Question
A psychologist believes that students' test scores will be affected if they have too much caffeine...
A psychologist believes that students' test scores will be affected if they have too much caffeine before taking an exam. To examine this, she has a sample of n= 15 students drink five cups of coffee before taking an exam. She uses an exam that has a population mean of μ=72 and a population standard deviation of σ = 3. The mean test score for the sample of 15 students who drank five cups of coffee before taking the exam was M = 69. Do a t-test using α = .01.
a. is this a one-tailed test or a two-tailed test?
b. What is the research hypothesis?
c. What is the null hypothesis?
d. Calculate the degrees of freedom for this problem
e. What is the critical value of α=.01
f. Calculate the mean of the distribution of sample means
g. Calculate the standard error of mean
h. Calculate the t-score of the sample mean
i. Sketch the distribution of sample means and indicate where the sample means is, where the critical value of t is located
j. Can you reject the null hypothesis?
k. Can you accept the research hypothesis?
Answers
Ans:
a)One tailed
b)
c)
d)degrees of freedom=15-1=14
e)critical value=-2.624
f) mean of the distribution of sample means=72
g)standard error of mean=3/sqrt(15)=0.775
h)
t=(69-72)/(3/SQRT(15))
t=-3.87
j)Yes ,t score is less than critical value,so reject H0.
k)Yes
H, :μ< 72Η :μ = 72
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