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Salient roles of older adults. In Psychology and Aging (December 2000), University of Michigan School of Public Health researchers studied the roles that older adults feel are the most important to them in late life. The accompanying table summarizes the most salient roles identified by each in a national sample of 1,102 adults, 65 years or older.
MOST SALIENT ROLE
NUMBER
Spouse
424
Parent
269
Grandparent
148
Other relative
59
Friend
73
Homemaker
Provider
34
Volunteer, club, church member
36
Total
1,102
(a) Describe the qualitative variable summarized in the table. Give the categories associated with the variable.
(b) Are the numbers in the table frequencies or relative frequencies?
(c) Display the information in the table in a bar graph.
(d) Which role is identified by the highest percentage of older adults? Interpret the relative frequency associated with this role.
Find the probability that in a given year a) exactly one major hurricane will strike the U.S. mainland, b) at most one major hurricane will strike the U.S. mainland.
Confidence intervals and sample size, part 2. A confidence interval for the price of gasoline from a random sample of 30 gas stations in a region gives the following statistics:
(i) Formulate the null and alternative hypothesis to Fruitco's management question. (ii) Conduct a hypothesis test for a single proportion at the 1% level of significance. (iii) What recommendation would you make to the Fruitco management? Justify.
Based on a simple random sample of one hundred an analyst estimates the average hourly wage earned by workers in a city to be $30 and computes the margin of error to be $5.
Suppose that a company claims that their mean weekly sales are $12,250. A random sample 35 weeks yields a sample mean of with a sample standard deviation of s=$1250.
A representative of the Environmental Protection Agency (EPA) wants to select samples from 10 landfills. The director has 15 landfills from which she can collect samples. How many different samples are possible?
Is the dependent variable discrete or continuous? interval, or ratio) is used to measure the dependent variable?
Customers arrive according to a Poisson process with rate λ = 5 per hour in a system with two servers. The probability that an arbitrary customer goes to server no. 1 (respectively, no. 2) is equal to 3/4 (resp., 1/4).
Suppose that the parts supplier's hypothesis test is based on a sample of n = 100 diameters and that σ equals .023. If the parts supplier sets α = .05, calculate the probability of a Type II error for each of the following alternative values of µ:..
Your answers must be presented in task number order and be clearly labelled with the appropriate task number. Answers to each task must start on a new page.
a random sample of 83 investment portfolios managed by kendra showed that 62 of them met the targeted annual percent
Let N(t) be the number of telephone calls to an emergency number in the interval [0,t]. We suppose that {N(t),t ≥ 0} is a Poisson process with rate λ = 50 per hour
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