Activity 6 Data

Section 1

Mass Red Orange Yellow Green Blue Brown
53.92 2 1 3 5 7 5
52.39 4 0 8 0 9 1
51.35 2 2 2 3 13 0
53.03 2 4 6 2 7 1
52.92 1 3 3 6 9 0
55.27 4 2 5 5 6 3
51.71 2 5 2 7 7 0
53.73 1 2 9 4 7 1
51.61 1 1 4 3 10 3
53.81 1 2 7 3 8 1
57.70 3 1 5 1 12 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
11 53.404 1.849 0.55746 52.162 54.646 7.361 0.000024

Critical t values = ± 2.228

Section 2

Mass Red Orange Yellow Green Blue Brown
54.08 0 1 6 1 11 4
51.09 3 3 1 1 10 3
50.74 2 4 2 3 10 1
54.70 1 4 1 4 9 4
51.91 4 2 3 1 9 2
51.51 3 2 2 5 9 2
49.27 3 1 6 3 7 2
53.52 3 3 1 4 9 2
52.77 1 2 5 2 6 5
49.44 1 1 5 4 8 2
47.07 0 3 4 4 7 2
51.20 2 4 1 5 7 2
50.68 1 1 8 0 11 1
49.56 1 3 5 7 6 0
50.36 2 1 6 2 7 2
51.94 1 4 2 8 7 1
46.74 3 0 5 5 5 2
52.30 1 3 2 5 9 2
56.12 3 3 4 3 10 1
57.59 2 6 5 6 5 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
20 51.629 2.712 0.60645 50.360 52.899 3.841 0.001101

Critical t values = ± 2.093

Color Totals

Sect Red Orange Yellow Green Blue Brown Total Chi-Sq p-value
1 23 23 54 39 95 17 251 59.501 0.000000
2 37 51 74 73 162 42 439 70.236 0.000000
Total 60 74 128 112 257 59 690 125.710 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