SOLUTION: 7. The pulse rates below were recorded over a 30-second time period, both before and after a physical fitness regimen. The data is shown below for 8 randomly selected participants.
Algebra.Com
Question 250897: 7. The pulse rates below were recorded over a 30-second time period, both before and after a physical fitness regimen. The data is shown below for 8 randomly selected participants. Is there sufficient evidence to conclude that a significant amount of improvement took place? Assume pulse rates are normally distributed. Test using a = 0.05.
State the null and alternate hypotheses
Calculate the mean and standard deviation
Determine which test statistic applies, and calculate it
Determine the critical value(s).
State your decision: Should the null hypothesis be rejected?
Before 43 34 37 41 41 59 36 58
After 37 36 40 49 52 51 31 55
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The pulse rates below were recorded over a 30-second time period, both before and after a physical fitness regimen. The data is shown below for 8 randomly selected participants. Is there sufficient evidence to conclude that a significant amount of improvement took place? Assume pulse rates are normally distributed. Test using a = 0.05.
-------------
Improvement would mean the pulse rates would decrease so Before-After > 0
Calculate the difference data and find the mean and standard deviation of
that data. d-bar = ? ; s =
---------------
State the null and alternate hypotheses
Ho: d-bar=0
H1: d-bar > 0
Calculate the mean and standard deviation
d-bar = 0 ; = s = 6.4587
Determine which test statistic applies, and calculate it
t(0) = (0-0)/6.4587/(sqrt(8)] = 0
p-value = 0.50
Determine the critical value(s).
invT(0.95,7) = 1.8946
State your decision: Should the null hypothesis be rejected?
Since ts is < 1.8946 fail to reject Ho
============================================
Before::::::: 43 34 37 41 41 59 36 58
After:::::::: 37 36 40 49 52 51 31 55
Befor-After::..6.-2.-3.-8.-9..8..5..3
-----------------------------------
Cheers,
Stan H.
RELATED QUESTIONS
I can't figure out how to set the problem up. Can you please help? Thanks for all your... (answered by stanbon)
I was wondering if anyone can help me with these. I'm having issues with understanding... (answered by stanbon)
One measure of physical fitness is the amount of time it takes for the pulse rate to... (answered by Boreal)
When you exercise, your pulse rate rises. Recommended pulse rates vary with age and... (answered by Fombitz)
When you exercise your pulse rate rises. Recommended pulse rates vary with age and... (answered by stanbon)
Over the past 10 years, the local school district has measured physical fitness for all... (answered by stanbon)
I'm wrapping up a loooooong project for my Statistics class but there's just one problem... (answered by Boreal)
6. The mean pulse rate for adults is 72 beats per minute (www.healthepic.com) and lets... (answered by stanbon)
The weight in pounds of a random sample of 7 babies were recorded before and after... (answered by math_tutor2020)