•Define the basic terms used in hypothesis testing •Conduct a t-test for one sam
ID: 3220007 • Letter: #
Question
•Define the basic terms used in hypothesis testing
•Conduct a t-test for one sample hypothesis testing •
Write null and research hypotheses, and determine if the research hypothesis is one-tailed or two-tailed
Assignment Overview This assignment explores using hypothesis testing to determine whether significant mean differences exist in certain scenarios.
Deliverables Answers to exercise questions. Show work for all examples. Solutions without work shown will not receive full credit.
Step 1 Solve the following problems. Find solutions to the following problems. Be sure to include all relevant information for each of the following problems, including hypotheses, critical value, degrees of freedom, and a statement about significance.
•A researcher hypothesizes that people who listen to music via ear buds have greater hearing loss than those in the general population. On a standard hearing test, the mean () is 24.75. Higher values indicate better hearing; lower values indicate greater hearing loss or worse hearing. The researcher gave this same test to a random sample of 30 individuals who regularly use ear buds. Their average score on the hearing test is 21.57, s = 3.85. Determine if using ear buds significantly reduces hearing
. •As an industrial psychologist, you have been hired by a large hospital to automate the admitting procedure and reduce the admission time. Previously, it took an average of 40 minutes to admit each patient, with a standard deviation of 9 minutes. You create a new computerized procedure and find that your automated procedure takes an average of 34.5 minutes for the 35 patients in your pilot study. Determine if your system significantly reduced admit time.
•Dr. Simpson was surprised to learn that her 28 students get on average 7.2 hours of sleep per night (s=0.80). She had just read that the national average is 7 hours per night. Determine if Dr. Simpson's college students get significantly more sleep than the national average. Step 2 Save and submit your assignment.
Explanation / Answer
(1)
Data:
n = 30
= 24.75
s = 3.85
x-bar = 21.5
Hypotheses:
Ho: 24.75
Ha: < 24.75
Decision Rule:
= 0.05
Degrees of freedom = 30 - 1 = 29
Critical t- score = -1.699126996
Reject Ho if t < -1.699126996
Test Statistic:
SE = s/n = 3.85/30 = 0.702910615
t = (x-bar - )/SE = (21.5 - 24.75)/0.702910615464963 = -4.623631979
p- value = 3.60594E-05
Decision (in terms of the hypotheses):
Since -4.623631979 < -1.699126996 we reject Ho and accept Ha
Conclusion (in terms of the problem):
Using ear buds significantly reduces hearing.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.