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Question 4 7 pts From the 2021 Whoville Census, it is known that there are over 87,000 Who households, and that the distribution of marbles
Question 4 7 pts From the 2021 Whoville Census, it is known that there are over 87,000 Who households, and that the distribution of marbles in Who households is approximately normally distributed with a mean of 13.6 lbs of marbles per household, and a standard deviation of 3.82 lbs. (a) (4 pts) Cindy Lou Who surveys a simple random sample of 200 Who households, and weighs the marbles in each one. What is the probability that the sample mean weight will be more than 14 lbs? (b) (3 pts) As it turns out, the sample mean of CLW's survey was 12.9 lbs. What conclusions, if any, might CLW draw from this statistic? Explain your reasoning as precisely as possible. For full (or any) credit, Show your work and explain your reasoning. Edit View Insert Format Tools Table 12pt v Paragraph v B I U A v g v T2 v
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