The following table shows the approximate numbers of school goers in the United States (residents who attended some educational institution) in 1998, broken down by age group. Age 3−6.9 7−12.9 13−16.9 17−22.9 23−26.9 27−42.9 Population (millions) 8 22 15 13 3 5 Use the rounded midpoints of the given measurement classes to compute the probability P distribution of the age X of a school goer. (Round probabilities to four decimal places.)
Age 5 10 15 20 25 35 P(X = x) Compute the expected value of X, E(X). (Round your answer to one decimal place.)
E(X) = What information does the expected value give about residents enrolled in schools? (Round your answer to one decimal place.) In 1998, was years old.
In: Statistics and Probability
Interpret the tables below: R, R square
interpret the regression coefficients, either b or beta.
|
Model Summaryb |
|||||
|
Model |
R |
R Square |
Adjusted R Square |
Std. Error of the Estimate |
Durbin-Watson |
|
1 |
.625a |
.390 |
.390 |
17.5048 |
1.978 |
|
a. Predictors: (Constant), HIGHEST YEAR OF SCHOOL COMPLETED, FAMILY INCOME IN CONSTANT DOLLARS |
|||||
|
b. Dependent Variable: R's socioeconomic index (2010) |
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|
Coefficientsa |
||||||||
|
Model |
Unstandardized Coefficients |
Standardized Coefficients |
t |
Sig. |
Collinearity Statistics |
|||
|
B |
Std. Error |
Beta |
Tolerance |
VIF |
||||
|
1 |
(Constant) |
-9.124 |
1.774 |
-5.142 |
.000 |
|||
|
FAMILY INCOME IN CONSTANT DOLLARS |
.000 |
.000 |
.252 |
13.859 |
.000 |
.829 |
1.207 |
|
|
HIGHEST YEAR OF SCHOOL COMPLETED |
3.550 |
.136 |
.476 |
26.168 |
.000 |
.829 |
1.207 |
|
|
a. Dependent Variable: R's socioeconomic index (2010) |
||||||||
In: Statistics and Probability
For each of the following, tell whether the population parameter of interest is µ or p.
A. In a survey, 36 males from NC State were asked their weight. Their average weight was 195.8 lbs with a standard deviation of 30.3 lbs. What is the average weight of males attending NC State?
B. From a poll of 2,419 people who downloaded music illegally from the internet, only 2 reported that they were pirates. What proportion of people who download music illegally self-report as pirates?
C. A recent study of 411 high-school students found that the average daily time they spent on cell phones was 100 minutes. What is the average daily time spent on cell phones among all students at the high school?
Please tell me the answers for A-C, if it's µ or p, and how you know? Thanks!
In: Statistics and Probability
You have been contracted by the government of your country to provide recommendations on the regulation of the national textile industry. Currently, the textile industry which resembles features of the perfectly competitive market is completely unregulated. Using the concepts covered in the class, please provide your advice to the problems below.
a. Provide rewards for children who attend school [2pt]
b. Impose fines on employers who employ children [2pt]
In: Economics
In: Statistics and Probability
1. Determine whether to use zα /2 or tα /2 . Find the critical value.
Given n = 8 and s = 3 for a 95% confidence interval.
2. Find tα /2 with n = 24 for a 98% confidence interval.
3. In a study of 100 middle school children, the mean number of hours weekly spent playing video games was 15 hours with a standard deviation of 2 hours. Find the point estimate for the true mean number of hours weekly that middle school children spent playing video games.
4.
A survey of 40 parents found that 80% were worried about their kids spending too much time texting. Find the point estimate p-hat for the population proportion. Also, find the value of q-hat.
Type your answer in a form :
p-hat= , q-hat =
In: Statistics and Probability
In a school district, all sixth grade students take the same standardized test. The superintendant of the school district takes a random sample of 25 scores from all of the students who took the test. She sees that the mean score is 170 with a standard deviation of 4.0774. The superintendant wants to know if the standard deviation has changed this year. Previously, the population standard deviation was 13. Is there evidence that the standard deviation of test scores has decreased at the α=0.025 level? Assume the population is normally distributed.
Step 2 of 5 :
Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places.
Step 3 of 5: Determine the value of the test statistic. Round your answer to three decimal places.
Step 4 of 5: Make the decision.
Step 5 of 5: What is the conclusion?
In: Statistics and Probability
The table below gives the number of hours spent unsupervised each day as well as the overall grade averages for seven randomly selected middle school students. Using this data, consider the equation of the regression line, yˆ=b0+b1x, for predicting the overall grade average for a middle school student based on the number of hours spent unsupervised each day. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant.
| Hours Unsupervised | 0 | 3 | 4 | 4.5 | 5 | 5.5 | 6 |
|---|---|---|---|---|---|---|---|
| Overall Grades | 83 | 78 | 70 | 69 | 67 | 64 |
63 |
Step 5 of 6 :
Find the estimated value of y when x=0. Round your answer to three decimal places.
In: Statistics and Probability
The table below gives the number of hours spent unsupervised each day as well as the overall grade averages for seven randomly selected middle school students. Using this data, consider the equation of the regression line, yˆ=b0+b1x for predicting the overall grade average for a middle school student based on the number of hours spent unsupervised each day. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant.
| Hours Unsupervised | 2 | 2.5 | 3 | 3.5 | 4.5 | 5 | 5.5 |
|---|---|---|---|---|---|---|---|
| Overall Grades | 98 | 85 | 76 | 74 | 68 | 65 | 61 |
Step 6 of 6 : Find the value of the coefficient of determination. Round your answer to three decimal places.
In: Statistics and Probability
1. A survey of 500 high school students was taken to determine their favorite chocolate candy. Of the 500 students surveyed, 64 like Snickers, 125 like Twix, 141 like Reese's Peanut Butter Cups, 30 like Snickers and Twix, 61 like Twix and Reese's Peanut Butter Cups, 43 like Snickers and Reese's Peanut Butter Cups, and 18 like all three kinds of chocolate candy. How many students like Twix and Reese's Peanut Butter Cups only?
2. A survey of 391 children given at a local elementary school showed that 200 like chocolate ice cream, 175 like pistachio ice cream, and 141 do not like chocolate or pistachio ice cream. How many children like at most one kind of ice cream mentioned in the survey?
In: Advanced Math