Question

MAT 107 Project: Age of Students in College Professor Sumner Collect Data: (5 points) You will need to ask 30 college students their age. The students can attend any college or university. Use the table below to input the data you collected. If you do the work for this project by hand, you must show the work you do to arrive at your results to earn full credit. If you use technology (computer, calculator, etc.) to obtain the results, you must state the technology you used and describe how you used it to obtain the results to obtain full credit. The project is worth 40 points. 1. (5 points) Use the table to construct a frequency distribution for the data you collected (student ages from table above). Class Limits Frequency Relative Frequency Cumulative Frequency 18-22 23-27 28-32 33-37 38-42 2. (2 points) Construct a histogram for the data above. Be sure to label the axes appropriately. 3. (1 point) Comment on the shape of the distribution. Does it appear to be symmetric, uniform, skewed left, or skewed right? Refer to Chapter 2 in the text. 4. (6 points) Find the following descriptive statistics for the sample data you collected. Mean Median Mode Range Variance Standard Deviation 5. (5 points) Find the five-number summary for the sample data you collected. Min = ______________________ Max = ______________________ Q1 = _______________________ Q2 = _______________________ Q3 = _______________________ 6. (1 point) Sketch a boxplot of the data. 7. (1 point) What is the IQR? __________________ 8. (6 points) Use the calculations above to construct a 95% confidence interval for the population’s mean age. _______________ < µ < ________________ 9. (2 points) What is the statistical interpretation of this particular confidence interval? 10. Using the calculations above, test the hypothesis that the population’s mean age is greater than 26. Use α = 0.05. (1 point) Null hypothesis (H0): ______________________________ (1 point) Alternative hypothesis (Ha): _________________________ (1 point) Test statistic (z-test): _____________________________ (1 point) p-value: _____________________________ (1 point) Conclusion: Do you reject the null hypothesis? (yes or no) ______________________-__ (1 point) If someone were to ask what the conclusion means in this particular situation, what would, you say? the data is 18-22,23-27,28-32.33-37 and 38-42 the table is 3 in row and 10 down

Answer 1

ns: attu a veno 8-22 23-2 2 28-32 3 2.5 O o to 2 53-3子 o 15 2 30

2-0 to 3 18-3. 93.33 33-3 38 Seve Riet (on positioely skiuo) Man Medan Meole 20 5 20 23 63 std Ras JalianceS 23