Question 1
Solve the problem.
Suppose you know that the distribution of sample proportions of the residents of one town over 70 years old in samples of 120 residents is normal with a mean of 0.12 and a standard deviation of 0.04. You select a sample of 120 residents and find that the proportion of residents over 70 is 0.02. What is the probability that a second sample would be selected with a proportion greater than 0.02?
◦ 0.9938
◦ 0.9953
◦ 0.0062
◦ 0.0047
Question 2
Solve the problem.
The weights of five players on a football team are shown below.
Consider these five players to be a population. Construct a table which shows all of the possible samples of size two which can be selected without replacement. For each of the possible samples, list the players in the sample, their weights, and the sample mean
of the weights. The first line of the table is shown below.
Use your table to find the mean of the sample means. Is this mean equal to the mean of the five given weights in the population?
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