Activity 6 Data

Section 1

Mass Red Orange Yellow Green Blue Brown
51.17 5 4 2 2 5 3
56.02 1 3 4 3 8 3
51.80 2 3 5 1 7 3
54.28 2 6 3 6 3 2
55.17 0 7 5 5 4 2
50.46 0 3 5 6 3 3
50.88 4 4 5 4 3 0
50.73 4 3 4 4 4 2
49.00 1 4 4 3 6 1
52.30 3 4 6 1 3 3
50.41 3 7 2 5 4 0
51.59 7 2 2 2 8 0
50.97 4 2 5 5 3 2
50.09 2 2 3 4 5 4
53.40 3 7 2 4 4 2

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
15 51.885 1.993 0.51469 50.781 52.989 5.022 0.000187

Critical t values = ± 2.145

Section 2

Mass Red Orange Yellow Green Blue Brown
51.33 5 3 5 2 6 1
52.56 3 3 2 5 7 1
53.95 2 3 1 4 8 4
52.96 2 2 8 4 5 1
50.93 1 7 4 2 5 2
51.11 5 4 5 4 1 1
53.60 3 7 2 2 5 3
50.98 1 2 5 6 5 2
57.01 3 6 5 5 3 2
43.16 0 5 5 4 1 2
54.04 3 8 5 5 2 0
49.64 2 5 4 6 2 1
53.57 3 3 3 6 4 4
51.26 5 2 7 1 5 1
54.05 1 5 2 6 5 3
54.73 3 5 3 3 7 2
51.34 3 3 2 7 4 1
50.87 2 2 5 4 8 0
49.14 2 6 4 2 4 3
50.10 2 6 4 3 4 1
52.70 3 6 3 3 5 1
54.88 2 5 1 6 6 2

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 51.996 2.768 0.59024 50.768 53.223 4.567 0.000167

Critical t values = ± 2.080

Color Totals

Sect Red Orange Yellow Green Blue Brown Total Chi-Sq p-value
1 41 61 57 55 70 30 314 7.075 0.215108
2 56 98 85 90 102 38 469 15.701 0.007753
Total 97 159 142 145 172 68 783 21.698 0.000598
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