Question

A bag of M&M's is purchased, and the red and brown candies are individually weighed. The following data is found for each color.
For the 10 red candies, the weights are listed below. Build a 95% confidence interval for the mean weight of red M&M's plain candies:

0.909 0.983 0.952 0.913 0.891 0.877 0.933 0.908 0.897 0.912 0.909 0.952 0.891 0.933 0.897 0.983 0.913 0.877 0.908 0.912

For the 36 brown candies, the weights are listed below. Build a 95% confidence interval for the mean weight of brown M&M's plain candies:

    0.986  0.909  0.858  0.923  0.93    0.904 
    1.001  0.921  0.931  0.86   0.867   0.872 
    0.866  0.905  0.912  0.861  0.928   0.929 
    0.936  0.92   0.898  0.889  0.875   0.876 
    0.902  0.9    0.897  0.955  0.985   0.909 
    0.871  0.902  0.988  0.915  0.914   0.856

Answer 1

For Red M&M's plain candies:

Sample size, n = 10

Sample mean, =

Sample standard deviation, =

At = 1-0.95 =0.05 and df = 10-1 = 9, two tailed critical value, = 2.262

95% confidence interval for the mean:

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For Brown M&M's plain candies:

Sample size, n = 36

Sample mean, =

Sample standard deviation, =

At =1-0.95 =0.05 and df = 36-1 = 35, two tailed critical value, = 2.030

95% confidence interval for the mean: