Q1. What is the z-score of the following values? x1=2.7 when M(x)=3, SD(x)=0.5 x2=2.8 when M(x)=3,...

Q1. What is the z-score of the following values?

x1=2.7 when M(x)=3, SD(x)=0.5
x2=2.8 when M(x)=3, SD(x)=0.5
x3=3.3 when M(x)=3, SD(x)=0.5
x4=3.8 when M(x)=3, SD(x)=0.5

Q2. What are the percentiles for each z-score above?

x1
x2
x3
x4

Q3. You own a big apple tree farm and wondered how many apples each apple tree have on average.You counted the number of apples per apple tree for 25 trees to estimate the number per apple tree at your farm. You found that the mean number of apples per tree is 50 when the standard deviation is 10. What is 95 % confidence interval of the estimated number of apples per tree of your farm?

Q4. In the same situation with Q3, what is 99% confidence interval?

Q5. What do the answer from Q3 and Q4 mean? What is wider and why?

Expert Solution

Colby Messinger answered 6 months ago

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