Question 3 Subparts d, f , h, i

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 2GP
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Question 3 Subparts d, f , h, i Thank you
(f) Experiment:
Symbol of the sample statistic:
OP-Pa
Ox
O pz -
tz - 120
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 IQ 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.
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Transcribed Image Text:(f) Experiment: Symbol of the sample statistic: OP-Pa Ox O pz - tz - 120 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 IQ 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 Submit Question
A psychologist who needs two groups of students for a learning experiment decides to select a random
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:
Họ: The population mean
o IQ score for female students is equal to
the
population mean
O 1Q score for male students.
Symbols: OPz žO50 pO IO pO µO µj.
OP- P2
Ha: The population mean
IQ score for female students is not equal to
O the
population mean
1Q score for male students.
(b) The correct symbol for the mean of the sampling distribution is:
I2
P1 P2
(c) The value for the mean of the sampling distribution is: -2.8
(d) Choose the correct distribution:
Normal Distribution
OChi-Square Distribution
OT-Distribution
Transcribed Image Text:A psychologist who needs two groups of students for a learning experiment decides to select a random 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: Họ: The population mean o IQ score for female students is equal to the population mean O 1Q score for male students. Symbols: OPz žO50 pO IO pO µO µj. OP- P2 Ha: The population mean IQ score for female students is not equal to O the population mean 1Q score for male students. (b) The correct symbol for the mean of the sampling distribution is: I2 P1 P2 (c) The value for the mean of the sampling distribution is: -2.8 (d) Choose the correct distribution: Normal Distribution OChi-Square Distribution OT-Distribution
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