5.In a study of the effects of acid rain, a random sample of 100 trees from a particular forest isexamined.Forty percent of these show some signs of damage.Which of the followingstatements is correct?(a) The sampling distribution of the sample proportion of damaged trees is approximatelyNormal.(b) If we took another random sample of trees, we would find that 40% of these would showsomesigns of damage.(c) If a sample of 1000 trees was examined, the variability of the sampling distribution of thesample proportion would be larger than in a sample of 100 trees.(d) The standard deviation of the sampling distribution of the sample proportion of damagedtreesis100 0.40.6(e) None of the above statements is correct..
6.Which of the following statements is/are true when taking an SRS from a large population?I.The sampling distribution ofxhas standard deviationneven if the population isnot Normally distributed.II.The sampling distribution ofxis Normal if the population has a Normal distribution.III.Whennis large, the sampling distribution ofxis approximately Normal even if thepopulation is not Normally distributed.
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7.Suppose you are sampling from a distribution that is strongly skewed left.Which of thefollowing statements about the sampling distribution of the sample mean is true?
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