Homework SourseA study conducted by researchers at Pennsylvania State Unive
A study conducted by researchers at Pennsylvania State University investigated whether time perception, an indication of a person
Solution
Assuming the population is normal, please calculate the test statistic for a t distribution test. (keep two decimals)
The test statistic is
t=(xbar-mu)/(s/vn)
=(59.3-45)/(9.84/sqrt(20))
=6.499
Answer: d. 6.50
---------------------------------------------------------------------------------------------------------------------------------------
What is the degrees of freedom of the t distribution test?
The degree of freedom =n-1=20-1=19
Answer: 19
---------------------------------------------------------------------------------------------------------------------------------------
set up the rejection region of the problem, assuming the significance level is 1%.
Given a=0.01, the critical value is t(0.01, df=19)=2.539 (from student t table)
Answer: [2.539, ?)
---------------------------------------------------------------------------------------------------------------------------------------
What is your conclusion?
Reject H0, and accept Ha.
---------------------------------------------------------------------------------------------------------------------------------------
What is your interpretation of the conclusion?
There is extremely strong evidence to support the claim that smoking abstinence has a negative impact on time perception, causing elapsed time to be overestimated.
---------------------------------------------------------------------------------------------------------------------------------------
What kind error is possible for your conclusion
Type One Error
Type One Error: We reject the null hypothesis when it is true
