Question 3 Here is the question to be investigated for the two groups in your chosen categorical variable. Do the population of IAT participants in one group score higher on the IAT test than the population of IAT participants in the other group To answer the question we are investigating, respond to each of the following 1.Use StatCrunch to determine the sample size and sample mean,, for the two groups in your chosen categorical variable (directions). Copy your StatCrunch output table and paste it into your response. Then relabel the categorical variable groups with the appropriate word(s), i.e. replace the group numbers with the appropriate word(s) to describe the group (see the Categorical Variable section above for your data set). Which of the two groups has the smallest sample mean? Which has the largest sample mean? 2. Let be the population mean for the group with the largest sample mean. Let be the population mean for the group with the smallest sample mean. State the null and alternative hypotheses (symbolically and in words). Include a clear description of the populations and the variable. 3. To test your hypotheses, is it appropriate to use the two-sample T-test? If so, explain why and provide any supporting evidence. If not, start over and choose the other categorical variable listed with your chosen IAT data set. WARNING: If it is not appropriate to use the two-sample T-test for either of the categorical variables listed with your IAT data set, something may be wrong. Stop and contact me as soon as possible. Proceed only if it is appropriate to use the two-sample T-test. 4. Use StatCrunch to carry out the test (directions). Copy the content in the StatCrunch output window (text and the table) and paste it into the textbox as your response to this item. 5. Use a 5% significance level to state a conclusion. Be sure to state your conclusion in context and in terms of what a "more positive score" on the IAT means for your data set. (Hint: in the variables section above, click on the variable descriptions link for your data set. The variable descriptions page opens in a new window. Review the Interpreting the IAT section at the top of that page.) Categorical Variable: Birth-Gender: 1-Male; 2-Female Summary statistics for Sample(IAT-Weight-Score): Group by: Sample(Birth-Gender) 1 2 Sample(Birth-Gender) n Mean 207 0.51955101 593 0.43747605 Two sample T hypothesis test: H₁: Mean of Sample(IAT-Weight-Score) H2: Mean of Sample (Birth-Gender) H₁₂ Difference between two means Họ : M - Hz = 0 HA: H₁₂0 (without pooled variances) Hypothesis test results: Difference H₁-H₂ Sample Diff. Std. Err. DF T-Stat P-value -1.2825371 0.021579035 1596.4645 -59.434403 <0.0001

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Question 3
Here is the question to be investigated for the two groups in your chosen categorical variable.
Do the population of IAT participants in one group score higher on the IAT test than the population of IAT participants
in the other group
To answer the question we are investigating, respond to each of the following
1.Use StatCrunch to determine the sample size and sample mean,, for the two groups in your chosen categorical variable
(directions).
Copy your StatCrunch output table and paste it into your response. Then relabel the categorical
variable groups with the appropriate word(s), i.e. replace the group numbers with the appropriate
word(s) to describe the group (see the Categorical Variable section above for your data set).
Which of the two groups has the smallest sample mean? Which has the largest
sample mean?
2. Let be the population mean for the group with the largest sample mean. Let be the population mean for the group with the
smallest sample mean. State the null and alternative hypotheses (symbolically and in words). Include a clear description of the
populations and the variable.
3. To test your hypotheses, is it appropriate to use the two-sample T-test? If so, explain why and provide any supporting
evidence. If not, start over and choose the other categorical variable listed with your chosen IAT data set.
WARNING: If it is not appropriate to use the two-sample T-test for either of the
categorical variables listed with your IAT data set, something may be wrong. Stop
and contact me as soon as possible.
Proceed only if it is appropriate to use the two-sample T-test.
4. Use StatCrunch to carry out the test (directions).
Copy the content in the StatCrunch output window (text and the table) and paste it into the textbox as your response to this item.
5. Use a 5% significance level to state a conclusion. Be sure to state your conclusion in context and in terms of what a "more
positive score" on the IAT means for your data set. (Hint: in the variables section above, click on the variable descriptions link
for your data set. The variable descriptions page opens in a new window. Review the Interpreting the IAT section at the top of
that page.)
Categorical Variable:
Birth-Gender: 1-Male; 2-Female
Summary statistics for Sample(IAT-Weight-Score):
Group by: Sample(Birth-Gender)
1
2
Sample(Birth-Gender)
n
Mean
207
0.51955101
593
0.43747605
Two sample T hypothesis test:
H₁: Mean of Sample(IAT-Weight-Score)
H2: Mean of Sample (Birth-Gender)
H₁₂ Difference between two means
Họ : M - Hz = 0
HA: H₁₂0
(without pooled variances)
Hypothesis test results:
Difference
H₁-H₂
Sample Diff.
Std. Err.
DF
T-Stat
P-value
-1.2825371
0.021579035
1596.4645
-59.434403
<0.0001
Transcribed Image Text:Question 3 Here is the question to be investigated for the two groups in your chosen categorical variable. Do the population of IAT participants in one group score higher on the IAT test than the population of IAT participants in the other group To answer the question we are investigating, respond to each of the following 1.Use StatCrunch to determine the sample size and sample mean,, for the two groups in your chosen categorical variable (directions). Copy your StatCrunch output table and paste it into your response. Then relabel the categorical variable groups with the appropriate word(s), i.e. replace the group numbers with the appropriate word(s) to describe the group (see the Categorical Variable section above for your data set). Which of the two groups has the smallest sample mean? Which has the largest sample mean? 2. Let be the population mean for the group with the largest sample mean. Let be the population mean for the group with the smallest sample mean. State the null and alternative hypotheses (symbolically and in words). Include a clear description of the populations and the variable. 3. To test your hypotheses, is it appropriate to use the two-sample T-test? If so, explain why and provide any supporting evidence. If not, start over and choose the other categorical variable listed with your chosen IAT data set. WARNING: If it is not appropriate to use the two-sample T-test for either of the categorical variables listed with your IAT data set, something may be wrong. Stop and contact me as soon as possible. Proceed only if it is appropriate to use the two-sample T-test. 4. Use StatCrunch to carry out the test (directions). Copy the content in the StatCrunch output window (text and the table) and paste it into the textbox as your response to this item. 5. Use a 5% significance level to state a conclusion. Be sure to state your conclusion in context and in terms of what a "more positive score" on the IAT means for your data set. (Hint: in the variables section above, click on the variable descriptions link for your data set. The variable descriptions page opens in a new window. Review the Interpreting the IAT section at the top of that page.) Categorical Variable: Birth-Gender: 1-Male; 2-Female Summary statistics for Sample(IAT-Weight-Score): Group by: Sample(Birth-Gender) 1 2 Sample(Birth-Gender) n Mean 207 0.51955101 593 0.43747605 Two sample T hypothesis test: H₁: Mean of Sample(IAT-Weight-Score) H2: Mean of Sample (Birth-Gender) H₁₂ Difference between two means Họ : M - Hz = 0 HA: H₁₂0 (without pooled variances) Hypothesis test results: Difference H₁-H₂ Sample Diff. Std. Err. DF T-Stat P-value -1.2825371 0.021579035 1596.4645 -59.434403 <0.0001
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