Sam Wanted to Test a Claim About the Mean of a Population

question 13

Essay

Sam wanted to test a claim about the mean of a population whose standard deviation was unknown. He picked a simple random sample of size 20 from the population. Lou wanted to
test a claim about a mean of a different population whose standard deviation was known. He
picked a simple random sample of size 22 from that population. George said that Sam would
need to determine whether his sample was from a normally distributed population because the
population standard deviation was unknown. He said that Lou would not need to do this since
for his test the population standard deviation was known. Is George right?
116

---

Definitions:

Sesshu Toyo

A prominent Japanese ink painter and Zen monk of the 15th century, known for his landscapes and mastery of ink wash techniques.

Yosa Buson

Yosa Buson was a renowned 18th-century Japanese poet and painter, well-known for his significant contributions to the development of haiku poetry alongside his artistic works.

Muromachi Landscape

Artworks or scenic views associated with the Muromachi period in Japan, marked by Zen influences and simplicity in design.

Kano Motonobu

A prominent Japanese painter of the Muromachi period, known for his contributions to the Kano school of painting.