In: Statistics and Probability
A some association On-Line Discount Broker Survey polls members on their experiences with discount brokers. As part of the survey, members were asked to rate the quality of the speed of execution with their broker as well as provide an overall satisfaction rating for electronic trades. Possible responses (scores) were no opinion (0), unsatisfied (l), somewhat satisfied (2), satisfied (3), and very satisfied (4). For each broker summary scores were computed by calculating a weighted average of the scores provided by each respondent. A portion of the survey results follow
Brokerage | Speed | Satisfaction |
Scottrade, Inc. | 3.6 | 3.3 |
Charles Schwab | 3.2 | 3.4 |
Fidelity Brokerage Services | 3.7 | 3.8 |
TD Ameritrade | 2.7 | 2.5 |
E*Trade Financial | 3.8 | 3.3 |
Vanguard Brokerage Services | 3.2 | 3.6 |
USAA Brokerage Services | 3.8 | 3.9 |
Thinkorswim | 2.7 | 2.9 |
Wells Fargo Investments | 2.9 | 2.4 |
Interactive Brokers | 3.9 | 3.4 |
Zecco.com | 3.6 | 3.1 |
b. What does the scatter diagram developed in part (a) indicate
about the relationship between the two variables? The scatter
diagram indicates a _______ linear relationship between speed of
execution rating and overall satisfaction rating for electronic
trades.
c. Develop the least squares estimated regression equation. Enter
negative value as negative number.
Satisfaction = ____ + ____ speed?
(to 4 decimals)
d. Provide an interpretation for the slope of the estimated
regression equation (to 4 decimals).
The slope of the estimated regression line is approximately ______.
So, a one unit ________in the speed of execution rating will
increase the overall satisfaction rating by
approximately_______points.
e. Suppose Thinkorswim developed new software to increase their speed of execution rating. If the new software is able to increase their speed of execution rating from the current value of 2.7 to the average speed of execution rating for the other 10 brokerage firms that were surveyed, what value would you predict for the overall satisfaction rating? ____________ (to 3 decimals)
In: Statistics and Probability
This question is for my last discussion topic in Math225N - Statistical Reasoning for the Health Sciences at Chamberlain. We rely heavily on statistics and statistical research in the health and helping professions. The outcomes from this work help us identify the best methods for helping and caring for clients and patients. Discuss at least two concepts from the course that you can use in your future career. Be sure to state the concept, how you would use it, and why that approach would be the best approach for the situation.
In: Statistics and Probability
give example related in civil engineering on how to use the concept of normal distribution.
In: Statistics and Probability
The following estimated regression equation based on 10 observations was presented.
ŷ = 27.1570 + 0.5107x1 + 0.4940x2
Here, SST = 6,722.125, SSR = 6,223.375,
sb1 = 0.0811,
and
sb2 = 0.0569.
(a)
Compute MSR and MSE. (Round your answers to three decimal places.)
MSR=MSE=
(b)
Compute F and perform the appropriate F test. Use α = 0.05.
State the null and alternative hypotheses.
H0: β1 > β2 |
Ha: β1 ≤ β2 |
H0: β1 = β2 = 0 |
Ha: One or more of the parameters is not equal to zero. |
H0: β1 ≠ 0 and β2 = 0 |
Ha: β1 = 0 and β2 ≠ 0 |
H0: β1 ≠ 0 and β2 ≠ 0 |
Ha: One or more of the parameters is equal to zero. |
H0: β1 < β2 |
Ha: β1 ≥ β2 |
Find the value of the test statistic. (Round your answer to two decimal places.)
F =
Find the p-value. (Round your answer to three decimal places.)
p-value =
State your conclusion.
Reject H0. There is sufficient evidence to conclude that the overall model is significant.Do not reject H0. There is sufficient evidence to conclude that the overall model is significant. Reject H0. There is insufficient evidence to conclude that the overall model is significant.Do not reject H0. There is insufficient evidence to conclude that the overall model is significant.
(c)
Perform a t test for the significance of
β1.
Use α = 0.05.
State the null and alternative hypotheses.
H0: β1 = 0 |
Ha: β1 > 0 |
H0: β1 = 0 |
Ha: β1 ≠ 0 |
H0: β1 < 0 |
Ha: β1 ≥ 0 |
H0: β1 ≠ 0 |
Ha: β1 = 0 |
H0: β1 > 0 |
Ha: β1 ≤ 0 |
Find the value of the test statistic. (Round your answer to two decimal places.)
t =
Find the p-value. (Round your answer to three decimal places.)
p-value =
State your conclusion.
Reject H0. There is insufficient evidence to conclude that β1 is significant.Do not reject H0. There is sufficient evidence to conclude that β1 is significant. Do not reject H0. There is insufficient evidence to conclude that β1 is significant.Reject H0. There is sufficient evidence to conclude that β1 is significant.
(d)
Perform a t test for the significance of
β2.
Use α = 0.05.
State the null and alternative hypotheses.
H0: β2 < 0 |
Ha: β2 ≥ 0 |
H0: β2 = 0 |
Ha: β2 ≠ 0 |
H0: β2 > 0 |
Ha: β2 ≤ 0 |
H0: β2 = 0 |
Ha: β2 > 0 |
H0: β2 ≠ 0 |
Ha: β2 = 0 |
Find the value of the test statistic. (Round your answer to two decimal places.)
t =
Find the p-value. (Round your answer to three decimal places.)
p-value =
State your conclusion.
Reject H0. There is insufficient evidence to conclude that β2 is significant.Reject H0. There is sufficient evidence to conclude that β2 is significant. Do not reject H0. There is insufficient evidence to conclude that β2 is significant.Do not reject H0. There is sufficient evidence to conclude that β2 is significant.
In: Statistics and Probability
The data in the following table show the association between cigar smoking and death from cancer for 138,033 men. Note: current cigar smoker means cigar smoker at time of death.
Died From Cancer | Did Not Die from Cancer | |
Never smoked Cigars | 673 | 124,044 |
Former Cigar Smoker | 95 | 7,801 |
Current Cigar Smoker | 151 | 5,269 |
(A) If an individual is randomly selected from this study, what is the probability that he died from cancer?
(Round to three decimal places as needed.)
(B) If an individual is randomly selected from this study, what is the probability that he was a current cigar smoker?
(Round to three decimal places as needed.)
(C) If an individual is randomly selected from this study, what is the probability that he died from cancer and was a current cigar smoker.
(Round to three decimal places as needed.)
(D) If an individual is randomly selected from this study, what is the probability that he died from cancer or was a current smoker?
(Round to three decimal places as needed.)
In: Statistics and Probability
For each sentence below, decide whether it is an atomic statement, a molecular statement, or not a statement at all.
1. There is a scary clown behind you.
2. There is a scary clown behind you and he is juggling.
3. Watch out!
Classify each of the sentences below as an atomic statement, a molecular statement, or not a statement at all. If the statement is molecular, say what kind it is (conjuction, disjunction, conditional, biconditional, negation).
1. The sum of the first 10 squares.
2. Go to your room!
3. Everybody can be fooled sometimes.
4. Every even number is divisible by 2
5. Are we human or are we dancers?
Determine whether each molecular statement below is true or false, or whether it is impossible to determine. Assume you do not know what my favorite number is (but you do know which numbers are prime).
1. If 18 is not prime, then 18 is my favorite number.
2. If 18 is my favorite number, then 18 is prime.
3. 18 is my favorite number or 3 is not my favorite number.
4. If 3 is not prime, then 3 is my favorite number.
5. If 18 is prime, then 2⋅182⋅18 is prime
6. 18 is prime or 3 is prime
In my safe is a sheet of paper with two shapes drawn on it in colored crayon. One is a circle, and the other is a square. Each shape is drawn in a single color. Suppose you believe me when I tell you that, if the circle is green, then the square is orange. What do you therefore know about the truth value of the following statements?
1. The circle is not green or the square is orange.
2. The circle and the square are both green.
3. The circle the square are both orange.
4. If the square is orange, then the circle is green.
5. If the square is not orange, then the circle is not green.
Suppose the statement, "if the circle is red, then the square is yellow," is true. Assume also that the converse is false. Classify each statement below as true or false (if possible).
1. The circle is red.
2. The circle is red if and only if the square is not yellow.
3. The circle is red if and only if the square is yellow.
4. The square is yellow.
Consider the statement, "If you will give me magic beans, then I will give you a cow." Decide whether each statement below is the converse, the contrapositive, or neither.
1. You will give me magic beans and I will not give you a cow.
2. If you will give me magic beans, then I will not give you a cow.
3. If I will give you a cow, then you will not give me magic beans.
4. If I will give you a cow, then you will give me magic beans.
5. If you will not give me magic beans, then I will not give you a cow.
6. If I will not give you a cow, then you will not give me magic beans.
In: Statistics and Probability
The huge market that exists for golf balls can be partially attributed to the fact that golfers lose them at an average rate of 3 per 18-hole round. Assume that the number of golf balls lost in an 18-hole round is distributed as a Poisson random variable. What is the probability that: No balls will be lost in an 18-hole round? 5 or fewer will be lost in an 18-hole round? 2 or fewer will be lost in a 9-hole round? 3 or fewer will be lost in a 36-hole round?
In: Statistics and Probability
Q.4 A researcher is interested in whether people’s level of loneliness would vary as a function of their relationship status (single vs. in a relationship), and how such difference might depend on whether people own a pet or not. She recruited a group of participants, asking them about their relationship status, pet ownership, and the perceived level of loneliness. The data are as below, with a higher number denoting greater level of loneliness:
Single/ no pet | In a Relationship/ no pet | Single/ have pet | In a Relationship/ have pet | |
Case 1 | 8 | 4 | 5 | 3 |
Case 2 | 7 | 2 | 4 | 4 |
Case 3 | 8 | 3 | 4 | 2 |
Case 4 | 6 | 4 | 3 | 3 |
Conduct a proper statistical test by hand calculation to test the hypotheses in b., with 5% as the level of significance (α). (For this exercise, the data assumptions of your chosen statistical test can be taken as reasonably met.) Show your calculation formulae and steps. In case you decide to conduct an ANOVA, you are not required to conduct any post-hoc comparisons. Decide whether to reject the null hypothesis or not for each effect and state the basis of your decision.
*Sorry, reuploaded the question because I wrote the wrong numbers
In: Statistics and Probability
In: Statistics and Probability
Find the mean of the data in the given frequency distribution. Compare the computed mean to the actual mean of 55.6 degrees.
Low Temperature (F degrees) | 40-44 45-49 50-54 55-59 60-64 |
FRequency | 2 5 11 4 1 |
The mean of the frequency distribution is _____ degrees.
(round to the nearest tenth as needed.)
In: Statistics and Probability
GAGE R & R EXERCISE in this example, we do a gage R&R study on two data sets: one in which measurement system variation contributes little to the overall observed variation (GAGEAIAG.MTW), and one in which measurement system variation contributes a lot to the overall observed variation (GAGE2.MTW). For comparison, we analyze the data using both the ANOVA and the Xbar and R method. The GAGEAIAG data was taken from Measurement Systems Analysis Reference Manual, 3rd edition. (Chrysler, Ford, General Motors Supplier Quality Requirements Task Force). Ten parts were selected that represent the expected range of the process variation. Three operators measured the ten parts, three times per part, in a random order. For the GAGE2 data, three parts were selected that represent the expected range of the process variation. Three operators measured the three parts, three times per part, in a random order Part 1: Use the ANOVA method with GAGEAIAG data 1 Open the worksheet GAGEAIAG.MTW. 2 Choose Stat > Quality Tools > Gage Study > Gage R&R Study (Crossed). 3 In Part numbers, enter Part. 4 In Operators, enter Operator. 5 In Measurement data, enter Measurement. 6 Under Method of Analysis, choose ANOVA. 7 Click Options. Under Process tolerance, choose Upper spec - Lower spec and enter 8. 8 Click OK in each dialog box. Answer the following questions 1. In the session window output, what is the percent contribution for part-to-part? _____ 2. In the session window output, what is the percent contribution for total Gage R & R? _____ 3. After answer questions 1 and 2 above, which do you, believe causes more of the variation, part-to- part or the measuring system? ________________________________ 4. If you knew that according to Automobile Industry Action Group (AIAG) that you can determine whether or not your measurement system is acceptable using the following guidelines. If the Total Gage R&R percentage in the %Study Var column (% Tolerance, %Process) is: PAGE 1 Gage R & R EXERCISE Less than 10% - the measurement system is acceptable Between 10% and 30% - the measurement system is acceptable depending on the application, the cost of the measuring device, cost of repair, or other factors Greater than 30% - the measurement system is unacceptable and should be improved If you are looking at the % Contribution column, the corresponding standards are: Less than 1% - the measurement system is acceptable Between 1% and 9% - the measurement system is acceptable depending on the application, the cost of the measuring device, cost of repair, or other factors. What have you determined about this measurement system based on the %Study Var column for total Gage R &R?___________________________________________________ _________________________________________________________________ 5. Looking at the graph window output, what does the components of variation graph in the top upper left hand corner indicate?__________________________________________________ __________________________________________________________________________ 6. Looking at the measurement by operator graph, which operator seems to measure differently than the others? ________________ Step 2: Use the ANOVA method with GAGE2 data 1 Open the file GAGE2.MTW. 2 Choose Stat > Quality Tools > Gage Study > Gage R&R Study (Crossed). 3 In Part numbers, enter Part. 4 In Operators, enter Operator. 5 In Measurement data, enter Response. 6 Under Method of Analysis, choose ANOVA. 7 Click OK. PAGE 2 GAGE R & R EXERCISE Answer the following questions 1. In the session window output, what is the percent contribution for Total Gage R&R? _____ 2. In the session window output, what is the percent contribution for total part-to-part? _____ 3. After answer questions 1 and 2 above, which do you, believe causes more of the variation, part-to- part or the measuring system? ________________________________ 4. If you knew that according to Automobile Industry Action Group (AIAG) that you can determine whether or not your measurement system is acceptable using the (criteria from part 1) What have you determined about this measurement system based on the %Study Var column for total Gage R &R?___________________________________________________ 5. Looking at the graph window output, what does the components of variation graph in the top upper left hand corner indicate?__________________________________________________ __________________________________________________________________________ 6. Looking at the repsonse by operator graph, which operator seems to measure differently than the others? ________________
NOTE: Answers must be typed please
In: Statistics and Probability
Use the regression equation to predict the number of motor vehicle fatalities in a western state with a population of 4 million people (40 hundred thousand people). Does this answer seem reasonable based on the given data? Why or why not?
Motor Vehicle Fatalities | Population (hundreds of thousands) |
87 | 7 |
1117 | 50 |
742 | 47 |
119 | 13 |
264 | 14 |
270 | 9 |
381 | 24 |
449 | 19 |
436 | 36 |
328 | 25 |
659 | 63 |
176 | 5 |
In: Statistics and Probability
suppose given the three pairwise independent events, all three of which cannot simultaneously occur. Assuming that they all have the same probability x , determine the largest possible value of x.
plz give the steps thx
In: Statistics and Probability
ANOVA Table
Source of variation |
Sum of Squares (SS) |
Degrees of freedom |
Mean Square (MS) |
F |
Treatment |
93.3 |
2.0 |
46.67 |
8.75 |
Error |
64.0 |
12.0 |
5.33 |
|
Total |
157.3 |
14 |
SAT scores - 2017
Student |
Reading |
Math |
Writing |
1 |
453 |
458 |
465 |
2 |
456 |
458 |
459 |
3 |
454 |
460 |
457 |
4 |
458 |
455 |
461 |
5 |
454 |
454 |
463 |
mean |
455 |
457 |
461 |
In: Statistics and Probability