Prednisolone is a relatively new drug for treating inflammatory diseases. This d
ID: 3369003 • Letter: P
Question
Prednisolone is a relatively new drug for treating inflammatory diseases. This drug replaces prednisone, a corticosteroid that can cause patients to develope osteoporosis, low bone density if the drug is used for a prolonged time period. Here, we are comparing a group of 30 cats receiving prednisolone to a group of 30 cats receiving a placebo. The cats receiving a placebo will serve as a control group. After receiving treatment for 6 weeks a bone scan was done to assess bone density in cats receiving prednisolone and cats receiving a placebo.
H0: Cats receiving prednisolone will not have a different bone density than cats receiving a placebo.
HA: Cats receiving prednisolone will have a different bone density than cats receiving a placebo.
Click here to access the Prednisolone Data
If decimals are part of the answer, round your answers to two significant figures unless otherwise specified.
When calculating a t-value, you should arrive at a positive value. This is accomplished by setting N1 = to the larger mean and N2 = to the smaller mean.
Here is the equation for a two tailed unpaired t-test. Use excel or sheets to calculate the components of the equation and then use a formula in excel or sheets to do all the arithmetic in one step. Do not round until the very end.
What is the average bone density of cats receiving a placebo? g/cm3
What is the average bone density of cats receiving prednisolone? g/cm3
What is N for the control group?
What is N for the prednisolone group?
What is the standard deviation for the control group?
What isstandard deviationfor the prednisolone group?
How many degrees of freedom does this experiment have?
What will the numerator for the t-test equal?
What will the denominator for the t-test equal?
What is the calculated t value for comparing cats treated with prednisolone to cats receiving a placebo? (round to 2 decimals)
Use the t-table below to answer the following question. Use an alpha value of 0.05 for a two-tailed t-test.
Will you reject or fail to reject the null hypothesis that prednisalone does not have an effect on bone density?
Rep # Control Prednisolone 1 0.5 0.52 2 0.49 0.4 3 0.51 0.52 4 0.47 0.44 5 0.49 0.39 6 0.51 0.4 7 0.53 0.53 8 0.53 0.59 9 0.53 0.58 10 0.5 0.47 11 0.56 0.52 12 0.5 0.49 13 0.47 0.41 14 0.45 0.47 15 0.47 0.48 16 0.49 0.44 17 0.51 0.5 18 0.53 0.53 19 0.46 0.55 20 0.54 0.38 21 0.49 0.57 22 0.41 0.46 23 0.46 0.48 24 0.55 0.43 25 0.57 0.48 26 0.45 0.31 27 0.49 0.48 28 0.55 0.52 29 0.48 0.53 30 0.59 0.5Explanation / Answer
The cats receiving a placebo will serve as a control group
What is the average bone density of cats receiving a placebo?
15.08g/cm^3
What is the average bone density of cats receiving prednisolone? g/cm3
14.37 g/cm^3
What is N for the control group?
N=30
What is N for the prednisolone group?
N=30
What is the standard deviation for the control group?
What isstandard deviationfor the prednisolone group?
H0: Cats receiving prednisolone will not have a different bone density than cats receiving a placebo.
HA: Cats receiving prednisolone will have a different bone density than cats receiving a placebo.
What is the calculated t value for comparing cats treated with prednisolone to cats receiving a placebo?
t=1.70
Use the t-table below to answer the following question. Use an alpha value of 0.05 for a two-tailed t-test.
t crit=2.01
Will you reject or fail to reject the null hypothesis that prednisalone does not have an effect on bone density
t cal < t crit
Fail to reject Null hypothesis
fail to reject the null hypothesis that prednisalone does not have an effect on bone density
SUMMARY Groups Count Sum Average Variance Control 30 15.08 0.502667 0.001613 Prednisolone 30 14.37 0.479 0.004168