Question

Mr. Taylor's 4th grade class uses Skittles to learn about probability. They open several randomly selected bags of Skittles and sort and count the different colors and want to determine if Skittles are evenly distributed by color.

Col1 Color Red Orange Yellow Purple Green
Col2 Count 107 101 87 115 10

A) Choose the appropriate null and alternate hypotheses.B)What is the p-value?C)What is your conclusion?

Answer 1

The skitties are not evenly distributed by colour

Explanation:

Given that Mr. T aylor's 4th grade class uses Skittles to learn about probability. They open several randomly selected bags of Skittles and sort and count the different colors and want to determine if Skittles are evenly distributed by color.

`H_0: Skitties are equally distributed\\H_a: atleast two are not equally distributed`

(Two tailed chi square test)

If all are equally distributed then expected values would be equal to 420/5 =104

Observed Red Orange Yellow Purple Green Total

107 101 87 115 10 420

Expected 104 104 104 104 104 420

Chi square 0.0865 0.0865 2.7788 1.16345 84.9615 89.0769

Chi square is calculated as (obs-exp)^2/exp

Total chi square = 89.0769

df = 4

p value = <0.00001

Reject null hypothesis

The skitties are not evenly distributed by colour