Question

In: Statistics and Probability

people who had developed a cold within the previous 24 hours were randomized to take either...

people who had developed a cold within the previous 24 hours were randomized to take either medicine A and medicine B every 5 to 6 hour until their cold were gone. 22 participants took medicine A and 25 participants took medicine B.The mean overall duration of symptoms was found for each group. We want test to see if the medicine A

(a)What is the parameter of interest? Write it in words and use the correct symbol.

(b)What are the Hn and Ha? Write them in symbols and in words.

(c)What conditions must be met for the sampling distribution for the sampling statistic be approximately normal. List all of the conditions, whether or not you know they have been met, and how you would check them.

(d)Is this an example of a paired t test or an independent t test?

Solutions

Expert Solution

(a) Parameter of interest is the mean difference in duration of symptoms for medicine A and B. If mu1 and mu2 are the mean duration of symptoms of medicine A and B, then parameter of interest is mu1 - mu2

b) H0 :- There is no significant difference in mean duration of symptoms of medicine A and B that is , mu1 - mu2 = 0

Ha :- There is significant difference between mean duration of symptoms of medicine A and B, that is mu1 - mu2 is not zero

c) 1.) Population of patients is normal and both the group have same variance

d ) it's independent sample t test becuause two medicine's are not given to one individual. ( That is to measure the effect, same person is not used again )

orchestra answered 2 years ago
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