Question

In: Math

11.Private Four-Year College Enrollment A random sample of enrollments in Pennsylvania’s private four-year colleges is listed...

11.Private Four-Year College Enrollment A random sample of enrollments in Pennsylvania’s private four-year colleges is listed here. Check for normality. Answer: Not Normal. Please show work this is a review for an exam

1350

1886

1743

1290

1767

2067

1118

3980

1773

4605

1445

3883

1486

  980

1217

3587

Solutions

Expert Solution

Solution:

To test the normality of the data i have performed Kolmogorov-Smirnov test for Normality using SPSS software and provided results below. It would be more appropriate for review.

Test result:

Null hypothesis: Data follows normal distribution

Alternative hypothesis: Data do not follow normal distribution.

Conclusion: From the table, we can see P-value is less than significance level 0.05 we reject null hypothesis of normality and conclude that data is not normal.

Consider the following Boxplot of given data to get clear idea of spread of the data.

Conclusion: We can see from the above boxplot the box is not symmetrical with the mean and median in the center therefore, we can conclude that data do not meets the assumption of normality.

milcah answered 4 months ago
Next > < Previous

Related Solutions

A student at a four-year college claims that average enrollment at four-year colleges is higher than...
A student at a four-year college claims that average enrollment at four-year colleges is higher than at two-year colleges in the United States. Two surveys are conducted. Of the 35 two-year colleges surveyed, the average enrollment was 5061 with a standard deviation of 4775. Of the 35 four-year colleges surveyed, the average enrollment was 5216 with a standard deviation of 8101. Conduct a hypothesis test at the 5% level. NOTE: If you are using a Student's t-distribution for the problem,...
A student at a four-year college claims that average enrollment at four-year colleges is higher than...
A student at a four-year college claims that average enrollment at four-year colleges is higher than at two-year colleges in the United States. Two surveys are conducted. Of the 35 two-year colleges surveyed, the average enrollment was 5068 with a standard deviation of 4777. Of the 35 four-year colleges surveyed, the average enrollment was 5466 with a standard deviation of 8191.† Conduct a hypothesis test at the 5% level. NOTE: If you are using a Student's t-distribution for the problem,...
A student at a four-year college claims that average enrollment at fouryear colleges is higher than...
A student at a four-year college claims that average enrollment at fouryear colleges is higher than at twoyear colleges in the United States. Two surveys are conducted. Of the 35 twoyear colleges surveyed, the average enrollment was 5068 with a standard deviation of 4777. Of the 35 four-year colleges surveyed, the average enrollment was 5466 with a standard deviation of 8191. Test the claim using 0.10 as significance level.
Because of high tuition costs at state and private universities, enrollments at community colleges have increased...
Because of high tuition costs at state and private universities, enrollments at community colleges have increased dramatically in recent years. The following data show the enrollment (in thousands) for Jefferson Community College for the nine most recent years. Click on the datafile logo to reference the data. Year Period (t) Enrollment (1,000s) 2001 1 6.5 2002 2 8.1 2003 3 8.4 2004 4 10.2 2005 5 12.5 2006 6 13.3 2007 7 13.7 2008 8 17.2 2009 9 18.1 (a)...
The enrollments of the 13 public universities in the state of Ohio are listed below. College...
The enrollments of the 13 public universities in the state of Ohio are listed below. College Enrollment University of Akron 26,106 Bowling Green State University 18,864 Central State University 1,718 University of Cincinnati 44,354 Cleveland State University 17,194 Kent State University 41,444 Miami University 23,902 Ohio State University 62,278 Ohio University 36,493 Shawnee State University 4,230 University of Toledo 20,595 Wright State University 17,460 Youngstown State University 12,512 (Round "Mean" and "Standard deviation" to the nearest whole number.) Click here...
A random sample of 49 colleges yielded a mean cost of college education of $30,500 per...
A random sample of 49 colleges yielded a mean cost of college education of $30,500 per year. Assume that the population standard deviation is $3000 and college costs are normally distributed. a.) Calculate the standard error of the mean. Round to the hundredth. b.) Calculate the lower bound for a 90% confidence interval for the population mean cost of education. Round to the hundredth. c.) Calculate the upper bound for a 90% confidence interval for the population mean cost of...
11. A random sample of 50 college student students shows that the score of a College...
11. A random sample of 50 college student students shows that the score of a College Statistics is normally distributed with its mean, 83 and standard deviation, 7.5. Find 95 % confidence interval estimate for the true mean.
A random survey of enrollment at community colleges across the United States yielded the following figures:...
A random survey of enrollment at community colleges across the United States yielded the following figures: 7681; 3200; 17500; 9200; 7380; 18314; 6557; 13713;. Assume the underlying population is normal. Construct a 95% confidence interval for the population mean enrollment at community colleges in the United States. What is the lower bound of the confidence interval? Question 1 options: 5880 10443 15006 Question 2 (1 point) What is the sample mean? Question 2 options: 5458 5880 10443 Question 3 (1...
A random survey of enrollment at 35 community colleges across the United States yielded the following...
A random survey of enrollment at 35 community colleges across the United States yielded the following figures: 6,415; 1,549; 2,107; 9,348; 21,829; 4,300; 5,943; 5,724; 2,824; 2,043; 5,483; 5,199; 5,855; 2,749; 10,010; 6,359; 27,002; 9,416; 7,679; 3,201; 17,502; 9,202; 7,380; 18,313; 6,558; 13,714; 17,769; 7,491; 2,769; 2,862; 1,262; 7,283; 28,163; 5,082; 11,624. Assume the underlying population is normal. Part (a) Find the following. (Round your answers to the nearest whole number.)(i)     x =   sx =   n = 35 n −...
Private nonprofit four-year colleges charge, on average, $26,755 per year in tuition and fees. The standard...
Private nonprofit four-year colleges charge, on average, $26,755 per year in tuition and fees. The standard deviation is $6,752. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 25,013 per year. c. Find the 66th percentile for this distribution....
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT