Question 2 At the end of 2020, the mean age of the U.S. population was estimated to be 38.5 years old. You are tasked with determining whether the mean age of the population of IAT participants (for your chosen IAT data set) differs from the mean age of the U.S. population. 1. Let be the mean age of the population of IAT participants for your chosen IAT data set. State the hypotheses (symbolically and in words). Include a clear description of the populations and the variable. 2. 3. 4. Use StatCrunch to create a histogram for the age distribution in your unique IAT sample. Download the StatCrunch output window and embed your histogram with your response. Can we safely use the t-test with your IAT sample? Explain. Perform the t-test using StatCrunch. Copy the information from the StatCrunch output window and paste it into your response. Based on the P-value, state your conclusions in context. Use a 5% level of significance. (NOTE: Since StatCrunch correctly calculates the P-value for either a one-tailed or a two-tailed test, you do not need to change the StatCrunch P-value.) 5. Using the context of this scenario, explain the meaning of each of the following items from the StatCrunch output for the hypothesis test. Std. Err (standard error) T-stat (T-score) P-value$ Fancy 150 SampleAg Two sample T hypothesis test: H₁: Mean of Sample(IAT-Weight-Score) H2: Mean of Sample(Age) H₁ H2 Difference between two means Ho H1-H2=0 HA H1-H20 (without pooled variances) Hypothesis test results: Difference Sample Diff. Std. Err. DF T-Stat P-value H1 H2 -31.064092 0.49357124 800.48126 -62.937403 <0.0001
Question 2 At the end of 2020, the mean age of the U.S. population was estimated to be 38.5 years old. You are tasked with determining whether the mean age of the population of IAT participants (for your chosen IAT data set) differs from the mean age of the U.S. population. 1. Let be the mean age of the population of IAT participants for your chosen IAT data set. State the hypotheses (symbolically and in words). Include a clear description of the populations and the variable. 2. 3. 4. Use StatCrunch to create a histogram for the age distribution in your unique IAT sample. Download the StatCrunch output window and embed your histogram with your response. Can we safely use the t-test with your IAT sample? Explain. Perform the t-test using StatCrunch. Copy the information from the StatCrunch output window and paste it into your response. Based on the P-value, state your conclusions in context. Use a 5% level of significance. (NOTE: Since StatCrunch correctly calculates the P-value for either a one-tailed or a two-tailed test, you do not need to change the StatCrunch P-value.) 5. Using the context of this scenario, explain the meaning of each of the following items from the StatCrunch output for the hypothesis test. Std. Err (standard error) T-stat (T-score) P-value$ Fancy 150 SampleAg Two sample T hypothesis test: H₁: Mean of Sample(IAT-Weight-Score) H2: Mean of Sample(Age) H₁ H2 Difference between two means Ho H1-H2=0 HA H1-H20 (without pooled variances) Hypothesis test results: Difference Sample Diff. Std. Err. DF T-Stat P-value H1 H2 -31.064092 0.49357124 800.48126 -62.937403 <0.0001
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 8SGR
Related questions
Question
Transcribed Image Text:Question 2
At the end of 2020, the mean age of the U.S. population was estimated to be 38.5 years old. You are tasked with determining
whether the mean age of the population of IAT participants (for your chosen IAT data set) differs from the mean age of the U.S.
population.
1. Let be the mean age of the population of IAT participants for your chosen IAT data set. State the hypotheses
(symbolically and in words). Include a clear description of the populations and the variable.
2.
3.
4.
Use StatCrunch to create a histogram for the age distribution in your unique IAT sample. Download the StatCrunch
output window and embed your histogram with your response. Can we safely use the t-test with your IAT sample?
Explain.
Perform the t-test using StatCrunch. Copy the information from the StatCrunch output window and paste it into your
response.
Based on the P-value, state your conclusions in context. Use a 5% level of significance. (NOTE: Since StatCrunch
correctly calculates the P-value for either a one-tailed or a two-tailed test, you do not need to change the StatCrunch
P-value.)
5. Using the context of this scenario, explain the meaning of each of the following items from the StatCrunch output for
the hypothesis test.
Std. Err (standard error)
T-stat (T-score)
P-value$
Fancy
150
SampleAg
Two sample T hypothesis test:
H₁: Mean of Sample(IAT-Weight-Score)
H2: Mean of Sample(Age)
H₁ H2 Difference between two means
Ho H1-H2=0
HA H1-H20
(without pooled variances)
Hypothesis test results:
Difference
Sample Diff.
Std. Err.
DF
T-Stat
P-value
H1 H2
-31.064092
0.49357124
800.48126
-62.937403 <0.0001
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