How Many Tissues Should a Package of Tissues Contain? Researchers $\bar { x } = 35 , s = 18$

Multiple Choice

How many tissues should a package of tissues contain? Researchers have determined that a person uses an average of 41 tissues during a cold. Suppose a random sample of 10,000 people yielded the following data on the number of tissues used during a cold: $\bar { x } = 35 , s = 18$ . Identify the null and alternative hypothesis for a test to determine if the mean number of tissues used during a cold is less than $41 .$

A) $H _ { 0 } : \mu = 41$ vs. $H _ { \mathrm { a } } : \mu > 41$
B) $H _ { 0 } : \mu > 41$ vs. $H _ { \mathrm { a } } : \mu \leq 41$
C) $H _ { 0 } : \mu = 41$ vs. $H _ { \mathrm { a } } : \mu \neq 41$
D) $H _ { 0 } : \mu = 41$ vs. $H _ { \mathrm { a } } : \mu < 41$