I company wishes to test a new drug with the expectation of lowering Ten subject

Question

I company wishes to test a new drug with the expectation of lowering Ten subjects are randomly selected and pretested. The subjects were cholesterol levels. placed tested again. The results are listed below. cholesterol levels. Use -001 . Assume the distribution is normally distributed. on the drug for a period of 6 months, after which their cholesterol levels were Test the company's claim that the drug lowers Before 195 225 2 After 1180 175 210 175 1 190 225 Test Statistic P-Value: Conclusion: (2 part)

Explanation / Answer

The test is paired t - test hypothesis testing for two dependent sample populations mean.

Here we will find the difference first and then we will find average difference in cholesterol level.

H0: There is no significant difference between cholesterol level 6 month before and cholesterol level after using drug for 6 months. nodrug - drug = 0

Ha : There is significant decrease in  cholesterol level 6 month after using drug for 6 months as compared to the cholestrol level 6 month before.  no drug - drug > 0

Here Difference table is

Here average value of difference dbar= 10

and standard deviation of difference sd = 11.489

standard error of difference between paired means sed= sd / sqrt(n) = 11.489/ sqrt(10) = 3.633

so Test statistic

t = dbar/  sed = 10/ 3.633 = 2.7524

so here one taile t test critica value

tcritical= t0.05,9 = 1.8331

so here t > tcritical so we can reject the null hypothesis and can conclude that there is significant decrease in  cholesterol level 6 month after using drug for 6 months as compared to the cholestrol level 6 month before.

Before After Difference 195 180 15 225 220 5 202 210 -8 195 175 20 175 170 5 250 250 0 235 205 30 268 250 18 190 190 0 240 225 15 Average 10 STD. Dev. 11.489

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