Question

1) A study of 150 apple trees showed that the average number of apples per tree was 2000. The standard deviation of the population is 100. Which of the following is the 80% confidence interval for the mean number of apples for all trees?

a) (1986.6, 2013.4) b) (1988.5, 2011.5) c) (1989.5, 2010.5) d) (1993.1, 2006.9)

2) If a population has a standard deviation of 16, what is the minimum number of samples that need to be averaged in order to be 95% confident that the average of the means is within 4 of the true mean?

a) 62 b)16 c)8 d)122

3) A recent study of 750 internet users in Europe found that 35%
of internet users were women. What is the 95% confidence interval
of the true proportion of women in Europe who use the internet?
_{a)} b) c) d)

4) If p^ is equal to 0.82, then q^ is equal to

a) 0.35 b)0.18 c)0.50 d)0.82

5) For the conjecture "The average rent of an apartment is more than or equal to $950 per month", the alternative hypothesis is:

a) The average rent of an apartment is less than $950 per month b)The average rent of an apartment is greater than $950 per month c) We do not reject the hypothesis that the average rent of an apartment is more than $950 per month d) We reject the hypothesis that the average rent of an apartment is more than $950 per month

Answer #1

A study of peach trees showed that the average number of peaches
per tree was 2000. The standard deviation of the population is 200.
A scientist wishes to find the 99% confidence interval for the mean
number of peaches per tree. How many trees does she need to sample
to be accurate within 16 peaches per tree?

An apple orchard has an average yield of 32 bushels of apples
per tree if tree density is 26 trees per acre. For each unit
increase in tree density, the yield decreases by 2 bushels per
tree. How many trees per acre should be planted to maximize yield?
Hint – first convince yourself that the function for yield is given
by where is the number of trees per acre
above or below 26.
Write your final answer in a sentence
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A study carried out by Nielsen/ Net Ratings in the last August
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