MATH225N-61306ModulesWeek 5 Assignment: Lab March 2020 HomeSyllabusAnnouncementsResourcesModulesFilesGradesPeopleBookstoreLibrary GuidesMedia GalleryMy MediaNew WebexAcademic Support Week 5 Assignment: Lab Due Apr 5 by 11:59pm Points 50 Submitting a file upload Required ResourcesRead/review the following resources for this activity:OpenStax Textbook: Chapter 2, 6, and 7LessonWeeks 3 and 5 Excel SpreadsheetsScenario/SummaryThis week's lab highlights the use of probability and normal distribution.Follow the directions below to gather data, calculate using Excel spreadsheets, and interpret the results.DeliverablesThe deliverable is a Word document with your answers to the questions posed below based on the data you find.Required SoftwareMicrosoft WordMicrosoft ExcelSteps to Complete Week 5 LabUse the Weeks 3 and 5 spreadsheets to help you answer the questions below.Step 1: Survey or measure 10 people to find their heights. Determine the mean and standard deviation for this group by using the Week 3 Excel spreadsheet. Post a screen shot of the portion of the spreadsheet that helped you determine these values. How does your height compare to the mean (average) height of the group that you surveyed? Is your height taller, shorter, or the same as the mean of your group? Data Example of 10 people with different heights Step 2: Give some background information on the group of people you used in your study. You might consider using the following questions to guide your answer.How did you choose the participants for your study (sampling method)?What part of the country did your study take place in?What are the age ranges of your participants?How many of each gender did you have in your study?What are other interesting factors about your group?Step 3: Use the Week 5 Excel spreadsheet for the following.(Use the Empirical Rule tab from the spreadsheet). Determine the 68%, 95%, and 99.7% values of the Empirical Rule in terms of the ten heights in your height study.What do these values tell you?Post a screen shot of your work from the Week 5 Excel spreadsheet. Week 5 Spreadsheet Example (Use the normal probability tab from the spreadsheet). Based on your study results, what percent of the study participants are shorter than you? What percent are taller than you?Post a screen shot of your work from the Week 5 Excel spreadsheet. Example: If my height is 73 inches, then 20.86% of the relevant population is shorter. The other 79.14%, of course, is taller.Week 5 Spreadsheet ExampleStep 4: Be sure your name is on the Word document, save it, and then submit it under "Assignments" and "Week 5: Lab".GradingThis activity will be graded based on the Week 5 Lab Rubric.Course Outcomes (CO): 3, 4, 5Due Date: By 11:59 p.m. MT on SundayRubric Week 5 Assignment: Lab Week 5 Assignment: Lab Criteria Ratings Pts This criterion is linked to a Learning Outcome Measures of Central Tendency and Variation 12.0 pts Addresses all elements of the following: *10 height values *mean of data *standard deviation of data *screenshot of values calculated on spreadsheet *comparison of heights 10.2 pts Addresses 4 out of 5 of the following: *10 height values *mean of data *standard deviation of data *screenshot of values calculated on spreadsheet *comparison of heights 8.4 pts Addresses 3 out of 5 of the following: *10 height values *mean of data *standard deviation of data *screenshot of values calculated on spreadsheet *comparison of heights 6.6 pts Addresses 1 or 2 out of 5 of the following: *10 height values *mean of data *standard deviation of data *screenshot of values calculated on spreadsheet *comparison of heights 0.0 pts No Effort 12.0 pts This criterion is linked to a Learning Outcome Population Data and Sampling Techniques 15.0 pts Addresses all elements of the following: *Sampling method *Location *Age group of participants *Gender of participants *Other factors about participants 12.75 pts Addresses 4 out of 5 of the following: *Sampling method *Location *Age group of participants *Gender of participants *Other factors about participants 10.5 pts Addresses 3 out of 5 of the following: *Sampling method *Location *Age group of participants *Gender of participants *Other factors about participants 8.25 pts Addresses 1 or 2 out of 5 of the following: *Sampling method *Location *Age group of participants *Gender of participants *Other factors about participants 0.0 pts No Effort 15.0 pts This criterion is linked to a Learning Outcome Probability, and Measures that would follow a normal distribution in life sciences 15.0 pts Addresses all elements of the following: *Empirical Rule values *Interpretation of Empirical Rule values *Screenshot of Empirical spreadsheet *Interpretation of Normal Distribution spreadsheet values *Screenshot of probabilities/ percentiles 12.75 pts Addresses 4 out of 5 of the following: *Empirical Rule values *Interpretation of Empirical Rule values *Screenshot of Empirical spreadsheet *Interpretation of Normal Distribution spreadsheet values *Screenshot of probabilities/ percentiles 10.5 pts Addresses 3 out of 5 of the following: *Empirical Rule values *Interpretation of Empirical Rule values *Screenshot of Empirical spreadsheet *Interpretation of Normal Distribution spreadsheet values *Screenshot of probabilities/ percentiles 8.25 pts Addresses 1 or 2 out of 5 of the following: *Empirical Rule values *Interpretation of Empirical Rule values *Screenshot of Empirical spreadsheet *Interpretation of Normal Distribution spreadsheet values *Screenshot of probabilities/ percentiles 0.0 pts No Effort 15.0 pts This criterion is linked to a Learning Outcome Grammar and Formatting 8.0 pts Lab is easy to read and presents material in a logical order with no grammatical errors. 6.8 pts Lab is easy to read and presents material in a logical order. There are a few grammatical errors but they do not distract from readability. 5.6 pts Lab is easy to read and has few grammatical errors, but it is not logically organized. 4.4 pts There are significant grammatical errors and organizational issues that distract from readability. 0.0 pts No Effort 8.0 pts Total Points: 50.0

A projectile is fired upward from the ground with an initial velocity of 300 feet per second. Neglecting air resistance, the height of the projectile at any time t can be described by the polynomial function P(t) = ­16t² + 300t  a. Find the height of the projectile when t = 1 second. b. Find the height of the projectile when t = 5 seconds.  c. How long will it be until the object hits the ground?2. A board has length (3x⁴ + 6x² ­ 18) meters and width of 2x + 1 meters. The board is cut into three pieces of the same length. a. Find the length of each piece.  b. Find the area of each piece. c. Find the area of the board before it is cut. d. How is the area of each piece of the board related to the area of the board before it is cut?3. A cubic equation has zeros at -­2, 1, and 3. a. Write an equation for a polynomial function that meets the given conditions. b. Draw the graph of a polynomial function that meets the given conditions. 4. Alice was having a conversation with her friend Trina, who had a discovery to share:  Pick any two integers. Look at the sum of their squares, the difference of their squares, and twice the product of the two integers you chose. Those three numbers are the sides of a right triangle. a. Write an equation that models this conjecture using the variables x and y. b. Investigate this conjecture for at least three pairs of integers. Does her trick appear to work in all cases, or only in some cases? Explain. c. Use Trina’s trick to find an example of a right triangle in which all of the sides have integer length, all three sides are longer than 100 units, and the three side lengths do not have common factors. If Trina’s conjecture is true, use the equation found in part a to prove the conjecture. If it is not true, modify it so it is a true statement, and prove the new statement.

Please review the HW submission guidelines for both assignments, and make sure to follow This due with in 7 days