For potential partial credit, show all work and do not leave anything blank 6. P

Question

For potential partial credit, show all work and do not leave anything blank 6. Professor Sprout at Hogwarts would like to see if the trees in one area of the Forbidden Forest are growing slower than the rest of the trees in the forest, possible due to tree disease (or possibly a stray curse). She knows that the trees in this forest are normally distributed and have a mean growth of 6' per year (converted to standard for us non-metric folks) with standard deviation of 0.1' per year. In one plot, she randomly sampled 25 trees and found them to growing at an average of 5.94 per year. Is there sufficient evidence that the trees in that area of the Forbidden Forest have a decreased growth rate compared to the know growth rate in the rest of the forest? (a) List hypotheses. aV I (b) Calculate the appropriate test statistic (z or t). ni q4 25 O.24

Explanation / Answer

Here i hope you have all the answer between (A) to (D)

(e) Here type I error has been committed. Type I error means that we will reject the null hypothesis even if it is correct. In this case, the interpretation is that we will accept that the forbidden forest have a decreased growth rate as compared to known growth rate of the rest of the forest when the real fact is that there is no decrease in the growth rate of forest in any area.

(f) Here in this case, margin of error (moe) to be liked to be reduced.

Here margin of error (moe) = critical test statistic * (standard deviation of population)/ sqrt(sample size)

moe = Zcritical * ()/ sqrt(n)

n = [Zcritical * () /moe]2 where = 0.1 per year

(g) As i have already defined it.  Type I error means that we will reject the null hypothesis even if it is correct. In this case, the interpretation is that we will accept that the forbidden forest have a decreased growth rate as compared to known growth rate of the rest of the forest when the real fact is that there is no decrease in the growth rate of forbidden forest as compared to any other part of the forest.

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