Question

Using Minitab and given the data sets below a) determine if there is a difference in the means at an alpha level 0.05; b) determine if the variability of data set A is larger.

Data A	Data B
35.8	40.9
40.4	35.7
30.3	36.7
46.8	37.3
34.1	41.8
34.0	39.9
39.1	34.6
45.0	38.8
41.9	35.8
40.2	35.6

Answer 1

(a) The Minitab output is:

The hypothesis being tested is:

H₀: µ₁ = µ₂

H₁: µ₁ ≠ µ₂

The p-value is 0.575.

Since the p-value (0.575) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we cannot conclude that there is a difference in the means.

(b) The Minitab output is:

The p-value is 0.020.

Since the p-value (0.020) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that the variability of data set A is larger.

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