EXPERIMENT #1 Prednisone is a corticosteroid used to treat many inflammatory dis

Question

EXPERIMENT #1

Prednisone is a corticosteroid used to treat many inflammatory diseases such as asthma, ulcerative colitis, arthritis, or acne. However, prolonged use of the drug can cause patients to develop osteoporosis, low bone density. Recently a new drug, prednisolone has been developed that acts as anti-inflammatory with fewer side effects. To compare the drugs impact on bone density a study was done in which two groups of cats received equivalent doses of prednisone or prednisolone for an equivalent time period. At the end of the treatment period the bone density of both groups was measured. Each measurement represents an individual cat that was given either Prednisone or Prenisolone. Now the researchers want to use a t-test to see if the data show any differences between the treatments.

1) Is this a one-tailed or two-tailed test?  (you'll want this information for the formula that you will use).

Also, for the formula, assume unequal variance between treatment groups (specify type 3 t-test in your spreadsheet software).

The data for Experiment #1 are located here: https://docs.google.com/spreadsheets/d/1MQtxcLvd7TSqPrE2j3mNXTBkO835-z89SsKa1jE4S60/copy

Using Google Sheets (or another spreadsheet if you have a favorite), calculate the t-test probability.

2) Copy and paste your calculated t-test probability here? (to at least 3 significant figures):

3) Based on the t-test probability you would  the null hypothesis? (reject, fail to reject)

4) Is it likely that the bone density of the prednisolone treatment group is greater than the prednisone treatment group?

Explanation / Answer

Hi

Please find the T test sheet below.

The calculated T test value is  6.74599. The value from T test table at = 0.05, df = 1 is 6.314. The calculated T value is more than the p-value. The result is significant at p < .05.

We will do 2 tailes test. The hyothesis is whether the bone density chanes or not. The bone density may increase or decrease, thus it can change in both the directions.

Since our result is significant, we reject the null hypothesis.

The bone density of the prednisolone is likely to be more than the prednisone.

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