 40 33 37 38 2 45 27 32 40 3 43 31 30 41 4 44 38 40 42 5 56 45 49 42 Enter the above data into a suitable software and then conduct an analysis of variance without blocking to test whether there is evidence of a significant difference in mean sales of different package designs. Use alpha = 0.01. What is the conclusion for the null hypothesis that all treatment means are equal? O Do not reject HO. There is sufficient evidence to conclude that the average sales for all stores are not equal. O Reject HO. There is not sufficient evidence to conclude that average sales for all stores are not equal. O Do not reject HO. There is sufficient evidence to conclude that average sales for all package designs are not equal. O Do not reject HO. There is not sufficient evidence to conclude that average sales for all package designs are not equal. O Reject HO. There is sufficient evidence to conclude that average sales for all package designs are not equal.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 27PFA

See similar textbooks

Related questions

Question

Transcribed Image Text:A company wishes to evaluate the effect of package design on one of its products, a certain brand of cereal. The four package designs are to be tested in different stores throughout a large city. There are 20 stores available for the study. The amount of cereal sold is known to vary depending on the size of the stores. The 20 stores are divided into five groups of four stores each by size. The following sales figures ($1000s) were obtained after a 1-month period. Stores Design A Design B Design C Design D 1 40 33 37 38 2 45 27 32 40 3 43 31 30 41 4 44 38 40 42 5 56 45 49 42 Enter the above data into a suitable software and then conduct an analysis of variance without blocking to test whether there is evidence of a significant difference in mean sales of different package designs. Use alpha=0.01. What is the conclusion for the null hypothesis that all treatment means are equal? O Do not reject HO. There is sufficient evidence to conclude that the average sales for all stores are not equal. O Reject HO. There is not sufficient evidence to conclude that average sales for all stores are not equal. O Do not reject HO. There is sufficient evidence to conclude that average sales for all package designs are not equal. O Do not reject HO. There is not sufficient evidence to conclude that average sales for all package designs are not equal. O Reject HO. There is sufficient evidence to conclude that average sales for all package designs are not equal.

Expert Solution