Final Project_ Template (1) Book of Mormon Project first week

docx

School

Brigham Young University, Idaho *

*We aren’t endorsed by this school

Course

221 C

Subject

Statistics

Date

Feb 20, 2024

Type

docx

Pages

Uploaded by PresidentRaccoonMaster928

Introductory Statistics Design the Study 1. List the Group Members with Both First and Last Names: Haylie Paxman, Bekah Crawford, Carolina Egbert( Leader), Kathy Crowe. 2. Explain the purpose of your study. We are seeing if our sample mean from 60 randomly selected verses from the Book of Mormon will be different from Sister Easton’s research that the Savior’s name is mentioned 0.6 times per verse. We are searching to see if our sample population mean is different from 0.6. 3. Determine whether this be a Designed Experiment or an Observational Study? Explain. This is an Observational Study because we are observing how many times the Savior’s name is mentioned in 60 randomly selected scripture verses from the Book or Mormon. We do not have a control group or variable group required for an experimental study. 4. Identify the response variable(s). (Tip: carefully consider what you are going to observe and record) Determine whether the response variable numeric or categorical. (Lesson 2 Section 4.4) The response variable is the number of times the savior’s name is mentioned in 60 randomly selected verses from the Book of Mormon. The response variable is numeric or a quantitative variable. 5. Identify the population. All the verses in the Book of Mormon 6. Identify the population parameter of interest. All the verses that mentioned Jesus Christ and the mean 0.6 mentions of the Savior’s name per verse from Sister Easton’s research. 7. State your Null and Alternative Hypothesis in words and symbols. Ho: The average of times that Jesus Chirst is mentioned in the Book of Mormon is (u= 0.6) Ha: The average of times that Jesus Christ is mentioned in the Book of Mormon is different than (u=6) 8. State and Define your Planned Sampling Method. (Lesson 2 Section 4.3) Simple Random Sampling- random selection taken from a population. How will you apply the planned sampling method? We had Excel randomly select 60 verses from the Book of Mormon. Then we read each verse and counted the number of times any names used to refer to the Savior appeared.

Whether or not the Savior’s name appeared and how many times it appeared was recorded for each verse in a chart. 9. Explanation on why you chose this type of method. We felt like this sampling method would give an accurate representation because it came from a random sample and we planned on collecting a large sample size of 60 verses. Collect the Data 1. What did you learn in Data collection? In the Data collected we learn that there were only 13 verses that shared references of the savior out of the 60. Some of those 13 verses did reference the savior more than once though. 2. Describe how sampling was completed. We divided up the 60 verses between five team members. Each team member recorded how many times the Savior’s name appeared in each verse they read. 3. Describe things you did not anticipate. We did not anticipate that there would be only 13 verses that mentioned the Savior’s name from our sample size of 60. 4. List the Sample Sizes Gathered by Group. Sample size by group was 60 random verses from the Book of Mormon Describe the Data 1. Provide Numerical Summaries. Sample Mean = 0.383 Sample Standard Deviation = 0.804 Standard Error of the Mean=0.104 Confidential Interval of True Mean = 95% Alpha = 0.05 Test Statistic (t)= -54.081 Sample mean(x bar)= 0.383 Degrees of Freedom (df)= 59 P- value: 0 Lower bound= 0.176 Upper Bound = 0.591 2.Provide Graphic Summary

2. Make a statement comparing the groups or the one group to the null hypothesis based on your numerical and graphical summaries. The p-value appears to be 0, and lower than alpha=0.05, we have sufficient evidence to reject the null hypothesis. Make Inference 1. Describe the method used and why you used the method. 2. Check the requirements of the statistical method. 3. State the null and alternative hypotheses in words and symbols. 4. State the level of significance. 5. State the test statistics and degrees of freedom. 6. State the p-value. 7. Make a statement on rejecting or not rejecting the null hypothesis by comparing the p- value to the level of significance. 8. Make a concluding statement and referencing the alternative hypothesis when making the concluding statement. 9. Calculate and interpret the confidence interval. 10. Compare the confidence interval to the null hypothesis to determine whether the null hypothesis should be rejected. Take Action 1. What action item would you take given the results you obtained?

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version