Researchers have claimed that the average number of headaches per student during a semester Statistics is 14. Statistics students believe the average is higher. In a sample of $n = 15$ students th mean is 19 headaches with a deviation of 1.9. Which of the following represent the null and alternative hypotheses necessary to test the students' belief? A) $H _ { 0 } : \mu

Question

Researchers have claimed that the average number of headaches per student during a semester Statistics is 14. Statistics students believe the average is higher. In a sample of $n = 15$ students th mean is 19 headaches with a deviation of 1.9. Which of the following represent the null and alternative hypotheses necessary to test the students' belief?
A) $H _ { 0 } : \mu < 14$ vs. $H _ { \mathrm { a } } : \mu = 14$
B) $H _ { 0 } : \mu = 14$ vs. $H _ { \mathrm { a } } : \mu < 14$
C) $H _ { 0 } : \mu = 14$ vs. $H _ { \mathrm { a } } : \mu \neq 14$
D) $H _ { 0 } : \mu = 14$ vs. $H _ { \mathrm { a } } : \mu > 14$ of

Quizplus · Accepted Answer

The null hypothesis ($H_0$) typically represents the status quo or a statement of no effect, which in this case is that the average number of headaches per student during a semester is 14 ($\mu = 14$). The alternative hypothesis ($H_a$) represents the researchers' belief or the hypothesis to be tested against the null, which here is that the average is higher than 14 ($\mu > 14$).

Researchers Have Claimed That the Average Number of Headaches Per n=15n = 15n=15

Researchers Have Claimed That the Average Number of Headaches Per $n = 15$