An Introduction to Statistical Methods and Data Analysis
7th Edition
ISBN: 9781305269477
Author: R. Lyman Ott, Micheal T. Longnecker
Publisher: Cengage Learning
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Chapter 1.6, Problem 3E
In 2014, Congress cut $8.7 billion from the Supplemental Nutrition Assistance Program (SNAP), more commonly referred to as food stamps. The rationale for the decrease is that providing assistance to people will result in the next generation of citizens being more dependent on the government for support. Hoynes (2012) describes a study to evaluate this claim. The study examines 60,782 families over the time period of 1968 to 2009 which is subsequent to the introduction of the Food Stamp Program in 1961. This study examines the impact of a positive and policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood. The study assembled data linking family background in early childhood to adult health and economic outcomes. The study concluded that the Food Stamp Program has effects decades after initial exposure. Specifically, access to food stamps in childhood leads to a significant reduction in the incidence of metabolic syndrome (obesity, high blood pressure, and diabetes) and, for women, an increase in economic self-sufficiency. Overall, the results suggest substantial internal and external benefits of SNAP.
- a. Identify the population that is of interest to the researchers.
- b. Describe the sample.
- c. What characteristics of the population are of interest to the researchers?
- d. If the sample measurements are used to make inferences about the population characteristics, why is a measure of reliability of the inferences important?
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According to the IRS, individuals filing federal income tax returns prior to March 31 received an average refund of $1,074 in 2018. Consider the population of
"last-minute" filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15).
a. A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers.
Develop appropriate hypotheses such that rejection of Ho will support the researcher's contention.
Но: p is
- Select your answer -
Ha:
:µ is
- Select your answer -
b. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience a population
standard
eviation of o = $1,600 may be assumed. What
the p-value (to 4 decimals)?
c. Using a =
0.05, can you conclude that the population mean refund for "last minute" filers is less than the population mean refund for early…
According to the IRS, individuals filing federal income tax returns prior to March 31 received an average refund of $1056 in 2018. Consider the population of “last-minute” filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15).
A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience, a population standard deviation of σ = $1,600 may be assumed.
Test the researcher's assertion using the critical value approach. Use α = 0.05
(Please include all the 7 steps in hypothesis testing)
Steps in hypothesis testing
p-value Approach
Develop the null and alternative hypothesis
Specify the level of significance, α
Choose the test statistic (z or t)
Calculate the test statistic
Use the value of the…
Canton Supplies, Inc., is a service firm that employs approximately 100 people. Because of the necessity of meeting monthly cash obligations, the chief financial officer wants to develop a forecast of monthly cash requirements. Because of a recent change in equipment and operating policy, only the past seven months of data are considered relevant. The change in operations has had a great impact on cash flow. What forecasting model do you recommend?
Chapter 1 Solutions
An Introduction to Statistical Methods and Data Analysis
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