This module provides a practice of Hypothesis Testing of Single Mean and Single Proportion as a part of Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean.
Student learning outcomes
The student will conduct a hypothesis test of a single mean with unknown population standard deviation.
Given
A random survey of 75 death row inmates revealed that the mean length of time on death row is 17.4 years with a standard deviation of 6.3 years. Conduct a hypothesis test to determine if the population mean time on death row could likely be 15 years.
Hypothesis testing: single mean
Is this a test of means or proportions?
averages
State the null and alternative hypotheses.
Is this a right-tailed, left-tailed, or two-tailed test?
How do you know?
two-tailed
What symbol represents the Random Variable for this test?
In words, define the Random Variable for this test.
the mean time spent on death row for the 75 inmates
Is the population standard deviation known and, if so, what is it?
No
Calculate the following:
17.4
75
Which test should be used? In 1 -2 complete sentences, explain why.
test
State the distribution to use for the hypothesis test.
Sketch a graph of the situation. Label the horizontal axis. Mark the hypothesized mean and the sample mean,
. Shade the area corresponding to the p-value.
Find the p-value.
0.0015
At a pre-conceived
, what is your:
Decision:
Reason for the decision:
Conclusion (write out in a complete sentence):
Reject the null hypothesis
Discussion question
Does it appear that the mean time on death row could be 15 years? Why or why not?
Questions & Answers
Explain the following terms .
(1) Abiotic factors in an ecosystem
Abiotic factors are non living components of ecosystem.These include physical and chemical elements like temperature,light,water,soil,air quality and oxygen etc
