Description
Suppose a disease is expected to infect 2% of those living in the United States. If the population is 280,000,000, how many people could we expect to become infected with this disease?
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Explanation & Answer
2% of 280,000,000=5,600,000
5,600,000 would become affected with the disease
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MCAD Hypothesis Test for a Difference in Two Population Means Worksheet
Learn by DoingIn this activity you will learn to use StatCrunch to perform a two-sample t-test.Some features of this activ ...
MCAD Hypothesis Test for a Difference in Two Population Means Worksheet
Learn by DoingIn this activity you will learn to use StatCrunch to perform a two-sample t-test.Some features of this activity may not work well on a cell phone or
tablet. We highly recommend that you complete this activity on a
computer.Here are the directions and grading rubric for the discussion board exercises. A list of StatCrunch directions is provided at the bottom of this page.ContextDo undergraduates sleep less than graduate students?A student conducted a study of sleep habits at a large state
university. His hypothesis is that undergraduates will party more and
sleep less than graduate students. He surveyed random samples of 75
undergraduate students and 50 graduate students. Subjects reported the
hours they sleep in a typical night.For this hypothesis test, he defined the population means as follows:
μ
1
is the mean number of hours undergraduate students sleep in a typical night.
μ
2
is the mean number of hours graduate students sleep in a typical night.VariablesHours: typical number of hours a student sleeps each night Program: undergraduate or graduate Program is the explanatory variable, and the data is categorical. Hours is the response variable, and the data is quantitative.DataTwo sample T hypothesis test:μ1 : Mean of undergraduateμ2 : Mean of graduateμ1 - μ2 : Difference between two meansH0 : μ1 - μ2 = 0HA : μ1 - μ2 < 0(without pooled variances)Hypothesis test results:
DifferenceSample Diff.Std. Err.DFT-StatP-value
μ1 - μ2-0.233333330.18963708106.32776-1.23042040.1106
PromptState the null and alternative hypotheses. Include a clear description of the populations and the variable.Explain why we can safely use the two-sample T-test in this case.Use StatCrunch to carry out the test. Copy and paste the content of in the StatCrunch output window (text and the table) in your initial post. State a conclusion in the context of this problem.ANSWER(S): (hint)Since we want to check whether the data supports the claim that
undergraduate students sleep less, on average, than graduate students,
we are testing:
H
0
:
μ
1
−
μ
2
=
0
H
a
:
μ
1
−
μ
2
<
0
We can safely use the two-sample T-test in this case since:
Both samples are random, and therefore independent.The sample sizes (75 and 50) are quite large, and therefore we can
proceed regardless of whether the populations are normal or not.
T = -1.23; P-value = 0.111Here is the StatCrunch output depicting these values.Two sample T hypothesis test:
μ
1
: Mean of undergraduate
μ
2
: Mean of graduate
H
0
:
μ
1
−
μ
2
=
0
H
a
:
μ
1
−
μ
2
<
0
(without pooled variances)
Hypothesis test results:
Difference
Sample Diff.
Sd. Err.
DF
T-Stat
P-Value
μ1 - μ2
-0.23333333
0.18963708
106.32776
-1.2304204
0.1106
The P-value (0.111) is greater than 0.05. This indicates that
the observed data is not unusual if undergraduate and graduate students,
on average, have the same mean for sleep hours. Therefore, the data do
not provide evidence to reject
H
0
. So we cannot conclude that undergraduate students sleep less, on average, than graduate students.
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Most Popular Content
MCAD Hypothesis Test for a Difference in Two Population Means Worksheet
Learn by DoingIn this activity you will learn to use StatCrunch to perform a two-sample t-test.Some features of this activ ...
MCAD Hypothesis Test for a Difference in Two Population Means Worksheet
Learn by DoingIn this activity you will learn to use StatCrunch to perform a two-sample t-test.Some features of this activity may not work well on a cell phone or
tablet. We highly recommend that you complete this activity on a
computer.Here are the directions and grading rubric for the discussion board exercises. A list of StatCrunch directions is provided at the bottom of this page.ContextDo undergraduates sleep less than graduate students?A student conducted a study of sleep habits at a large state
university. His hypothesis is that undergraduates will party more and
sleep less than graduate students. He surveyed random samples of 75
undergraduate students and 50 graduate students. Subjects reported the
hours they sleep in a typical night.For this hypothesis test, he defined the population means as follows:
μ
1
is the mean number of hours undergraduate students sleep in a typical night.
μ
2
is the mean number of hours graduate students sleep in a typical night.VariablesHours: typical number of hours a student sleeps each night Program: undergraduate or graduate Program is the explanatory variable, and the data is categorical. Hours is the response variable, and the data is quantitative.DataTwo sample T hypothesis test:μ1 : Mean of undergraduateμ2 : Mean of graduateμ1 - μ2 : Difference between two meansH0 : μ1 - μ2 = 0HA : μ1 - μ2 < 0(without pooled variances)Hypothesis test results:
DifferenceSample Diff.Std. Err.DFT-StatP-value
μ1 - μ2-0.233333330.18963708106.32776-1.23042040.1106
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undergraduate students sleep less, on average, than graduate students,
we are testing:
H
0
:
μ
1
−
μ
2
=
0
H
a
:
μ
1
−
μ
2
<
0
We can safely use the two-sample T-test in this case since:
Both samples are random, and therefore independent.The sample sizes (75 and 50) are quite large, and therefore we can
proceed regardless of whether the populations are normal or not.
T = -1.23; P-value = 0.111Here is the StatCrunch output depicting these values.Two sample T hypothesis test:
μ
1
: Mean of undergraduate
μ
2
: Mean of graduate
H
0
:
μ
1
−
μ
2
=
0
H
a
:
μ
1
−
μ
2
<
0
(without pooled variances)
Hypothesis test results:
Difference
Sample Diff.
Sd. Err.
DF
T-Stat
P-Value
μ1 - μ2
-0.23333333
0.18963708
106.32776
-1.2304204
0.1106
The P-value (0.111) is greater than 0.05. This indicates that
the observed data is not unusual if undergraduate and graduate students,
on average, have the same mean for sleep hours. Therefore, the data do
not provide evidence to reject
H
0
. So we cannot conclude that undergraduate students sleep less, on average, than graduate students.
Walden University Correlation and Bivariate Regression Article Summary
Discussion: Correlation and Bivariate RegressionTo prepare for this Discussion:Search for and select a quantitative articl ...
Walden University Correlation and Bivariate Regression Article Summary
Discussion: Correlation and Bivariate RegressionTo prepare for this Discussion:Search for and select a quantitative article specific to your discipline and related to correlation or regression. Help with this task may be found in the Course guide and assignment help linked in this week’s Learning Resources. Also, you can use as guide the Research Design Alignment Table located in this week’s Learning Resources.Write a 3- to 5-paragraph critique of the article. In your critique, include responses to the following:What is the research design used by the authors?Why did the authors use correlation or bivariate regression?Do you think it’s the most appropriate choice? Why or why not?Did the authors display the data?Do the results stand alone? Why or why not?Did the authors report effect size? If yes, is this meaningful?Be sure to support your Main Post and Response Post with reference to the week’s Learning Resources and other scholarly evidence in APA Style.
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The student enrollment E of a high school was 1200 in 1990 and increased by 12% per year until 1998. Which exponential growth model shows the school’s student enrollment in terms of t, the number of years since 1990?
The student enrollment E of a high school was 1200 in 1990 and
increased by 12% per year until 1998. Which exponential g ...
The student enrollment E of a high school was 1200 in 1990 and increased by 12% per year until 1998. Which exponential growth model shows the school’s student enrollment in terms of t, the number of years since 1990?
The student enrollment E of a high school was 1200 in 1990 and
increased by 12% per year until 1998. Which exponential growth model
shows the school’s student enrollment in terms of t, the number of
years since 1990?Answer A. E = 12(1200)tAnswer B. E = 1200(1.12)tAnswer C. E = 1200(12)tAnswer D. E = 1.15(1240)t
49 pages
Nursing Question Fc
Students | Complete your doctoral prospectus within this form. Write your responses in the white spaces using a scholarly ...
Nursing Question Fc
Students | Complete your doctoral prospectus within this form. Write your responses in the white spaces using a scholarly tone and include in-text
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