Behavioral Statistics

 

Homework #3 - One-Sample t-tests 

For each problem, Download the data from the Problem Description (see below).  Calculate all appropriate descriptive statistics and test the hypothesis with the appropriate level of significance (i.e., 10%, 5%, or 1%).  Make sure you complete an APA-Style write up of your results for each problem.  APA-style examples are located here.

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Problem Description 1

As part of the recruiting process, the human resources department of a national marketing firm has administered an aptitude test to 100 job applicants.  The test marks    can be accessed below.  Unfortunately, the manager believes that the typical (i.e., average applicant) is not what he or she once was (compared to past applicant pools).  In the past, the mean (µ) was 88.5.  With this set of data, is her belief justified.  Use an alpha level of .01 (1%) to test her hypothesis.

Problem Description 2

A diet doctor claims that the average North American is more than 20 pounds overweight. To test his claim, a random sample of 100 North Americans was weighed, and the difference between their actual weight and their ideal weight was calculated. The data are stored in file   . Do these data allow us to infer at the 5% significance level that the doctor’s claim is true?

Problem Description 3

In a large corporation, the mean salary for all females with 3 to 5 years experience was $22,000.  Salaries for a random sample of 40 men also having 3 to 5 years of experience is located here.  Is there any evidence of different salary levels for males and females?  The data are here .

Problem Description 4

Using the Attention Deficit Disorder dataset , test the null hypothesis that IQ scores µfemale = 100.  Do the same for the males in the sample (i.e., µmale = 100). Drawn conclusions for both using an APA-style write up of your results.  Then test the null hypotheses that, for GPAs,  µfemale = 2.25 and µmale = 2.25.  For all analyses, use an alpha level (α) of .05.

Problem Description 5

One of the dependent variables in a study on the effects of low birth weight on infant development was the Psychomotor Development Index of the Bayley Scales of Infant Development .  These scales have been normed and thus the population mean (µ) is available.  In this case, the mean in the population is 100.  Using an alpha level of .01, can we conclude that low birth weight infants score significantly lower on this test of psychomotor development?
 


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© 2008, David M. Compton, Ph.D.