SOLUTION: Please help me with this, I am confused what to take null and alternative hypothesis. A drug company is interested in the effectiveness of a new sleeping pill. A random sample of

Question 1083194: Please help me with this, I am confused what to take null and alternative hypothesis.
A drug company is interested in the effectiveness of a new sleeping pill. A random sample of 50 people try the new sleeping pill and the number of additional hours of sleep (compared with the nights without any sleeping pill), X, are recorded. The sample mean of additional hours of sleep is 2.2 hours and the sample standard deviation of X is 3 hours.
Test the claim that the new drug increases the number of hours of sleep at least by 2 hours on average at the 5% level of significance.

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Ho: X = 2
H1: X < 2
:
This is a one-tailed test
:
standard error(SE) = 3/square root(50) = 0.42
:
since we do not know the standard deviation of the population, we use the t-statistic
:
degrees of freedom(df) = 50 -1 = 49
:
t-statistic = (2.2 - 2) / 0.42 = 0.48
:
use the t-tables to find probability(P)
:
P ( X > 0.48) = 0.32 (p-value)
:
since our p-value is > 0.05, we accept the Ho hypothesis

RELATED QUESTIONS
In a clinical trial, 19 out of 800 patients taking a prescription drug complained of... (answered by ewatrrr)

Could you PLEASE SHOW me how to solve problem? Provide an appropriate response. A... (answered by Theo)

DESCRIBE what a type I and TYPE II error would be for each of the following null... (answered by stanbon)

This is my problem below. I do not understand much of anything that is going on. At... (answered by rothauserc)

Could someone explain how I should answer these? For questions 1-3, write the null and (answered by Boreal)

what is the null hypothesis and its alternative hypothesis (to contradict the null... (answered by Edwin McCravy)

This question has been submitted several times, will someone please help. The company... (answered by Edwin McCravy)

Please help me with this question, I have submitted it several times to no avail. An... (answered by macston)