Worksheet 37: Introduction to the t Test Riddle: According to Helen Rowland, why

Question

Worksheet 37: Introduction to the t Test Riddle: According to Helen Rowland, why does a bachelor get tangled up with a lot of women? DIRECTIONS: To find the answer to the riddle, write the answer to each question in the space immediately below it. The word in parenthescs in the solution section next to the answer to the first question is the first word in the answer to the riddle, the word beside the answer to the second question is the second word, and so on. 1. Is a study in which treatments are given in order to observe for efflects called a "survey" or an "experiment"7 2. "Two sample means can be obtained only from experiments." Is this statement true or false? 3. "The larger the difference between two means, the less likely that the difference was created by sampling errors." Is this statement true or false? 4. Other things being equal, will large samples or small samples be more likely to lead to rejection of the null hypothesis? 5. Other things being equal, will samples with little variance or samples with much variance be more likely to lead to rejection of the null hypothesis? 225

Explanation / Answer

1)

We know that survey just collects information

and experiment usually involves a treatment

Hence , this is an experiment

2)

False , not necessary. We can obtained 2 samples from from 2 independent groups simly by observing values.
Eg :

ask age of 10th class students from 2 different schools to compare mean age

6)

Independent data : when the samples are not repeated across the 2 groups and selection of 1 froup sample is independent of the other group

Dependent data : when the samples are repeated between the 2 groups, this usually involves a treatment in a post-pre treatment setup.

4) yes , when we have large samples then the p values are usually very low . so for large samples we should calculate the effect size to arrive at the proper conclusion , suc as cohen's d. In terms of something like Cohen's d, it takes an effect size of about 0.006 to need N's that large to be found.

Please note that we can answer only 1 question at a time , as per the answering guidelines. I have answered 4

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