The accompanying table shows the technology output for a two-sample t-test for the number of TVs owned in households of random samples of students at two different community colleges. Each individual was randomly chosen independently of the others; the students were not chosen as pairs or in groups. One of the schools is in a wealthy community (MC), and the other (OC) is in a less wealthy community. Complete the steps to test the hypothesis that the mean number of TVs p household is different in the two communities, using a significance level of 0.05. O Click the icon to view the technology output. Step 1: Hypothesize Let Hoc be the population mean number of televisions owned by families of students in the less wealthy community (OC), and let pme be the population mean number of televisions owned by families of students in the wealthy community (MC). Choose the correct hypotheses below. OA Ho: Hoc = Hmc O B. Ho: Hoc= Hmc H: Học Pmc H: Poc> Hmc OC. Ho: Hoc= Pmc OD. Ho: Hoc= Hmc O Technology Output H: Học= - Pmc H: Học Pmc Step 2: Prepare Choose an appropriate t-test. Select the correct answer below. N Mean StDev SE Mean OCTV MCTV 30 3.70 1.49 0.27 O A. A one-sample t-test should be used. O B. A two-sample t-test (from independent samples) should be used. OC. A two-sample t-test (from dependent samples) should be used. 30 3.20 1.47 0.27 Difference = u(OCTV) - µ(MCTV) Estimate for difference: 0.500 95% CI for difference: (-0.265,1.265) T-Test of difference = 0 (vs not =): T-Value = 1.31 P-value = 0.196 O D. There is no appropriate t-test for this situation. Because the sample sizes are 30, the Normality condition of the t-test is satisfied. State the other conditions and indicate whether they hold. The Random Samples and Independent Observations condition Print Done The Large Population condition The Independent Samples condition
The accompanying table shows the technology output for a two-sample t-test for the number of TVs owned in households of random samples of students at two different community colleges. Each individual was randomly chosen independently of the others; the students were not chosen as pairs or in groups. One of the schools is in a wealthy community (MC), and the other (OC) is in a less wealthy community. Complete the steps to test the hypothesis that the mean number of TVs p household is different in the two communities, using a significance level of 0.05. O Click the icon to view the technology output. Step 1: Hypothesize Let Hoc be the population mean number of televisions owned by families of students in the less wealthy community (OC), and let pme be the population mean number of televisions owned by families of students in the wealthy community (MC). Choose the correct hypotheses below. OA Ho: Hoc = Hmc O B. Ho: Hoc= Hmc H: Học Pmc H: Poc> Hmc OC. Ho: Hoc= Pmc OD. Ho: Hoc= Hmc O Technology Output H: Học= - Pmc H: Học Pmc Step 2: Prepare Choose an appropriate t-test. Select the correct answer below. N Mean StDev SE Mean OCTV MCTV 30 3.70 1.49 0.27 O A. A one-sample t-test should be used. O B. A two-sample t-test (from independent samples) should be used. OC. A two-sample t-test (from dependent samples) should be used. 30 3.20 1.47 0.27 Difference = u(OCTV) - µ(MCTV) Estimate for difference: 0.500 95% CI for difference: (-0.265,1.265) T-Test of difference = 0 (vs not =): T-Value = 1.31 P-value = 0.196 O D. There is no appropriate t-test for this situation. Because the sample sizes are 30, the Normality condition of the t-test is satisfied. State the other conditions and indicate whether they hold. The Random Samples and Independent Observations condition Print Done The Large Population condition The Independent Samples condition
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:The accompanying table shows the technology output for a two-sample t-test for the number of TVs owned in households of random samples of students at two different community colleges. Each individual was randomly chosen independently
of the others; the students were not chosen as pairs or in groups. One of the schools is in
wealthy community (MC), and the other (OC) is in a less wealthy community. Complete the steps to test the hypothesis that the mean number of TVs pe
household is different in the two communities, using a significance level of 0.05.
Click the icon to view the technology output.
Step 1: Hypothesize
Let uoc be the population mean number of televisions owned by families of students in the less wealthy community (OC), and let ume be the population mean number of televisions owned by families of students in the wealthy community (MC).
Choose the correct hypotheses below.
O A. Ho: Hoc = Pmc
O B. Ho: Hoc =Pmc
Ha: Học > Hmc
Ha: Học Pmc
O C. Ho: Hoc = Hmc
Ha: Học = - mc
O D. Ho: Hoc Pmc
Technology Output
Ha: Học <Pmc
Step 2: Prepare
Choose an appropriate t-test. Select the correct answer below.
Mean
StDev SE Mean
OCTV
MCTV
30
3.70
1.49
0.27
O A. A one-sample t-test should be used.
30
3.20
1.47
0.27
O B. A two-sample t-test (from independent samples) should be used.
OC. A two-sample t-test (from dependent samples) should be used.
Difference - μ(OCTV)- μ(MCTV)
Estimate for difference: 0,500
95% Cl for difference: (-0.265,1.265)
T-Test of difference = 0 (vs not = ): T-Value = 1.31 P-value = 0.196
O D. There is no appropriate t-test for this situation.
Because the sample sizes are 30, the Normality condition of the t-test is satisfied. State the other conditions and indicate whether they hold.
The Random Samples and Independent Observations condition
Print
Done
The Large Population condition
The Independent Samples condition

Transcribed Image Text:The accompanying table shows the technology output for a two-sample t-test for the number of TVs owned in households of random samples of students at two different community colleges. Each individual was randomly chosen independently
of the others; the students were not chosen as pairs or in groups. One of the schools is in a wealthy community (MC), and the other (OC) is in a less wealthy community. Complete the steps to test the hypothesis that the mean number of TVs per
household is different in the two communities, using a significance level of 0.05.
A Click the icon to view the technology output.
The significance level that will be used is a =
(Type an integer or a decimal. Do not round.)
Step 3: Compute to compare
Find the test statistic for this test.
t= (Type an integer or a decimal. Do not round.)
Find the p-value for this test.
p-value = (Type an integer or a decimal. Do not round.)
Step 4: Interpret
Reject or do not reject the null hypothesis. Then choose the correct interpretation.
V Họ. At the 5% significance level, there is
V evidence to conclude that the mean number of TVs of all students in the wealthier community is different from the mean number of TVs of all students in the less wealthy
community.
Confidence Interval
Report the confidence interval for the difference in means given by technology.
(Type integers or decimals. Do not round.)
State whether the confidence interval captures 0 and what this shows.
The interval for the difference
V 0. This implies that it
plausible that
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