Question

In: Statistics and Probability

Abbie wants to determine whether handedness affects scores on the Picture Arrangement subtest of the WAIS...

Abbie wants to determine whether handedness affects scores on the Picture Arrangement subtest of the WAIS III, as this test is suggested to tap right-brain processing powers.  Abbie gives the test to a group of right-handers and a group of left-handers; their scores are below:

Left-handed:  12, 10, 12, 14, 12, 10, 8                Right-handed: 8, 10, 10, 12, 11, 6, 7, 5, 9, 8

Test Abbie’s hypothesis that left-handed participants have superior Picture Arrangement scores compared to right-handers; with an alpha of .01.

a. State the H0 and H1 hypotheses, in statistical notation, and identify the critical t value(s).

b. Calculate standard error and the observed t-statistic.  What is your decision regarding the null hypothesis?  Why?

c. State your results in nonstatistical terms.

Solutions

Expert Solution

Let denote the mean superior Picture Arrangement scores for left handed and right handed people respectively.

Conclusion in context of problem :

There is not sufficient evidence to support the claim that handedness affects scores on the Picture Arrangement subtest of the WAIS III.


Related Solutions

The distribution of scores on the Waichsler Adult Intelligence Scale (WAIS) for persons over 16 years...
The distribution of scores on the Waichsler Adult Intelligence Scale (WAIS) for persons over 16 years of age is approximately normal with mean 100 and standard deviation 15. A) What is the probability that a randomly chosen individual has a WAIS score of 105 or higher? B) What is the probability that the average WAIS score of an SRS of 50 people is 105 or higher? C) Would your answers to either (A) or (B) be affected if the distribution...
Picture Arrangement Scores Left-Handed: 12, 10, 12, 14, 12, 10, 8.13,7 Right-Handed: 8, 10, 10, 12,...
Picture Arrangement Scores Left-Handed: 12, 10, 12, 14, 12, 10, 8.13,7 Right-Handed: 8, 10, 10, 12, 11, 6, 7,9,11    •   Is there a significant difference in the Picture Arrangement scores between the right- and left-handed students? Use α = .05 in making your decision. Be sure to state your hypotheses in symbols and use subscripts to denote each group e.g., and to represent the true population mean Picture Arrangement score for right- and left-handed students, respectively. Include the following...
We want to know whether an independent variable (room temperature) affects scores on a dependent variable...
We want to know whether an independent variable (room temperature) affects scores on a dependent variable (ratings of anger). The levels of the IV are hot and cold and the DV is measured on an anger scale (ranging from 0 no anger to 10 high anger). A random sample of subjects has been taken from the universe. Half of the subjects are randomly placed in the hot room while the other half are placed in the cold room. The samples...
a) A psychologist is interested in whether or not handedness is related to gender. Specifically, she...
a) A psychologist is interested in whether or not handedness is related to gender. Specifically, she wants to know if the percentage left-handed men in the population is different from the percentage of left-handed women. She collected data on handedness for 200 men and 200 women. What type of statistical test would be appropriate? options: a) Chi-square goodness of fit test b) Independent samples t-test c) Paired t-test d) Chi-square test of independence b) Nima investigated the relationship between optimism...
"Correlation/Regression QA" A professor wants to determine the relationship between Middleterm Scores (X) and Final Scores...
"Correlation/Regression QA" A professor wants to determine the relationship between Middleterm Scores (X) and Final Scores (Y). The professor correlates the MiddleTerm Scores (X) with the Final Scores (Y) for all of his students. The data are presented below. MiddleTerm Scores: 92, 91, 90, 89, 88, 87, 86, 85, 83, 81, 80, 80 Final Scores: 88, 87, 84, 84, 76, 75, 73, 72, 73, 74, 68, 82 16)What is the relationship between MiddleTerm Scores and Final Scores (Round to two...
Scores on the Wechsler Adult Intelligence Scale- Third Edition (WAIS-III) are nationally standardized to be normally...
Scores on the Wechsler Adult Intelligence Scale- Third Edition (WAIS-III) are nationally standardized to be normally distributed with a mean of 100 and standard deviation of 15. A psychologist has a dataset containing the WAIS-III scores from a random sample of 50 adults who are members of a specific organization. They want to know if there is evidence that the mean WAIS-III score in the population of all members of this organization is greater than the known national mean of...
For the following z scores, determine whether the tail is on the right or left side...
For the following z scores, determine whether the tail is on the right or left side of the line and find the proportion in the tail. a. z = 2.00 b. z = 0.60 c. z = –1.30 d. z = –0.30
An engineer wants to determine how the weight of a? car, x, affects gas? mileage, y....
An engineer wants to determine how the weight of a? car, x, affects gas? mileage, y. The following data represent the weights of various cars and their miles per gallon. Car A B C D E Weight? (pounds), x 25452545 31003100 34103410 37703770 40404040 Miles per? Gallon, y 25.225.2 23.923.9 19.619.6 18.518.5 14.314.3 ?(a) Find the? least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable. Write the equation for the? least-squares regression...
An engineer wants to determine how the weight of a​ car, x, affects gas​ mileage, y....
An engineer wants to determine how the weight of a​ car, x, affects gas​ mileage, y. The following data represent the weights of various cars and their miles per gallon. Car   Weight (pounds), x   Miles per Gallon, y A   2695   26.7 B   2975   23.6 C   3260   24.9 D   3760   23.1 E   4225   20.4 a) Find the​ least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable. Write the equation for the​ least-squares regression...
Suppose you want to determine whether the brand of laundry detergent used and the temperature affects...
Suppose you want to determine whether the brand of laundry detergent used and the temperature affects the amount of dirt removed from your laundry. To this end, you buy two different brand of detergent ( Super and Best) and choose three different temperature levels (cold, warm, and hot). Then you divide your laundry randomly into 6r piles of equal size and assign each r=4 piles into the combination of (Super and Best) and (cold,warm, and hot). super best cold 4,5,6,5...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT