Thirty couples applying for marriage licenses are asked to give their ages. The researcher wants to know if husbands tend to be older than wives. True or False: This scenario could be analyzed using a matched pairs procedure.
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In this case, each couple consists of a husband and a wife, which creates a natural pairing of ages. Show more…
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The following table gives the ages of the husband and wife of a simple random sample of couples that have obtained a marriage licenses in Cumberland County, Pennsylvania in 1993. Conduct an appropriate test of significance (at the 5% level) to determine if there is evidence to support the claim that husbands are (on average) older than their wives.
Madhur L.
The US Census Bureau publishes information on the ages of married people in a report. Assume that we want to decide whether, in the US, the mean age of married men differs from the mean age of married women. Suppose that 10 married heterosexual couples in the US are selected at random and that the ages, in years, of the people chosen are following: Couple | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- Husband | 59 | 21 | 33 | 78 | 70 | 33 | 68 | 32 | 54 | 52 Wife | 53 | 22 | 36 | 74 | 64 | 35 | 67 | 28 | 41 | 44 (You can download the data from hw4_2.xlsx) (a) Define all the parameters and random variables you need in the context of the question. (b) To answer the question, what kind of a statistical test will be the most appropriate? Explain. (c) Check the assumption you need. (d) Based on your previous answer, conduct a statistical test under significance level 0.05. • Set statistical hypotheses • Conduct statistical test using a corresponding confidence interval(or bound) • Make a conclusion • Interpret your conclusion in the context of the question.
Jon S.
Are husbands, on average, older than their wives? A random sample of 30 married couples was taken to find the age difference, husband's age minus wife's age, at the date of marriage. The differences are listed below. Test to see if, when getting married, the husband is older than the wife on average. Marriage Age Difference Husband-Wife: The age differences are assumed to be normally distributed. Use a significance level of 5%. A. State the alternative hypothesis: HA: μd ≠ 0 μd < 0 μd > 0 B. State the mean of the sample: C. State the standard error of the sample means: D. State the test statistic: t = E. State the p-value: F. Decision: Fail to reject the null hypothesis. Reject the null hypothesis.
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