Hi Everyone,
Read the sections on Hypothesis Testing in your book.
Click on these links
http://college.cengage.com/mathematics/blackboard/shared/content/video_explanations/video_wrapper.html?filename=v01090a
http://college.cengage.com/mathematics/blackboard/shared/content/video_explanations/video_wrapper.html?filename=v01090b
http://college.cengage.com/mathematics/blackboard/shared/content/video_explanations/video_wrapper.html?filename=v02262a
Think of an application where you can use hypothesis testing to test a premise. Use .05 for your alpha and give the scenario. Set up the problem, solve it and state your conclusions. See the example below. Then respond to at least 2 classmates.
First post: First summarize the 3 videos and make a note of what you learned. Then create your own hypothesis test. For instance, XYZ car company boast that it’s new car Eco Auto gets at least 59 miles to the gallon. Given a sample mean of 57 and a standard deviation of 3.5 where 35 people were tested, find the z value and p score. Hint: Use the P value calculator in the announcements to find the p score. Note: On this one you do not need to attach an excel spreadsheet.
Student Response:
Ho: µ>=59
Ha: µ<59
You can put this in excel or your calculator
= (57-59)/(3.5/35^.5)
=-3.38
Using the z to p value calculator
https://www.socscistatistics.com/pvalues/normaldistribution.aspx
with α=.05, 1 tailed test and z=-3.38, you get
p=.000362
____________________________________________________________________________________
or enter this in excel
=norm.dist(57,59,3.5/35^.5,true) and hit enter
.000362
This is the z value and in this case the p value
If you have a 2 tailed- test, then multiply the value you get by 2.
and hit enter
Since p < .05, you reject the null.