Looking for C.) 5. (Exercise 6.7.7) (modified) The following table summarizes th

Question

Looking for C.)

5. (Exercise 6.7.7) (modified) The following table summarizes the sucrose consumption (mg in 30 min) of black blowflies injected with Pargyline or saline (control) Sample 1|Sample 2 905 46.5 11.7 900 14.9 5.4 (A) Construct a 95% confidence interval for the difference in population means. (B) Construct a 99% confidence interval for the difference in population means (C) Using your interval computed in (A) to support your answer, is there strong evidence that the sucrose consumption of black blowflies is indeed larger when injected with Pargyline compared to saline (control)?

Explanation / Answer

The null hypothesis for paired t tests is always of the type that:

H0: There is no significant difference between the mean difference of two effects.

Here , the 95% confidence interval for the given problem when solved came out to be (30.76012, 32.43981). This region will be the acceptance region for H0 , which will be very small, since the confidence interval limits are close to each other. Therefore, lesser observations will support the null hypothesis, which in turn will increase the chances of acceptance of alternate hypothesis, that one treatment is better than the other.

Therefore, yes, there is a strong evidence that the sucrose consumption of black blowflies is indeed larger when injected with Pargyline compared to saline (control)

Hope this answer helps you and leaves your mind crystal clear with the logic and concept used. Hope to get a feedback so that we will be able to serve you better. ! Best of luck dear..!

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