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

Question

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. $H _ { \mathrm { a } } : \mu < 41$

Quizplus · Accepted Answer

The null hypothesis $H_0$ assumes that the mean number of tissues used is equal to 41, while the alternative hypothesis $H_a$ tests if the mean is less than 41.

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

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