Looking back on love How do young adults look back on adolescent romance? investigators interviewed couples in their mid-twenties. The female and male partners were interviewed separately. Each was asked about his or her current relationship and also about a romantic relationship that lasted at least two months when they were aged 15or16 . One response variable was a measure on a numerical scale of how much the attractiveness of the adolescent partner mattered. You want to compare the men and women on this measure.

Short Answer

Expert verified

The appropriate procedure is Two sample t-test.

Step by step solution

01

Given Information

40 couples in their twenties were interviewed by experts. Separately, the female and male accomplices were met. Each was given information about their current relationship as well as a previous romantic relationship that lasted at least two months when they were 15or16 years old. One reaction variable was a numerical scale that indicated how much the young adult accomplice's attraction mattered. On this scale, you must examine both males and women.

02

Explanation

When the sample size is small, an independent two-sample test is used to see if the mean difference between two sets of observations is equal to, higher than, or lower than 0. Two separate groups of women and men were tested in this test method to see how they behaved.

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Most popular questions from this chapter

Preventing drowning Drowning in bathtubs is a major cause of death in children less than 5 years old. A random sample of parents was asked many questions related to bathtub safety. Overall, 85% of the sample said they used baby bathtubs for infants. Estimate the percent of all parents of young children who use baby bathtubs.

Do drivers reduce excessive speed when they encounter police radar? Researchers studied the behavior of a sample of drivers on a rural interstate highway in Maryland where the speed limit was 55miles per hour. They measured the speed with an electronic device hidden in the pavement and, to eliminate large trucks, considered only vehicles less than 20feet long. During some time periods (determined at random), police radar was set up at the measurement location. Here are some of the data.

Number of vehiclesNumber over65mphNo radar12,9315,690Radar3,2851,051

(a) The researchers chose a rural highway so that cars would be separated rather than in clusters because some cars might slow when they see other cars slowing. Explain why this is important.

(b) Does the proportion of speeding drivers differ significantly when the radar is being used and when it isn’t? Use information from the Minitab computer output below to support your answer.

Refer to Exercise16.

(a) Carry out a significance test at the α=0.05level.

(b) Construct and interpret a 95%confidence interval for the difference between the population proportions. Explain how the confidence interval is consistent with the results of the test in part (a).

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(a) Both populations are Normally distributed.

(b) The data come from two independent samples.

(c) Both samples were chosen at random.

(d) The counts of successes and failures are large enough to use Normal calculations.

(e) Both populations are at least 10 times the corresponding sample sizes

Coaching and SAT scores (10.2) What we really want to know is whether coached students improve more than uncoached students and whether any advantage is large enough to be worth paying for. Use the information above to answer these questions:

(a) Is there good evidence that coached students gained more on average than uncoached students? Carry out a significance test to answer this question.

(b) How much more do coach students gain on the average? Construct and interpret a 99% confidence interval.

(c) Based on your work, what is your opinion: do you think coaching courses are worth paying for?

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