| Week | 1 | 2 | 3 | 4 | 5 | 6 |
| Value | 18 | 14 | 17 | 12 | 18 | 15 |
Calculate the measures of forecast error using the naive (most recent value) method and the average of historical data (to 2 decimals).
| Naive method | Historical data | |
| Mean absolute error | ||
| Mean squared error | ||
| Mean absolute percentage error |
In: Math
A study was performed comparing the efficacy of a new pain reliever, Galproxidone, to several pain relievers commonly prescribed after orthopedic surgury. Patients were asked to rate their pain after taking each medication. The data is listed below. Perform an ANOVA to determine the relative efficacy of Galproxidone on pain relief compared to the other pain relievers. If differences exist, perform a Bonferoni post-hoc test to determine which pain relievers are different from Galproxidone. Interpret the final results in terms of relative efficacy of the pain relievers.
|
Acetaminophen |
Oxycodone |
Hydroxycodone |
Galproxidone |
|
5 |
2 |
3 |
2 |
|
5 |
2 |
4 |
3 |
|
5 |
1 |
5 |
5 |
|
6 |
2 |
3 |
2 |
|
6 |
3 |
3 |
1 |
|
4 |
1 |
4 |
1 |
|
4 |
3 |
3 |
3 |
|
4 |
2 |
4 |
5 |
|
4 |
2 |
2 |
2 |
|
5 |
1 |
2 |
1 |
In: Math
A local anime fan club surveyed its members regarding their viewing habits last weekend, and the following information was obtained: 37 members had watched an episode of Naruto, 47 had watched an episode of Death Note, 23 had watched both an episode of Naruto and an episode of Death Note, and 12 had watched neither Naruto nor Death Note. (Round your answers to three decimal places.) (a) What percent of the club members had watched Naruto or Death Note? % (b) What percent of the club members had watched only Naruto? % (c) What percent of the club members had watched only Death Note? %
In: Math
A Chi-square test for goodness of fit is used to evaluate preferences for 8 different designs of a new automobile. With a sample of n = 500 the researcher obtained a Chi-square statistic of Chi2 = 15.81. What is the correct statistical decision for this outcome (assume p <.05)?
A. Reject the null hypothesis and conclude that there is no significant difference in preferences.
B. Reject the null hypothesis and conclude that there is a significant difference in preferences.
C. Fail to reject the null hypothesis and conclude that there is no significant difference in preferences.
D. Fail to reject the null hypothesis and conclude that there is a significant difference in preferences.
In: Math
Suppose the mean income of firms in the industry for a year is 55 million dollars with a standard deviation of 3 million dollars. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn less than 60 million dollars? Round your answer to four decimal places.
In: Math
Test the hypothesis (at the .05 level of significance) that individuals who were bullied are more likely to bully others. Test the hypothesis (at the .05 level of significance) that individuals who were bullied committed more bullying than those who were not bullied
| ID of Respondent | #of Friends who Bully | Respondent was a Bully Victim (0=No, 1=Yes) | Gender (0=Female, 1=Male) | # of times Respondent Bullied Others |
| 1 | 2 | 1 | 1 | 5 |
| 2 | 4 | 1 | 0 | 2 |
| 3 | 3 | 0 | 1 | 8 |
| 4 | 2 | 0 | 0 | 4 |
| 5 | 6 | 1 | 1 | 6 |
| 6 | 3 | 0 | 0 | 2 |
| 7 | 7 | 1 | 1 | 7 |
| 8 | 4 | 0 | 0 | 0 |
| 9 | 2 | 1 | 1 | 1 |
| 10 | 7 | 1 | 1 | 8 |
In: Math
Explain the difference between convenience, non-probability,
probability, stratified, clustered, and systematic samples.
Write a multi-paragraph response.
I just need each topic explained simply so I can understand and write the paragraphs
In: Math
Part II: Linear Programming Model- Forbelt Corporation has a one-year contract to supply motors for all refrigerators produced by the Ice Age Corporation. Ice Age manufacturers the refrigerators at four locations around the country: Boston, Dallas, Los Angeles, and St. Paul. Plans call for the following number (in thousands) of refrigerators to be produced at each location: Boston 50 Dallas 70 Los Angeles 60 St. Paul 80 Forbelt’s three plants ae capable of producing the motors. The plans and production capacities (in thousands) are as follows: Denver 100 Atlanta 100 Chicago 150 Because of varying production and transportation costs, the profit that Forbelt earns on each lot of 1000 units depends on which plant produces the lot and which destination it was shipped to. Ship to: Produced At: Boston, Dallas, Los Angeles ,St. Paul Denver 7 , 11 . 8 13 Atlanta 20 17 . 12 10 Chicago 8 18 13 16 With profit maximization as a criterion, Forbelt’s management wants to determine how many motors should be produced at each plant and how many motors should be shipped form each plant to each destination. Find the optimal solution.
* I have the solution to the above problem, I need help with calculating profit (ex, when distribution changes)
In: Math
Question 1: Refer to accompanying data set and use the 25 home voltage measurements to construct a frequency distribution with five classes. Begin with a lower class limit of 121.7 volts, and use a class width of 0.2 volt. Does the result appear to have a normal distribution? Why or why not?
Voltage Measurements from a Home
| Day | Home (volts) | Day | Home (volts) | Day | Home (volts) | Day | Home (volts) |
|---|---|---|---|---|---|---|---|
| 1 | 121.9 | 8 | 121.9 | 14 | 122.3 | 20 | 122.6 |
| 2 | 122.4 | 9 | 122.2 | 15 | 122.3 | 21 | 122.3 |
| 3 | 122.2 | 10 | 122.4 | 16 | 122.3 | 22 | 122.2 |
| 4 | 122.3 | 11 | 122.2 | 17 | 121.8 | 23 | 121.9 |
| 6 | 122.6 | 12 | 122.1 | 18 | 122.0 | 24 | 121.9 |
| 7 | 122.2 | 13 | 122.2 | 19 | 122.1 | 25 | 122.2 |
Complete the frequency distribution below.
Answer: Fill in the blanks in voltage and frequency section.
| Voltage (volts) | Frequency |
| 121.7- | |
| __-__ | |
| __-__ | |
| __-__ | |
| __-__ |
Question 2: The data represents the daily rainfall (in inches) for one month. Construct a frequency distribution beginning with a lower level class limit of 0.00 and use a class width of 0.20. Does the frequency distribution appear to be roughly a normal distribution
| 0.47 | 0 | 0 | 0.23 | 0 | 0.46 | |
| 0 | 0.22 | 0 | 0 | 1.37 | 0 | |
| 0.13 | 0 | 0.01 | 0 | 0.22 | 0 | |
| 0.19 | 0.88 | 0 | 0.01 | 0 | 0.26 | |
| 0 | 0.22 | 0 | 0 | 0.11 | 0 |
Answer: Solve answer for frequency
| Daily Rainfall (in inches) | Frequency |
| 0.00-0.19 | |
| 0.20-0.39 | |
| 0.40-0.59 | |
| 0.60-0.79 | |
| 0.80-0.99 | |
| 1.00-1.19 | |
| 1.20-1.39 | |
Please show work
In: Math
Suppose that in the certain country the proportion of people with red hair is 29%. Find the following probabilities if 37 people are randomly selected from the populattion of this country. Round all probabilities to four decimals.
(a) The probability that exactly 6 of the people have red hair
(b) The probability that at least 6 of the people have red hair
(c) Out of the sample of 37 people, it would be unusual to have more than people with red hair. Express your answer as a whole number.
In: Math
Not sure about question f-j . looking to confirm my answers with someone
Health spending per person from a random sample of 20 countries is shown below.
|
Country |
Per capita health expenditure in 2010 |
|
Bahrain |
868 |
|
Belarus |
324 |
|
Belize |
243 |
|
Brunei Darussalam |
886 |
|
Colombia |
476 |
|
Congo, Rep. |
76 |
|
Cote d’Ivorie |
64 |
|
Cuba |
611 |
|
Finland |
3988 |
|
Germany |
4672 |
|
Guinea-Bissau |
51 |
|
Guyana |
184 |
|
Jamaica |
247 |
|
Lesotho |
113 |
|
Malta |
1701 |
|
Morocco |
152 |
|
Namibia |
365 |
|
Phillipines |
81 |
|
Qatar |
1493 |
|
Saudi Arabia |
684 |
In: Math
(Data below) (to be done with EVIEWS or any data processor)
Millions of investors buy mutual funds, choosing from thousands of possibilities. Some funds can be purchased directly from banks or other financial institutions (direct) whereas others must be purchased through brokers (broker), who charge a fee for this service. A group of researchers randomly sampled 50 annual returns from mutual funds that can be acquired directly and 50 from mutual funds that are bought through brokers and recorded their net annual returns (NAR, %), which are the returns on investment after deducting all relevant fees.1
(a) In general, we can conduct hypothesis tests on a population central location with EViews by performing the (one sample) t-test, the sign test or the Wilcoxon signed ranks test.2 Suppose we would like to know whether there is evidence at the 5% level of significance that the population central location of NAR is larger than 5%. Which test(s) offered by EViews would be the most appropriate this time? Explain your answer by considering the conditions required by these tests.
(b) Perform the test you selected in part (e) above with EViews. Do not forget to specify the null and alternative hypotheses, to identify the test statistic, to make a statistical decision based on the p-value, and to draw an appropriate conclusion. If the test relies on normal approximation, also discuss whether this approximation is reasonable this time.
(c) Perform the other tests mentioned in part (a). Again, do not forget to specify the null and alternative hypotheses, to identify the test statistics, to make statistical decisions based on the p-values, and to draw appropriate conclusions. Also, if the tests rely on normal approximation, discuss whether these approximations are reasonable this time.
(d) Compare your answers in parts (b) and (c) to each other. Does it matter in this case whether the population of net returns is normally, or at least symmetrically distributed or not? Explain your answer.
| PURCHASE | NAR (%) |
| Direct | 9.33 |
| Direct | 6.94 |
| Direct | 16.17 |
| Direct | 16.97 |
| Direct | 5.94 |
| Direct | 12.61 |
| Direct | 3.33 |
| Direct | 16.13 |
| Direct | 11.20 |
| Direct | 1.14 |
| Direct | 4.68 |
| Direct | 3.09 |
| Direct | 7.26 |
| Direct | 2.05 |
| Direct | 13.07 |
| Direct | 0.59 |
| Direct | 13.57 |
| Direct | 0.35 |
| Direct | 2.69 |
| Direct | 18.45 |
| Direct | 4.23 |
| Direct | 10.28 |
| Direct | 7.10 |
| Direct | 3.09 |
| Direct | 5.60 |
| Direct | 5.27 |
| Direct | 8.09 |
| Direct | 15.05 |
| Direct | 13.21 |
| Direct | 1.72 |
| Direct | 14.69 |
| Direct | 2.97 |
| Direct | 10.37 |
| Direct | 0.63 |
| Direct | 0.15 |
| Direct | 0.27 |
| Direct | 4.59 |
| Direct | 6.38 |
| Direct | 0.24 |
| Direct | 10.32 |
| Direct | 10.29 |
| Direct | 4.39 |
| Direct | 2.06 |
| Direct | 7.66 |
| Direct | 10.83 |
| Direct | 14.48 |
| Direct | 4.80 |
| Direct | 13.12 |
| Direct | 6.54 |
| Direct | 1.06 |
| Broker | 3.24 |
| Broker | 6.76 |
| Broker | 12.80 |
| Broker | 11.10 |
| Broker | 2.73 |
| Broker | 0.13 |
| Broker | 18.22 |
| Broker | 0.80 |
| Broker | 5.75 |
| Broker | 2.59 |
| Broker | 3.71 |
| Broker | 13.15 |
| Broker | 11.05 |
| Broker | 3.12 |
| Broker | 8.94 |
| Broker | 2.74 |
| Broker | 4.07 |
| Broker | 5.60 |
| Broker | 0.85 |
| Broker | 0.28 |
| Broker | 16.40 |
| Broker | 6.39 |
| Broker | 1.90 |
| Broker | 9.49 |
| Broker | 6.70 |
| Broker | 0.19 |
| Broker | 12.39 |
| Broker | 6.54 |
| Broker | 10.92 |
| Broker | 2.15 |
| Broker | 4.36 |
| Broker | 11.07 |
| Broker | 9.24 |
| Broker | 2.67 |
| Broker | 8.97 |
| Broker | 1.87 |
| Broker | 1.53 |
| Broker | 5.23 |
| Broker | 6.87 |
| Broker | 1.69 |
| Broker | 9.43 |
| Broker | 8.31 |
| Broker | 3.99 |
| Broker | 4.44 |
| Broker | 8.63 |
| Broker | 7.06 |
| Broker | 1.57 |
| Broker | 8.44 |
| Broker | 5.72 |
| Broker | 6.95 |
In: Math
Complete this vocabulary
1-p-hat
2-sample
3-chance model
4-Statistic ( not statistics )
5-Simulate
6-Strength of evidence
7-Observational units
8-Variable
9-Parameter
10- Plausible
In: Math
The life time X of a component, costing $1000, is modelled using an exponential distribution with a mean of 5 years. If the component fails during the first year, the manufacturer agrees to give a full refund. If the component fails during the second year, the manufacturer agrees to give a 50% refund. If the component fails after the second year, but before the fifth year the manufacturer agrees to give a 10% refund.
(a) What is the probability that the component lasts more than 1 year?
(b) What is the probability that the component lasts between 2 years and 5 years?
(c) A particular component has already lasted 1 year. What is the probability that it will last at least 5 years, given it has already lasted 1 year?
(d) If the manufacturer sells one component, what should they expect to pay in refunds?
(e) If the manufacturer sells 1000 components, what should they expect to pay in refunds?
In: Math
a. By hand, make an ordered stemplot of the distribution of the variable MothersAge for the female students. Show both your rough and final version of the stemplot. Use stems of five (See the Notes for an explanation of what stems of five are). There are 63 female students.
Mother's age 18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,51
Female 1, 0, 2, 2, 3, 4, 7, 3, 2, 4, 7, 1, 6, 4, 5, 3, 1, 4, 0, 1, 1, 1, 0, 1, 0
Use the stem and leaf plots that you previously created to help you draw and label histograms on your scratch paper with bin width of 2 for mothers's age at birth of female students and for mother's age at birth of male students. Make the lower bound of your first bin 16.
Comment: Bin width of 2 is not a typo. Yes, your stem and leaf plot has bins of 5 so some thinking is required, but at least your stem and leaf plot has the values in order for you.
In: Math