Question
In: Statistics and Probability
Three independent random samples of community college students were obtained to find out how many hours...
Three independent random samples of community college students were obtained to find out how many hours the students spent each week doing math homework outside of the classroom. The samples were made up of students in pre-algebra, elementary algebra, and intermediate algebra.
|
PreAlg |
ElemAlg |
InterAlg |
|
1 |
5 |
9 |
|
0 |
2 |
2 |
|
1 |
3 |
3 |
|
1 |
3 |
1 |
|
2 |
2 |
4 |
|
2 |
3 |
2 |
|
2.5 |
4 |
3 |
|
3 |
2 |
5 |
|
0.5 |
4 |
7 |
|
0 |
3 |
3 |
|
1 |
3 |
4 |
|
8 |
a. How many comparisons would be required to compare the populations two at a time?
b. If we wanted an overall significance of .05 what significance would we use in each test according to the Bonferroni correction?
c. Assuming we meet the requirements, find the p-values for each of the possible two tailed tests. PreAlg and ElemAlg: p-value= PreAlg and InterAlg: p-value= ElemAlg and InterAlg: p-value= d. What is your conclusion?
Solutions
Expert Solution
- As there are total three independent random samples, therefore
to compare the populations two at a time, we need
comparisons i.e. 3. - If the desired level of significance is
and m number of hypotheses are to be tested, then according to
Bonferroni correction the significance level will be 
for each of the hypothesis under test. For the given problem,
and m=3, hence the significance level will be 0.0167 for each of
the test. - Perform two tailed t-test as the given set up holds small sample and population variance is unknown.
comparisons i.e. 3.
and m number of hypotheses are to be tested, then according to
Bonferroni correction the significance level will be 
for each of the hypothesis under test. For the given problem,
and m=3, hence the significance level will be 0.0167 for each of
the test.PreAlg and ElemAlg: p-value= 0.00026
PreAlg and InterAlg: p-value= 0.00191
ElemAlg and InterAlg: p-value=0.16060
4. Conclusion:
For each of the test, the significance level is 0.0167. The first two comparison, i.e.(i) PreAlg and ElemAlg and (ii) PreAlg and InterAlg have p-value smaller than the significance level and hence we can conclude that the hypotheses of these two comparisons are rejected at 0.0167 level of significance. Therefore students of PreAlg and ElemAlg differ significantly between themselves and the students of PreAlg and InterAlg differ significantly between themselves as well.
Again, (iii) ElemAlg and InterAlg have p-value greater than the significance level and hence we can conclude that the hypotheses of this comparisons is not rejected at 0.0167 level of significance. Therefore, there no significant difference between the students of ElemAlg and InterAlg.
orchestra answered 2 years agoRelated Solutions
You took independent random samples of 20 students at City College and 25 students at SF...
You took independent random samples of 20 students at City
College and 25 students at SF State. You asked each student how
many sodas they drank over the course of a year. The sample mean at
City College was 80 and the sample standard deviation was 10. At
State the sample mean was 90 and the sample standard deviation was
15. Use a subscript of c for City College and a subscript of s for
State.
Calculate a point estimate...
The following three independent random samples are obtained from three normally distributed populations with equal variance....
The following three independent random samples are obtained from
three normally distributed populations with equal variance. The
dependent variable is starting hourly wage, and the groups are the
types of position (internship, co-op, work study).
Group 1: Internship
Group 2: Co-op
Group 3: Work Study
12.5
13
13.5
10.75
12
13.25
12.5
9.5
11.75
12
12.5
13.25
12.5
12.5
12.75
9.5
14
13.5
12.25
14.25
15
Use technology to conduct a one-factor ANOVA to determine if the
group means are...
The following three independent random samples are obtained from three normally distributed populations with equal variances....
The following three independent random samples are obtained from
three normally distributed populations with equal variances. The
dependent variable is starting hourly wage, and the groups are the
types of position (internship, co-op, work study). Round answers to
4 decimal places.
Internship
Co-op
Work Study
9.25
10.5
10.75
9.5
9.75
10
10.75
11
10.5
12
10.75
11.25
10.25
10.25
9.75
10.75
9.25
10.25
10
11.5
9
9.75
9.75
10
10.25
9.5
11.25
12.75
11
10.75
10
11.5
8.75
8.25
10...
The following three independent random samples are obtained from three normally distributed populations with equal variance....
The following three independent random samples are obtained from
three normally distributed populations with equal variance. The
dependent variable is starting hourly wage, and the groups are the
types of position (internship, co-op, work study). We are testing
the claim that the starting salaries for new college graduate are
different depending on the positions at α=0.2α=0.2 given the
following data
Group 1: Internship
Group 2: Co-op
Group 3: Work Study
10
11.25
16
14.75
13
14
10.5
13.5
14
9.5...
The following three independent random samples are obtained from three normally distributed populations with equal variances....
The following three independent random samples are obtained from
three normally distributed populations with equal variances. The
dependent variable is starting hourly wage, and the groups are the
types of position (internship, co-op, work study). Round answers to
4 decimal places.
Internship
Co-op
Work Study
11.25
11
10.5
12.5
11.75
14.75
10.75
14
10.5
11.5
9.5
9.5
12.5
13.5
11
11.75
10.75
13.25
11.75
14.25
10.5
14.25
10.75
12.5
12.5
12.75
12.25
11.5
11.25
9.5
12
12.25
11.75
10.5
12...
The following three independent random samples are obtained from three normally distributed populations with equal variance....
The following three independent random samples are obtained from
three normally distributed populations with equal variance. The
dependent variable is starting hourly wage, and the groups are the
types of position (internship, co-op, work study).
Group 1: Internship
Group 2: Co-op
Group 3: Work Study
9
9
13.75
9.25
12.75
11.75
12
11.5
11.25
11.75
14.75
16.25
12.25
8.75
10
11.75
10.5
11.5
10
9.75
12.75
11.25
10.75
15.5
Do not forget to convert this table from parallel format
(i.e.,...
The following three independent random samples are obtained from three normally distributed populations with equal variance....
The following three independent random samples are obtained from
three normally distributed populations with equal variance. The
dependent variable is starting hourly wage, and the groups are the
types of position (internship, co-op, work study).
Group 1: Internship
Group 2: Co-op
Group 3: Work Study
15
14.75
14.25
17.25
9.75
15.5
13
15.25
16.25
16.75
14
13.5
13
14.25
13.75
13
16
15.75
15.25
9.5
15.25
17.5
12
16.75
Do not forget to convert this table from parallel format
(i.e.,...
A researcher conducted an experiment in which two independent random samples of students were asked to...
A researcher conducted an experiment in which two independent
random samples of students were asked to rate on a 7-point scale
whether they thought animal research is wrong with 7 indicating it
was wrong and 1 indicating it was not wrong. The sample sizes,
means, and variances are shown separately for males and females in
Table below.
Groups
N
Mean
Variance
Females (Group 1)
17
5.353
2.743
Males (Group 2)
32
3.882
2.985
What is the correct calculated value for...
Sleeping outlier: A simple random sample of nine college freshmen were asked how many hours of...
Sleeping outlier: A simple random sample of nine college
freshmen were asked how many hours of sleep they typically got per
night. The results were
8.5 24 9 8.5 8 6.5 6 7.5 9.5
Notice that one joker said that he sleeps 24 a day.
(a) The data contain an outlier that is clearly a mistake.
Eliminate the outlier, then construct a 99.9% confidence interval
for the mean amount of sleep from the remaining values. Round the
answers to at...
You want to find out the percentage of community college students that own a pet. You...
You want to find out the percentage of community college
students that own a pet. You decide to email five students in one
of your classes and ask them if they own any pets.
(a) What is the population in this example?
(b) What is the sample?
(c) What is the parameter of interest?
(d) Suppose three of the five students tell you they own a pet,
while the other two say they do not. i. Is this numerical or...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Naive reasoning suggests that a string theory vacuum with cosmological constant Lambda1 is always unstable as...
- I. Design and code a class Rectangle that has the following properties: Two private members double...
- A bond has a $1,000 par value, 10 years to maturity, and an 8% annual coupon...
- The following are the monthly rates of return for Madison Cookies and for Sophie Electric during...
- 1.) Think back to August 6, 1945. The United States has just dropped an atomic weapon...
- Carry out the equipment and operating procedures between injection molding of thermoplastics and injection molding of...
- The cumulative timing approach was used to time a job and its elements. Use the following...
ADVERTISEMENT