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The Amount Filled by a Certain Bottling Machine,x,is Approximately Normally

Question 47
Multiple Choice

The amount filled by a certain bottling machine,X,is approximately normally distributed with unknown mean,μ,and standard deviation,σ =1.What is the minimum sample size,n,so that there is a probability of (at least)0.9 that the sample mean will be within 0.2 ounces of the population mean? A)16 B)28 C)54 D)68 E)125

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Q 48
Some experts estimate that the length of time people live in a house has a mean of 7.3 years and a standard deviation of 2.2 years.Explain why you could estimate the probability that 100 people selected at random had lived in their houses for an average of 9 years or more,but you could not estimate the probability that an individual had done so.
Q 49
Some experts claim that the length of time people live in a house can be described by a Normal distribution with a mean of 7.2 years and a standard deviation of 2.4 years.Suppose you calculate the percentage of homeowners who stay in their house for more than 9 years and the probability that the mean length of time for a sample of 100 homeowners is more than 9 years.If the correct model for the length of time people live in a home is in fact skewed to the right,does that change your answer to either calculation? Explain.
Q 50
A zoo offers several levels of membership,as shown in the table. If we select a random sample of 50 zoo members,would you expect their membership charges to follow a Normal model? Explain.
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