Chapter 7: Problem 5
Ten homes are randomly selected and all adult occupants are surveyed.
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Chapter 7: Problem 5
Ten homes are randomly selected and all adult occupants are surveyed.
These are the key concepts you need to understand to accurately answer the question.
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A population consists of \(N=5\) items-two of which are considered "successes" \(\left(S,\right.\) and \(\left.S_{2}\right)\) and three of which are considered "failures" \(\left(F_{1}, F_{2},\right.\) and \(\left.F_{3}\right) .\) A random sample of \(n=2\) items is selected, without replacement. Use this information to answer the questions. For each of the samples in Exercise \(10,\) find the proportion of successes in the sample.
The amount of potassium in food varies, but bananas are often associated with high potassium, with approximately \(422 \mathrm{mg}\) in a medium-sized banana. \({ }^{8}\) Suppose the distribution of potassium in a banana is normally distributed, with mean equal to \(422 \mathrm{mg}\) and standard deviation equal to \(13 \mathrm{mg}\) per banana. You eat \(n=3\) bananas per day, and \(T\) is the total number of milligrams of potassium you receive from them. a. Find the mean and standard deviation of \(T\). b. Find the probability that your total daily intake of potassium from the three bananas will exceed \(1300 \mathrm{mg}\).
Random samples of size \(n\) were selected from a nonnormal population with the means and variances. What can be said about the sampling distribution of the sample mean? Find the mean and standard error for this distribution. $$ n=10, \mu=15, \sigma^{2}=4 $$
Calculate SE \((\hat{p})\) for \(n=100\) and the values of p given in Exercises \(16-22 .\) $$p=.50$$
A random sample of public opinion in a small town was obtained by selecting every 10 th person who passed by the busiest corner in the downtown area. Will this sample have the characteristics of a random sample selected from the town's citizens? Explain.
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