For each of the prompts below, decide whether the parameter of interest is a mea
ID: 3357547 • Letter: F
Question
For each of the prompts below, decide whether the parameter of interest is a mean difference (matched-pairs, ) or a difference in means (independent samples, ).
Does it matter where you take your car to get body work done after being in an automobile accident? A random sample of ten cars that needed body work after an accident was obtained. For each car, an estimate for repairs in $ was obtained from two different body shops: Crash-Fix (a national chain) and Joe's-Garage (a local shop). Your goal is determining if, on the average, the estimate ($) for repairs from Crash-Fix is larger than what is found with Joe’s-Garage.
A study wants to determine how millennials best complete a task. A sample of 20 millennials was obtained such that each was randomly assigned to either be in one of two groups. One group worked in "noisy" conditions while the other group worked in "quiet" conditions. Each participant was given a task to complete where the amount of time (in hours) needed to complete the task was recorded.
Explanation / Answer
The matched-pair t-test (or paired t-test or pairedsamples t-test or dependent t-test) is used when the data from the two groups can be presented in pairs, for example where the same people are being measured in before-and-after comparison or when the group is given two different tests at different times.
Hypothesis testing of the differencebetween two population means. This is a two sample z test which is used to determine if two population means are equal or unequal.
Based on above explanation Car case parameter of interest is mean difference.
And for millennial's case parameter of interest is difference in means.
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