Section 3:

Interpretation of data analyses Refer to the excerpt titled Which city should AmlaG be marketed to? A mini case.

Mr. Agapito will design 2 research projects; the first project investigates the effect of 'shea oil' on change in hair length in men, while the second compares the impact of AmlaG and shea oil on change in hair length in children. In the first project, 100 participants applied 4.5 millilitres of shea oil to their scalp every day for 1 week. In the second research project, 75 participants applied 4.5 millilitres of shea oil to their scalp every day for 1 week, while 80 participants applied 4.5 millilitres of AmlaG to their scalp every day for 1 week. Hair measurements were in micrometres.

1. For the first research project:

a. what is the null hypothesis for the first research project?

b. what is the null hypothesis for the second research project?

c. Mr. Agapito ran a t-test on the data collected from the second research project. He conducted the analyses using RStudio and Microsoft Excel. The results were exactly the same with RStudio and Microsoft Excel and below is the output of the t-test. In the output, A corresponds to the 'shea oil' group

data: A and B

t = -0.067579, df = 239.15, p-value = 0.9462

alternative hypothesis: true difference in means is not equal to 0

95 percent confidence interval:

-5267.826 4918.385

sample estimates:

mean of A =10,333.55

mean of B =8,205.27

i. A t-test compares whether a difference between two means is significantly different.

? What is meant by 'significantly' here?

? The first research project examines a difference; the second research project also examines a difference? How is the difference in the first research project different from the difference in the second research project?

ii. Based on the underline and bold font, make a conclusion

iii. Mr. Agapito obtained the following output for the first research project data: A

t = 45.888, df = 190, p-value

alternative hypothesis: true mean is not equal to 0

95 percent confidence interval:

145071.0 158103.2

sample estimates: mean of A

151587.1

all assignments x Dashboard X + fanshaweonline.ca/d21/le/content/1405704/viewContent/12784023/View Which city should AmlaGO be marketed to? A mini case' Ms. Efeomo Ajayi, a final (i.e., fourth) year student of the 'Specialization in Sociology and Agriculture' program at Lagos State University, collected data from residents across various Nigerian cities for her undergraduate thesis project. The topic of her dissertation pertained to 'frogs and lizards'. To carry out the objectives of her dissertation, Ms. Ajayi collected data from residents in 12 cities across the nation, namely, Ibadan, Bunza, Ota, Akure, Port Harcourt, Kano, Shanga, Zuru, Jega, Yelwa, Suru, and Baguda. She collected the data between May 1 2022 and August 31 2022 (inclusive). She organized all her data into one Microsoft Excel document and this file is electronically archived at Lagos State University's 'Research Data Centre'; let's call Ms. Ajayi's database the 'Masterdata'. You are a staff member at Sandaryam & Herbs Inc., a company that manufactures various cosmetic products and exports them across India and outside the