Question

Number 1:

A. Suppose your section will participate in the field demonstration at the Sports festival in your school. This field demonstration must be consisting of 20 learners per section. Your adviser assigned you to organize a team that is willing to join in the said event. He also instructed you to collect information about your classmates’ height because he will need to buy a costume. Since your community is under the General Community Quarantine because of the recent pandemic, you need to contact your classmates through SMS or messenger to get their heights and write it on the table below.

Name	Height(cm)	Name	Height(cm)
1. ken	160 cm	11. diane	150 cm
2. mark	160 cm	12. marry	155 cm
3. angelo	165 cm	13. hery	153 cm
4. marj	151 cm	14. lawrence	165 cm
5. jenny	150 cm	15. trish	155 cm
6. mike	161 cm	16. camly	150 cm
7. ange	151 cm	17. zedrick	165 cm
8. line	151 cm	18. dex	160 cm
9. celyn	152 cm	19. francis	160 cm
10. jen	152 cm	20. kim	160 cm

B. Answer the following questions based on your collected data.

1. What is the mean? standard deviation?

·          

2. Suppose the above data is normally distributed. What is the probability that the height of your classmates picked randomly is:

a. less than 155 cm?

·          

b. more than 143 cm?

·          

c. between 140cm and 160 cm?

·          

3. How many participants in your team have heights between 140 cm to 170 cm?

·          

Number 2:

Enumerate the steps on how to find the area to the right of 2.50 under the t distribution with 23 degrees of freedom.

Number 3:

Explain in your own words how to find the 90th percentile of the t- distribution with 28 degrees of freedom.

Number 4:

Construct your own problem but put a little story on it using the data indicated below, then answer it.

? ̅= ???

? = ?. ??

95% Level of Confidence

 

Number 5:

Make your problem statement about computing the length of the confidence interval. Use the two formulas for the comparison of the answer. Write down all the data and write your solution.

Number 6:

·         Make a problem statement anchored in any of the following issues:

-Public Health like COVID – 19 pandemic

-Climate change

-Overpopulation

-Gender Inequality

-Bullying

-Poverty

·         Identify a random variable related to your selected issue. For example, the number of facemasks used for Public Health issues, volume of waste disposal for climate change, the number of children in a family for overpopulation, etc.

·         Survey all of your classmates.

·         Compute for the population mean, standard deviation, and the margin of error. Use the formula: E = zα2∙σ√nand a confidence level of 90%, 95%, and 99%.

·         Compute for the appropriate sample size using the computed values in number 4. Use the formula: ? = (??⁄2??)2 and a confidence level of 90%, 95%, and 99%.

·         Interpret your results in the context of your problem statement.

·         How important is sampling in the survey? Is sampling necessary in your survey? Justify your answer.

·         What can you suggest solving the problem stated in your output?