In an effort to estimate the percentage of households that watch movies online, a survey was conducted this year. The responses showed that 250 households out of 1000 watch movies online, and the interval estimate at 98% was [.20,.30]. If the analyst had used a larger sample size and the same level of confidence, which of the following should have been the new interval? (assume none of the samples were biased)
Question options: [.18,.32] [.22,.28] [.10,.20] [.30,.40]
In: Statistics and Probability
The population of Americans age 55 and older as a percentage of the total population is approximated by the function f(t) = 10.72(0.9t + 10)0.3 (0 ≤ t ≤ 20) where t is measured in years, with t = 0 corresponding to the year 2000.† (Round your answers to one decimal place.) At what rate was the percentage of Americans age 55 and older changing at the beginning of 2003? % per year At what rate will the percentage of Americans age 55 and older be changing in 2018? % per year What will be the percentage of the population of Americans age 55 and older in 2018? %
In: Advanced Math
The following information is available on the percentage rates of return on various assets for the last three years. You determine that this is a sample which is representative of the data population for these securities.
Security Year 1
| Security | Year 1 | Year 2 | Year 3 |
| Stock A | 6% | 18% | 60% |
| Stock B | 32% | 22% | 32% |
| Market | 50% | 12% | 20% |
| Government Bonds | 10% | 10% | 10% |
(a) Consider only shares A and B for this part. Compute the portfolio weights that yield the portfolio of A and B which has the lowest possible standard deviation. Then compute that portfolio’s expected return and standard deviation. Hint: Write down the formula for this, then compute all the ingredients you require.
In: Finance
A MSCI survey showed that there continues to be a slow increase in the overall percentage of women on boards of directors globally. The study reported that 7 of 22 (32%) Austrian companies sampled, 86 of 103 (83%) French companies sampled, 40 of 92 (43%) German companies sampled, 5 of 31 (16%) Irish companies sampled, and 37 of 55 (67%) Italian companies sampled have at least three female directors on their boards.
|
Austrian |
French |
German |
Irish |
Italian |
Total |
|
|
At least 3 |
7 |
86 |
40 |
5 |
37 |
175 |
|
Less than 3 |
15 |
17 |
52 |
26 |
18 |
128 |
|
Total |
22 |
103 |
92 |
31 |
55 |
30 |
In: Statistics and Probability
The variables collected for this sample are average starting salary upon graduation ($), the percentage of applicants to the full-time program who were accepted, the average GMAT test score of students entering the program, program per-year tuition ($), and percent of students with job offers at time of graduation.
Build at least five different multiple regression models with different combinations of predictors and transformations. Provide the regression equation for each model and its Adjusted R2 and F statistic.
| University | Tuition per year ($) | Average GMAT score | Acceptance Rate (%) | Graduates employed at graduation (%) | Average starting salary and bonus ($) |
| 1 | 61875 | 732 | 7.1 | 73.6 | 142834 |
| 2 | 58875 | 726 | 11.0 | 76.9 | 144750 |
| 3 | 62424 | 728 | 20.7 | 84.3 | 142574 |
| 4 | 61520 | 724 | 23.5 | 87.4 | 137615 |
| 5 | 63454 | 713 | 13.8 | 79.6 | 142936 |
| 6 | 61596 | 713 | 23.2 | 80.7 | 136357 |
| 7 | 63148 | 716 | 18.2 | 75.7 | 139006 |
| 8 | 61605 | 716 | 22.1 | 83.8 | 142489 |
| 9 | 60744 | 721 | 18.1 | 74.9 | 135933 |
| 10 | 58000 | 690 | 25.1 | 81.8 | 137154 |
| 11 | 58975 | 719 | 23.7 | 69.4 | 126871 |
| 12 | 58192 | 692 | 30.0 | 79.6 | 132316 |
| 13 | 51500 | 699 | 26.7 | 84.5 | 111974 |
| 14 | 58300 | 687 | 31.2 | 75.5 | 131865 |
| 15 | 48100 | 678 | 30.7 | 81.7 | 128347 |
| 16 | 52200 | 691 | 47.4 | 70.3 | 118938 |
| 17 | 46800 | 686 | 34.8 | 71.7 | 115694 |
| 18 | 51786 | 684 | 31.6 | 64.4 | 114129 |
| 19 | 47950 | 688 | 41.3 | 77.1 | 113830 |
In: Statistics and Probability
A political pollster wants to see if the percentage of the population that is non-white in a state is related to the percentage of the states's votes that Barack Obama received in the 2012 presidential election.
explanatory variable = x =
response variable = y =
Which variable is x and which variable is y?
In: Statistics and Probability
The percentage of students with a GPA of 3.0 or higher is 15%. Suppose the random variable X represents the total number of students with a GPA of 3.0 or higher in a random sample of 500 students.
a) Find the mean of X. (round to the nearest whole number)
b) Find the standard deviation of X. (round to the nearest whole number)
c) Determine the shape of the distribution for X. (letter only)
A) skewed-left, since p > .5 and n is small.
B) skewed-right, since p < .5 and n is small.
C) bell-shaped, since p = .5 and n is small.
D) normal, since n ⋅ p ⋅ ( 1 − p ) ≥ 10.
d) Based on your answers from parts (a)-(c), would it be unusual for 80 students in the sample to have a GPA of 3.0 or higher. (letter only)
A) Yes, since P ( 80 ) < .05
B) Yes, since 80 is more than 2 standard deviations away from the mean
C) No, since 80 is within 2 standard deviations of the mean
D) No, since anyone can get a 3.0 or higher.
E) No, since P ( 80 ) ≥ .05.
e) Based on your answers from parts (a)-(c), would it be unusual for 95 students in the sample to have a GPA of 3.0 or higher. (letter only)
A) Yes, since P ( 95 ) < 0.05.
B) Yes, since 95 is more than 2 standard deviations away from the mean.
C) No, since 95 is within 2 standard deviations of the mean.
D) No, since anyone can get a 3.0 or higher.
E) No, since P ( 95 ) ≥ .05.
In: Statistics and Probability
What is the percentage markup on a proposal as a percent if the fixed bid price offered is 552,000 and the sum of direct cost is 480,000?
The calendar day duration of a project is planned for 19 days based on a Monday through Friday work week. How many work days were available in this period if the start of the project was on the last Monday in July 2020?
What is the forecasted total project cost if the reported cost experience continues to the end that started with a total budgeted cost of 420,000 and a progress report gives the actual cost to date of 280,000 and earned value of 300,000?
A fixed price contract totaling 320,000 had actual cost 5% higher than estimated. The proposal had a profit of 15.0%. What is the new profit margin percent?
A fixed price contract including a profit of 340,000 totals 4.6 million with no reserve. In a progress report the CEV was given as 2.75 million and actual cost was 2.8 million. What is the forecasted (estimated) profit in units of currency using forecasting based on the assumption that cost performance on the contract to date will continue for the remainder of the project?
A negative 4 days slack for an activity in a project where the activity has an ES of 18 and duration of 10 means the activity has an LF of ____ .
In: Accounting
In a study of the role of young drivers in automobile accidents, data on percentage of licensed drivers under the age of 21 and the number of fatal accidents per 1000 licenses were determined for 32 cities. The data are stored in Table B. The first column contains a number as the city code, the second column contains the percentage of drivers who are under 21, and the third column contains the number of fatal accidents per 1000 drivers. The primary interest is whether or not the number of fatal accidents is dependent upon the proportion of licensed drivers that are under 21.
| City Number | % of drivers under 21 | # of fatal accidents per 1000 drivers |
| 1 | 5 | 0 |
| 2 | 5 | 0 |
| 3 | 5 | 0 |
| 4 | 13 | 2.029 |
| 5 | 17 | 5.12 |
| 6 | 7 | 0.468 |
| 7 | 13 | 1.463 |
| 8 | 14 | 3.412 |
| 9 | 8 | 2.104 |
| 10 | 15 | 3.146 |
| 11 | 11 | 2.081 |
| 12 | 14 | 3.612 |
| 13 | 11 | 2.117 |
| 14 | 12 | 2.758 |
| 15 | 9 | 1.819 |
| 16 | 8 | 1.483 |
| 17 | 14 | 3.211 |
| 18 | 10 | 1.157 |
| 19 | 10 | 0.871 |
| 20 | 9 | 1.34 |
| 21 | 15 | 2.751 |
| 22 | 6 | 0 |
| 23 | 9 | 0.712 |
| 24 | 12 | 1.93 |
| 25 | 17 | 3.899 |
| 26 | 4 | 0 |
| 27 | 14 | 2.992 |
| 28 | 9 | 0.577 |
| 29 | 8 | 1.819 |
| 30 | 11 | 2.218 |
| 31 | 9 | 1.075 |
| 32 | 15 | 2.105 |
Regression analysis, where one variable depends on another, can be used to predict levels of a dependent variable for specified levels of an independent variable. Use the EXCEL REGRESSION command to calculate the intercept and slope of the least‑squares line, as well as the analysis of variance associated with that line. Fill in the following table and use the results to answer the next few questions. Carefully choose your independent and dependent variables and input them correctly using EXCEL’s regression command. In this example, the percentage of drivers under the age of 21 affects the number of Fatals/1000 licenses.
The regression equation (least‑squares line) is
Fatals/1000 licenses = + % under 21
(intercept) (slope)
Analysis of variance
Source DF SS MS F P
Regression 1 ________ _______ ________ _______
Residual (Error) 30 ________ _______
|
10. What is the estimated increase in number of fatal accidents per 1000 licenses due to a one percent increase in the percentage of drivers under 21 (i.e. the slope)? |
|
11. What is the standard deviation of the estimated slope? |
|
12. What is the estimated number of fatal accidents per 1000 licenses if there were no drivers under the age of 21 (i.e. the y intercept)? |
|
13. What percentage of the variation in accident fatalities can be explained by the linear relationship with drivers under 21 (i.e. 100 ´ the unadjusted coefficient of determination)? |
In: Statistics and Probability
You are curious if there is a difference between men and woman for the approval percentage of a politician. Out of 400 men 307 approve and out of 500 women 340 approve.
(A) Find a 95% confidence interval for diffrence in proportion of men and women of the political candidate
(B) Does Your interval overlap 0? What does this signify?
(C) At the 5% significance level, test the claim that the proportion of men vs woman who approve of the politician is the same. Does this indicate the support is same among men and women ?
In: Statistics and Probability