Major Funds

Lenox County provides the following information on its governmental and enterprise funds:

In the governmental funds financial statements, which of these funds are reported separately as major funds?

Calculate the thresholds:

51% of students entering four-year colleges receive a degree within six years. Is this percent different from for students who play intramural sports? 120 of the 230 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.05?

1. For this study, we should use Select an answer t-test for a population mean z-test for a population proportion
2. The null and alternative hypotheses would be:
   Ho: ? μ p  Select an answer ≠ > < =   (please enter a decimal)   
   H₁: ? μ p  Select an answer > = ≠ <   (Please enter a decimal)

3. The test statistic ? z t  =  (please show your answer to 3 decimal places.)
4. The p-value =  (Please show your answer to 4 decimal places.)
5. The p-value is ? ≤ >  αα
6. Based on this, we should Select an answer accept reject fail to reject  the null hypothesis.
7. Thus, the final conclusion is that ...
   • The data suggest the populaton proportion is significantly different from 51% at αα = 0.05, so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is different from 51%
   • The data suggest the population proportion is not significantly different from 51% at αα = 0.05, so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is equal to 51%.
   • The data suggest the population proportion is not significantly different from 51% at αα = 0.05, so there is not sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is different from 51%.
8. Interpret the p-value in the context of the study.
   • If the population proportion of students who played intramural sports who received a degree within six years is 51% and if another 230 students who played intramural sports are surveyed then there would be a 72.18% chance that either more than 52% of the 230 studetns surveyed received a degree within six years or fewer than 50% of the 230 students surveyed received a degree within six years.
   • If the sample proportion of students who played intramural sports who received a degree within six years is 52% and if another 230 voters are surveyed then there would be a 72.18% chance that we would conclude either fewer than 51% of all students who played intramural sports received a degree within six years or more than 51% of all students who played intramural sports received a degree within six years.
   • There is a 72.18% chance that the percent of all students who played intramural sports who received a degree within six years differs from 51%.
   • There is a 72.18% chance of a Type I error.
9. Interpret the level of significance in the context of the study.
   • If the population proportion of students who played intramural sports who received a degree within six years is 51% and if another 230 students who played intramural sports are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of all students who played intramural sports who received a degree within six years is different from 51%
   • There is a 5% chance that the proportion of all students who played intramural sports who received a degree within six years is different from 51%.
   • If the population proportion of students who played intramural sports who received a degree within six years is different from 51% and if another 230 students who played intramural sports are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of all students who played intramural sports who received a degree within six years is equal to 51%.
   • There is a 5% chance that aliens have secretly taken over the earth and have cleverly disguised themselves as the presidents of each of the countries on earth.

50% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 118 of the 218 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.05?

1. For this study, we should use Select an answer t-test for a population mean z-test for a population proportion
2. The null and alternative hypotheses would be:
   Ho: ? p μ  Select an answer > ≠ < =   (please enter a decimal)   
   H₁: ? p μ  Select an answer = < ≠ >   (Please enter a decimal)

3. The test statistic ? z t  =  (please show your answer to 3 decimal places.)
4. The p-value =  (Please show your answer to 4 decimal places.)
5. The p-value is ? ≤ >  αα
6. Based on this, we should Select an answer reject fail to reject accept  the null hypothesis.
7. Thus, the final conclusion is that ...
   • The data suggest the populaton proportion is significantly larger than 50% at αα = 0.05, so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is larger than 50%
   • The data suggest the population proportion is not significantly larger than 50% at αα = 0.05, so there is not sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is larger than 50%.
   • The data suggest the population proportion is not significantly larger than 50% at αα = 0.05, so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is equal to 50%.
8. Interpret the p-value in the context of the study.
   • There is a 11.14% chance that more than 50% of all students who played intramural sports received a degree within six years.
   • If the sample proportion of students who played intramural sports who received a degree within six years is 54% and if another 218 students who played intramural sports are surveyed then there would be a 11.14% chance of concluding that more than 50% of all students who played intramural sports received a degree within six years.
   • If the population proportion of students who played intramural sports who received a degree within six years is 50% and if another 218 students who played intramural sports are surveyed then there would be a 11.14% chance that more than 54% of the 218 students surveyed received a degree within six years
   • There is a 11.14% chance of a Type I error.
9. Interpret the level of significance in the context of the study.
   • If the population proportion of students who played intramural sports who received a degree within six years is 50% and if another 218 students who played intramural sports are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of all students who played intramural sports who received a degree within six years is larger than 50%
   • There is a 5% chance that the proportion of all students who played intramural sports who received a degree within six years is larger than 50%.
   • There is a 5% chance that aliens have secretly taken over the earth and have cleverly disguised themselves as the presidents of each of the countries on earth.
   • If the population proportion of students who played intramural sports who received a degree within six years is larger than 50% and if another 218 students who played intramural sports are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of all students who played intramural sports who received a degree within six years is equal to 50%.

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4. The number of students arriving at a university’s health center is Poisson distributed with a mean of 4.5 students
per hour. Use the appropriate formulas provided in class to determine the probability that:
a. four students will arrive at the health center in the next hour.
b. more than 10 minutes will elapse between student arrivals at the health center.

The grade appeal process at a university requires that a jury be structured by selecting

eight

individuals randomly from a pool of

eight

students and

twelve

faculty.​ (a) What is the probability of selecting a jury of all​ students? (b) What is the probability of selecting a jury of all​ faculty? (c) What is the probability of selecting a jury of

four

students and

four

​faculty?

A study was being done to estimate the proportion of students who receive financial aid. If the study would like to construct 95% confidence interval for the proportion of students receiving financial aid within 3%, what sample size would be needed? A previous study stated that 57% of students receive some form of financial aid.

The grade appeal process at a university requires that a jury be structured by selecting six individuals randomly from a pool of eight students and thirteen faculty.​ (a) What is the probability of selecting a jury of all​ students? (b) What is the probability of selecting a jury of all​ faculty? (c) What is the probability of selecting a jury of three students and three ​faculty?

Graph theory

In a certain school, there are 39 clubs and 194 students. Some students do not belong to any clubs but every club has at least one member and no two clubs have the same number of members. Prove that there is a way to choose one student from each club ending up with 39 different students.

GPA is approximately normally distributed for all students that have been accepted to UCLA. The average gpa is 4.0 with standard deviation of .2.

a) What % of admitted students had a gpa lower than 3.5.

b)What percent had a gpa above 4.1

c)What gpa represents the top 10% of all students

Suppose that the distribution for total amounts spent by students vacationing for a week in Florida is normally distributed with a mean of 650 and a standard deviation of 120. Suppose you take a SRS of 35 students from this distribution. What is the probability that a SRS of 35 students will spend an average of between 600 and 700 dollars? Round to five decimal places.