Question

1. For a consumer of aspirin, it is important that the product be consistent with respect to amount of active aspirin in a tablet. Here are the amounts of aspirin contained in samples drawn from the production of two different manufacturers (M1 and M2). Do the data indicate any differences with respect to consistency in amount? Be sure to include a statement to be tested, describe the random variables involved and assumptions about them, level of significance, statistical hypotheses, test statistic, and the critical region. If you do this problem “by hand”, show your work. If you ask SPSS to do it, include the SPSS output in your response and explain how you used it to answer the question.

        M1           M2

353.85     355.55

354.86     356.87

354.71     388.61

353.65     370.44

343.64     363.27

354.29     356.15

359.91     352.46

354.29     357.72

355.05     308.22

345.82     351.06

Answer 1

The SPSS output is:

The hypothesis being tested is:

H₀: µ₁ = µ₂

H₁: µ₁ ≠ µ₂

The test statistic is -0.463.

The p-value is 0.649.

Since the p-value (0.649) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we cannot conclude that there are any differences with respect to consistency in amount.