Question

In: Statistics and Probability

A dentist wants to know if the flavor of toothpaste affects how often children brush their...

A dentist wants to know if the flavor of toothpaste affects how often children brush their teeth, and therefore the number of cavities they develop. She makes 3 different flavors of toothpaste: regular, bubble gum, and cherry. She randomly selects 9 children into one of three conditions and collects data about the number of cavities they have at a 60-month check-up. Here are the data (number of cavities detected at check-up:

Regular Flavor

Bubble Gum Flavor

Cherry Flavor

Child

Cavities

Child

Cavities

Child

Cavities

1

7

4

4

7

3

2

9

5

5

8

1

3

9

6

3

9

1

What is the value of the between-groups mean square?

What is the value of the within-groups mean square?

What is the Fobt value?

What is the Fcrit value, assuming a α = 0.05?

What would you conclude?

Using Tukey’s HSD, determine if Group 1 (Regular Flavor) has significantly more cavities than Group 3 (Cherry Flavor). Assume alpha of .05 when determining qcrit.

must show work.

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Expert Solution

orchestra answered 2 years ago
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