Activity 6 Data

Section 1

Mass Red Orange Yellow Green Blue Brown
53.99 2 1 5 8 4 3
50.63 1 2 7 4 4 4
53.41 3 2 7 3 3 5
50.05 0 4 4 7 3 2
48.85 2 1 9 4 4 1
51.99 0 4 4 4 9 1
48.64 3 1 7 7 3 1
50.65 5 2 4 4 1 6
50.17 5 0 7 1 7 2
51.68 3 2 4 7 6 0
53.67 0 2 9 6 2 4
51.30 2 2 5 5 4 4
52.30 1 1 6 8 1 5
51.53 1 1 8 4 5 2
51.86 2 3 8 5 4 0
53.17 1 3 11 2 3 2
51.79 4 2 6 6 3 1
50.77 2 2 7 6 3 1
52.75            
53.74 1 1 9 5 5 1

One Sample T Test

H0: μ = 49.3 vs H1: μ ≠ 49.3

n mean st dev SE mean 95% Conf Int Test
Statistic
p-value
lower upper
20 51.647 1.552 0.34697 50.921 52.373 6.764 0.000002

Critical t values = ± 2.093

Section 2

Mass Red Orange Yellow Green Blue Brown
51.09 1 2 8 5 4 1
50.84 2 3 8 5 2 1
49.13 1 2 5 9 0 3
49.75 1 1 4 3 9 3
51.25 2 5 3 7 3 1
53.97 3 1 7 6 4 1
54.56 1 4 7 5 2 4
52.25 3 3 9 5 2 0
51.56 4 1 8 3 4 2
53.93 1 1 4 7 9 1
51.83 1 0 9 5 3 3
52.18 2 5 6 2 5 2
51.44 2 1 9 4 3 2
50.12 2 2 7 6 2 2
50.84 3 1 4 7 4 3
50.12 2 4 6 3 3 4
51.59 5 4 7 1 3 2
50.87 2 1 7 6 4 1
50.63 2 1 5 9 3 0
53.87 1 0 14 5 3 0
50.16 2 4 1 9 4 3
53.78 3 3 5 5 6 0

One Sample T Test

H0: μ = 49.3 vs H1: μ ≠ 49.3

n mean st dev SE mean 95% Conf Int Test
Statistic
p-value
lower upper
22 51.625 1.536 0.32742 50.945 52.306 7.102 0.000001

Critical t values = ± 2.080

Color Totals

Sect Red Orange Yellow Green Blue Brown Total Chi-Sq p-value
1 38 36 127 96 74 45 416 130.439 0.000000
2 46 49 143 117 82 39 476 149.145 0.000000
Total 84 85 270 213 156 84 892 277.598 0.000000
Claim 12% 23% 15% 15% 23% 12% 100%  

Critical chi-square value = 11.070

Data Dictionary

Sect
Section of Math 113
Mass
Mass in grams of candy in bag of peanut M&M's®. The bag is claimed to contain 49.3 g of candy.
Red, Orange, Yellow, Green, Blue, Brown
The number of each color M&M's in the bag.
Total
The total number of M&M's in the bag