Question

In: Statistics and Probability

Dandee Donuts wants to determine if there are differences in what donuts people prefer. The research...

Dandee Donuts wants to determine if there are differences in what donuts people prefer. The research hypothesis is that there is a difference between donuts. They consult their records and pick a random selection of days for each donut and write the count of how many donuts were sold. The data set is below: The Dandee Donut The Sour Cream Donut White Frosted Donut 560 435 200 485 490 235 787 327 157 324 599 268 580 430 215 672 385 400 499 575 307 583 200 108 245 433 203 Perform a one-way ANOVA.

What can we conclude from this test? the null hypothesis. There between donuts. They additional t-tests to determine where that difference i

Solutions

Expert Solution

H0: There is no significance difference among the means of three group

H1: At least two groups means are different

From the given data

Total Ti^2/ni
The Dandee Donut 560 485 787 324 580 672 499 583 245 4735 2491136
The Sour Cream Donut 435 490 327 599 430 385 575 200 433 3874 1667542
White Frosted Donut 200 235 157 268 215 400 307 108 203 2093 486738.8
G= 10702 4645417

Since p-value = 0.000 < alpha 0.05 so we reject H0

Thus we conclude that  tt least two group means are different

t-test:

From the given data


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