The makers of Country Boy Corn Flakes are thinking about changing the packaging of the cereal...

The makers of Country Boy Corn Flakes are thinking about changing the packaging of the cereal with the hope of improving sales. In an experiment, five stores of similar size in the same region sold Country Boy Corn Flakes in different-shaped containers for 2 weeks. Total packages sold are given in the following table. Using a 0.05 level of significance, shall we reject or fail to reject the hypothesis that the mean sales are the same, no matter which shape box is used?

Cube	Cylinder	Pyramid	Rectangle
116	107	71	161
86	113	60	93
66	177	114	126
98	90	68	89
70	81	84	110

Classify the problem as being a Chi-square test of independence or homogeneity, Chi-square goodness-of-fit, Chi-square for testing or estimating σ² or σ, F test for two variances, One-way ANOVA, or Two-way ANOVA, then perform the following.

(a) Find the sample test statistic

.

(b) In the case of one-way ANOVA, make a summary table.

Source of Variation	Sum of Squares	Degrees of Freedom	MS	F Ratio	P Value	Test Decision
Between groups						Reject or Do not reject
Within groups
Total

Expert Solution

We will conduct a single factor ANOVA here since we have only one factor of interest here.

a)

The test statistic: F = 2.1579

b)

: at least one mean is different than the other

Significance level:

The P-value > 0.05, since the P-value is > significance level, we fail to reject the null hypothesis

We have no evidence to reject the claim that the mean sales are the same, no matter which shape box is used

orchestra answered 1 year ago

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