3. A pharmaceutical company is developing a drug that is designed to increase wh

ID: 3382447 • Letter: 3

Question

3. A pharmaceutical company is developing a drug that is designed to increase white blood cell count. They measured 50 patients both before and after taking the drug, and then found that the differences in their white blood cell count (after – before) were not normally distributed. However, taking the log of the differences resulted in a normal distribution. a. Assuming they want to run a parametric t-test on this data, write the appropriate null and alterative hypotheses. Be sure to define any variables you use. b. If the test ran on the hypotheses above resulted in a p-value = 0.02, what should they conclude? I'm just not sure what exactly a parametric t-test is and what makes it different form other t tests 3. A pharmaceutical company is developing a drug that is designed to increase white blood cell count. They measured 50 patients both before and after taking the drug, and then found that the differences in their white blood cell count (after – before) were not normally distributed. However, taking the log of the differences resulted in a normal distribution. a. Assuming they want to run a parametric t-test on this data, write the appropriate null and alterative hypotheses. Be sure to define any variables you use. b. If the test ran on the hypotheses above resulted in a p-value = 0.02, what should they conclude? I'm just not sure what exactly a parametric t-test is and what makes it different form other t tests 3. A pharmaceutical company is developing a drug that is designed to increase white blood cell count. They measured 50 patients both before and after taking the drug, and then found that the differences in their white blood cell count (after – before) were not normally distributed. However, taking the log of the differences resulted in a normal distribution. a. Assuming they want to run a parametric t-test on this data, write the appropriate null and alterative hypotheses. Be sure to define any variables you use. b. If the test ran on the hypotheses above resulted in a p-value = 0.02, what should they conclude? I'm just not sure what exactly a parametric t-test is and what makes it different form other t tests

Explanation / Answer

the only different is this:

Hypothesis Tests of the Mean and Median

Nonparametric tests are like a parallel universe to parametric tests. The table shows related pairs of hypothesis tests that Minitab statistical software offers.

Parametric tests (means)

Nonparametric tests (medians)

1-sample t test

1-sample Sign, 1-sample Wilcoxon

2-sample t test

Mann-Whitney test

One-Way ANOVA

Kruskal-Wallis, Mood’s median test

Factorial DOE with one factor and one blocking variable

Friedman test

Ho : miu after taking the drug > miu before taking the drug

H1 : miu after taking the drug <= miu before taking the drug

it depend how much error you accept

if you accept 0.05 of error ( alpha = 0.05) you can reject Ho

but if you accept 0.01 of error ( alpha = 0.01) you can fail to reject Ho