Question

The maximum tolerable storage temperature for two formulations of solution is being studied. Two samples of 29 observations each are prepared using each of the 2 formulations and their maximum tolerable storage temperatures are recorded (in oF) below. Use this data to answer the following questions (these data are also available in the dataset storetemp_final available on Canvas).

Test whether the mean of the maximum tolerable storage temperature is the same for both formulation 1 and 2. Identify the statistical test you are using for this test and be sure to use the appropriate test based on your answer to (c). State the null and alternative hypotheses, the test statistic, p-value, and conclusion.

Answer 1

To test whether the mean of the maximum tolerable storage temperature is the same for both formulations, we can use a two-sample t-test.

The null hypothesis (H0) is that the means are equal, and the alternative hypothesis (Ha) is that the means are not equal.

Step-by-step explanation:

To test whether the mean of the maximum tolerable storage temperature is the same for both formulations, we can use a two-sample t-test. The null hypothesis (H0) is that the means are equal, and the alternative hypothesis (Ha) is that the means are not equal.

We calculate the test statistic by finding the difference in sample means divided by the standard error of the difference. We then compare the test statistic to the critical value or use the p-value to make a decision. If the p-value is less than the significance level (usually 0.05), we reject the null hypothesis and conclude that there is a significant difference in the means. Otherwise, we fail to reject the null hypothesis.

Based on the data, calculate the test statistic and p-value using a two-sample t-test. Compare the p-value to the significance level and make a conclusion based on the results.