A psychologist who needs two groups of students for a learning experiment decides to select a randorn sample of 103 female college students and 82 male college students. Before the experiment, the psychologist administers an IQ test to both groups to determine if there is a significant difference in their mean IQ scores. The population standard deviation for this IQ test is know to be 10 for both female and male populations. If the sample mean IQ score of the 103 female students is 117.7 and the sample mean IQ Score for the 82 male students is 120.5, can the psychologist conclude that there is a significant difference in the mean IQ score of both groups at a = 5%? Let population 1 be female students and population 2 be male students. Note that direction is not specified in this problem, and the population standard deviation is given. See Chapter 13. (a) State the hypotheses: the IQ score for female students Select an answer Ho: The Select an answer Select an answer IQ score for male students. Symbols: O uz,-,0 ;0 pOO p0 µ0 H,-0 Pi P2O -H20 H? V 1Q score for female students [Select an answer the H.: The Select an answer Select an answer |IQ score for male students. Symbols: O pO uO-0O P- P2O 0 H-0HOH,-OPl (b) The correct symbol for the mean of the sampling distribution is: O Hp Or OP Ox Op OPi- P2 (c) The value for the mean of the sampling distribution is:
A psychologist who needs two groups of students for a learning experiment decides to select a randorn sample of 103 female college students and 82 male college students. Before the experiment, the psychologist administers an IQ test to both groups to determine if there is a significant difference in their mean IQ scores. The population standard deviation for this IQ test is know to be 10 for both female and male populations. If the sample mean IQ score of the 103 female students is 117.7 and the sample mean IQ Score for the 82 male students is 120.5, can the psychologist conclude that there is a significant difference in the mean IQ score of both groups at a = 5%? Let population 1 be female students and population 2 be male students. Note that direction is not specified in this problem, and the population standard deviation is given. See Chapter 13. (a) State the hypotheses: the IQ score for female students Select an answer Ho: The Select an answer Select an answer IQ score for male students. Symbols: O uz,-,0 ;0 pOO p0 µ0 H,-0 Pi P2O -H20 H? V 1Q score for female students [Select an answer the H.: The Select an answer Select an answer |IQ score for male students. Symbols: O pO uO-0O P- P2O 0 H-0HOH,-OPl (b) The correct symbol for the mean of the sampling distribution is: O Hp Or OP Ox Op OPi- P2 (c) The value for the mean of the sampling distribution is:
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:(e) State the decision rule:
% if the p-value of the Select an answer
Select an answer
V at a =5
is Select an answer
(f) Experiment:
Symbol of the sample statistic:
OPi - P2
Ox
O Pi
Op
Op
Op
Value of the sample statistic rounded to 1 decimal place:
P-value of the sample statistic rounded to 4 decimal places:
(g) Conclusion: Select an answer
V at a = 5
(h) Answer the question: Can the psychologist conclude that there is a significant difference in the mean
IQ score of both groups?
O Yes, because the p-value is less than alpha.
O No, because the p-value is less than alpha.
O No, because the p-value is greater than alpha.
O Yes, because the p-value is greater than alpha.
(i) Error: What type of error could have been made in this test, and what does it mean?
O Type 1- there is a significant difference in the population mean IQ scores for female students and
male students, but we incorrectly rejected the null hypothesis.
O Type 2- there is a significant difference in the population mean 1Q scores for female students and
male students, but we incorrectly failed to reject the null hypothesis.
O Type 2- there is no difference in the population mean IQ scores for female students and male
students, but we incorrectly failed to reject the null hypothesis.
O Type 1- there is no difference in the population mean IQ scores for female students and male
students, but we incorrectly rejected the null hypothesis.
Question Help: Message instructor
Transcribed Image Text:A psychologist who needs two groups of students for a learming experiment decides to select a randorn
sample of 103 female college students and 82 male college students. Before the experiment, the
psychologist administers an IQ test to both groups to determine if there is a significant difference in their
mean IQ scores. The population standard deviation for this IQ test is know to be 10 for both female and
male populations. If the sample mean IQ score of the 103 female students is 117.7 and the sample mean IQ
Score for the 82 male students is 120.5, can the psychologist conclude that there is a significant difference
in the mean IQ score of both groups at a = 5%? Let population 1 be female students and population 2 be
male students.
Note that direction is not specified in this problem, and the population standard deviation is given. See
Chapter 13.
(a) State the hypotheses:
the
v IQ score for female students Select an answer
Ho: The Select an answer
Select an answer
v IQ score for male students.
Symbols: O Hz,-z,0 HO pO 10 pO µ0, -O P1 - P20 - 420 4z (? V
the
v IQ score for female students Select an answer
H: The Select an answer
Select an answer
v IQ score for male students.
Symbols: O pO u0 -200 P - P2O HO Hi-i,0O ,-O P
(b) The correct symbol for the mean of the sampling distribution is:
O pz,-12
Or
O p
Ox
Op
O Hp, - Pa
OPI - P2
O pz
(c) The value for the mean of the sampling distribution is:
(d) Choose the correct distribution:
O Normal Distribution
O Chi-Square Distribution
OT-Distribution
Why?
OWe are orovided with o for the twO DODulations.
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