A sports reporter for a local newspaper is working on a story about small college basketball players. A reporter for a major sports magazine found that large college basketball players score 25 points per game. The local paper reporter believes that small college players score more points per game than large college players. She watches several small college basketball games and follows 25 players. Those 25 players score an average of 27.3 points per game with a standard deviation of 1.25 points. At a significance level of .05, can the reporter conclude that small college basketball players score more points per game than large college players?
In: Math
A researcher tests whether job security and life satisfaction are related. In this study, he observes the following frequencies. If he computes a test for independence at a .05 level of significance, then what is the decision for this test?
Life Satisfaction |
|||
Yes |
No |
||
Job Security |
Yes |
14 |
10 |
No |
12 |
9 |
21. What were the total number of participants?
22. What is the null hypothesis?
23. What is the research hypothesis?
24. What is the chi-square value?
25. What is your conclusion regarding the null hypothesis?
In: Math
A group of biochemistry researchers developed a new medication
for treating depression. To assess if the new medication is
effective at treating depression, the researchers obtained a sample
of depressive patients from a local clinic. The patients were then
randomly assigned into taking the medication for a month or not. In
addition, the patients were also randomly assigned into receiving
psychotherapy for a month or not. At the end of the study, the
patients were asked to fill out a depression inventory in which a
higher score indicates more depression. The data are below. What
can be concluded with α = 0.01?
Psychotherapy
Medication | no | yes |
---|---|---|
no | 10 11 9 13 |
12 10 13 8 |
yes | 11 13 8 9 |
4 3 4 14 |
a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-way
ANOVA
b) Compute the appropriate test statistic(s) to
make a decision about H0.
Medication: p-value = ;
Decision: ---Select--- Reject H0 Fail to reject H0
Psychotherapy: p-value = ;
Decision: ---Select--- Reject H0 Fail to reject H0
Interaction: p-value = ;
Decision: ---Select--- Reject H0 Fail to reject H0
c) Compute the corresponding effect size(s) and
indicate magnitude(s).
Medication: η2
= ; ---Select--- na trivial effect small
effect medium effect large effect
Psychotherapy: η2
= ; ---Select--- na trivial effect small
effect medium effect large effect
Interaction: η2
= ; ---Select--- na trivial effect small
effect medium effect large effect
d) Make an interpretation based on the
results.
There is a medication difference in depression.There is no medication difference in depression.
There is a psychotherapy difference in depression.There is no psychotherapy difference in depression.
There is a medication by psychotherapy interaction in depression.There is no medication by psychotherapy interaction in depression.
In: Math
A local trucking company fitted a regression to relate the travel time (days) of its shipments as a function of the distance traveled (miles). The fitted regression is Time = −7.126 + 0.0214 Distance, based on a sample of 20 shipments. The estimated standard error of the slope is 0.0053. Find the value of tcalc to test for zero slope.
Select one:
A. 3.15
B. 4.04
C. 5.02
D. 2.46
In: Math
A real estate major collected information on some recent local home sales. The first 6 lines of the database appear below. The columns correspond to the house identification number, the community name, the ZIP code, the number of acres of the property, the year the house was built, the market value, and the size of the living area (in square feet).
House_ID |
Neighborhood |
Mail_ZIP |
Acres |
Yr_Built |
Full_Market_Value |
Size |
41340053 |
Greenfield Manor |
12859 |
1.00 |
1967 |
$1,00,400 |
960 |
4128001474 |
Fort Amherst |
12801 |
.009 |
1961 |
$1,32,500 |
90 |
412800344 |
Dublin |
12309 |
1.65 |
1993 |
$1,40,000 |
1620 |
4128001552 |
Granite Springs |
10598 |
0.33 |
1969 |
$67,100 |
900 |
412800352 |
Arcady |
10562 |
2.29 |
1955 |
$1,90,000 |
1224 |
413400322 |
Ornsbee |
12859 |
9.13 |
1997 |
$1,26,900 |
1056 |
For the real estate data of Exercise 1, do the data appear to have come from a designed survey or experiment? What concerns might you have about drawing conclusions from this data set?
In: Math
Many investors and financial analysts believe the Dow Jones
Industrial Average (DJIA) gives a good barometer of the overall
stock market. On January 31, 2006, 9 of the 30 stocks making up the
DJIA increased in price (The Wall Street Journal, February 1,
2006). On the basis of this fact, a financial analyst claims we can
assume that 30% of the stocks traded on the New York Stock Exchange
(NYSE) went up the same day.
A sample of 79 stocks traded on the NYSE that day showed that 33
went up.
You are conducting a study to see if the proportion of stocks that
went up is is significantly more than 0.3. You use a significance
level of α=0.002.
What is the test statistic for this sample? (Report answer
accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value =
The p-value is...
This test statistic leads to a decision to...
As such, the final conclusion is that...
In: Math
A survey of 1057 parents who have a child under the age of 18 living at home asked about their opinions regarding violent video games. A report describing the results of the survey stated that 89 % of parents say that violence in today's video games is a problem. (a) What number of survey respondents reported that they thought that violence in today’s video games is a problem? You will need to round your answer. X = (b) Find a 95% confidence interval ( ±0.001) for the proportion of parents who think that violence in today's video games is a problem. 95% confidence interval is from to (c) Convert the estimate of your confidence interval to percents ( ±0.1) % to %
In: Math
Use this table to answer the following questions.
# of siblings | 0-2 | 3-5 | 6 or more | Total |
Broncos Fan | 9 | 10 | 17 | 36 |
Not a Broncos Fan | 2 | 6 | 3 | 11 |
Total | 11 | 16 | 20 | 47 |
a) If a random a person was selected, what would be the
probability that the person was not a Broncos fan ?
b) Given that a person is a Broncos fan, what is the probability
that they have 6 or more siblings?
c) Given that a person has 3-5 siblings, what is the probability
that the person is not a Broncos fan?
d) If a random person was selected, what would be the probability
that the person was a Broncos fan?
e) If a random person was selected, what would be the probability
that the person is not a Broncos fan and has 3-5 siblings?
f) If a random person was selected, what would be the probability
that the person is not a Broncos fan or has 0-2 siblings?
g)If a random a person was selected, what would be the probability
that the person was a Broncos fan and has 3-5 siblings?
In: Math
The arrival of flights ar DIA has been monitored for the last
year. From the research, 65.17 % of all arrivals are on time.
Suppose a random sample of 16 flight arrivals is examined.
Using the binomial function,answer the following questions.
1. Create a table and enter only the first and last value in that
table.
k | P(X = k) |
---|---|
0 | |
.. | .. |
.. | .. |
16 |
2. Give the probability of exactly 10 on time arrivals?
3. Give the probability of at most 9 on time arrivals?
4. Give the expected (mean) mean number of on time arrivals.
In: Math
Name Length of Service (in years)
William O. Douglas 36
Stephen Johnson Field 34
John Paul Stevens 34
John Marshall 34
Hugo Black 34
John Marshall Harlan 33
William J. Brennan 33
Joseph Story 33
James Moore Wayne 32
John Roberts 13
Please provide the following information (1 pt. each):
a. M years of service
b. SD years of service
c. Probability of observing the term length of John Roberts
In: Math
The following data represent the number of flash drives sold per day at a local computer shop and their prices.
Price (x) Units Sold
(y)
$34
4
36
4
32 6
35
5
31
9
38
2
39
1
You may use Excel for solving this problem.
In: Math
Please walk me through SPSS setup for this and complete the following:
Consider the data below of inches of rainfall per month for three different regions in the Northwestern United States: Please use SPSS and complete the following:
Plains Mountains. Forest
April 25.2. 13.0 9.7
May 17.1 18.1 16.5
June 18.9. 15.7. 18.1
July 17.3 11.3 13.0
August 16.5 14.0 15.4
Using SPSS, perform an ANOVA test for the hypothesis that there is not the same amount of rainfall in every region in the Northwestern United States with a significance level of 0.02. What are the two degrees of freedom of your test statistic? Please attach your Word file and, in a written analysis, explain what your conclusion is and why
In: Math
Question 1
The expected values are what we have from ______________.
a. data
b. sampling
c. theory
d. experiments
Question 2
What is the relationship between the mean and the standard deviation of the chi-square distribution?
a. The standard deviation is twice the mean.
b. The standard deviation is the square root of 2 times the mean.
c. They are the same.
d. They are inverses of each other.
Question 3
As the degrees of freedom increase, the graph of the chi-square distribution looks more and more:
a. skewed right
b. asymmetrical
c. skewed left
d. symmetrical
Question 4
Most of the time, the Goodness-of-Fit is a:
a. right-tailed test
b. two-tailed test
c. left-tailed test
d. wagging-tailed test
Question 5 Which test is the correct one to use when determining if a class distribution of grades follows the normal distribution?
a. Test of Independence
b. Goodness-of-Fit
Question 6
Which test is the correct one to use when determining if the numbers picked in the lottery are randomly selected?
a. Test of Independence
b. Goodness-of-fit
Question 7
This is a free question. The answer is 21.8.
a. 21.8
b. 9.4
c. 12.7
d. 46.3
Question 8
Most of the time, the Test for Independence is a:
a. two-tailed test
b. left-tailed test
c. right-tailed test
d. wagging-tailed test
Question 9
Which test is the correct one to use when determining if the gender of a person is independent from the college major of the person?
a. Test for Independence
b. Goodness-of-Fit
Question 10
Which test is the correct one to use when determining if the religion of a person is related to his/her political party affiliation?
a. Test of Independence
b. Goodness-of-Fit
In: Math
Please walk me through SPSS to answer this question...
Consider the data below of inches of rainfall per month for two different regions in the Northwestern United States:
Plains Mountains
April 25.2 13.0
May 17.1 18.1
June 18.9 15.7
July 17.3 11.3
August 16.5 14.0
Using SPSS, perform a two-sample t-test for the hypothesis that there is not the same amount of rainfall in both regions in the Northwestern United States with a significance level of 0.025. What are the degrees of freedom of your test statistic?
In: Math
Samples of computers are taken from two county library locations and the number of internet tracking spyware programs is counted. The first location hosted 21 computers with a mean of 4.1 tracking programs and a standard deviation of 0.8. The second location hosted 19 computers with a mean of 6.2 tracking programs and a standard deviation of 1.2.
a) Please calculate the appropriate standard error statistic for the scenario provided.
b)Please calculate a confidence interval around your point estimates as appropriate for the scenario. Use a confidence limit of 99% (.01)
c) Please calculate a confidence interval around your point estimates as appropriate for the scenario. Use a confidence limit of 95%.
d) How do your confidence intervals compare? Is this what you expected to see? Why?
In: Math