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Four research participants take a test of manual dexterity (high scores mean better dexterity) and an anxiety test (high scores mean more anxiety). The scores are as follows.
Person Dexterity Anxiety1 1 102 1 83 2 44 4 -2
(a) Make a scatter diagram of the scores; (b) describe in words the general pattern of correlation, if any (c) figure the correlation coefficient; (d) figure whether the correlation is statistically significant (use the .05 significance level, two-tailed); (e) explain the logic of what you have done, writing as if you are speaking to someone who has never heard of correlation (but who does understand the mean, deviation scores, and hypothesis testing); and (f) give three logically possible directions of causality, indicating for each direction whether it is a reasonable explanation for the correlation in light of the variables involved(and why).
Here is a scatterplot of average crawling age versus average outdoor temperature six months after birth followed by a plot of the residuals versus average outdoor temperature six months after birth.
The perimeter of a rectangular painting is 344cm; if the width of the painting is 73 cm, what is the length?
A sample of 46 bars is taken and their mean length is determined to be 51 centimeters with a standard deviation of 3.6 centimeters. Using a .01 significance level, test the retailers claim that the population mean is less than 50 centimeters.
Prepare an ANOVA table and test the null hypothesis of no linear relationship between the two variables.
A unit for a telecommmunication system is to be designed so that the probability that it fails during a period of five years does not exceed 0.4. the unit is to be made up of (n) effectively identical componants each with an exponential failure di..
A hypothesis states a difference exists between two populations. Sometimes this is an obvious conclusion because the means will be very different.
Do you think that all random samples taken from the same population will lead to the same result?
People in a large population average 60 inches tall. You take a random sample and will be given a dollar for each person in your sample who is over 65 inches tall.
Suppose a new weight loss program was sponsored by the local health and fitness club in a small town. The program claims to make people lose more than five pounds in a month. Twelve participants were selected and their weights were recorded.
You are Supervisor or Research for Doggie Heaven Biscuit Company. Your scientists have developed a new dog biscuit for the treatment of doggie breath.
What assumption must you make about the population distribution in order to construct the confidence interval estimate in (a)?
To speed up the process in a blood testing procedure, blood samples from 3 people are combined into one mixture. The mixture will only test negative if all the individual samples are negative.
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