In: Statistics and Probability
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
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