SOLUTION: A new cell phone battery is being considered as a replacement for the current one. Ten college student cell phone users are selected to try each battery in their usual mix of �talk

Question 259813: A new cell phone battery is being considered as a replacement for the current one. Ten college student cell phone users are selected to try each battery in their usual mix of �talk� and �standby� and to record the number of hours until recharge was needed. The data is
Participant New Battery Old Battery
Bob 45 52
May 41 34
Deno 53 40
Sri 40 38
Pat 43 38
Alexis 43 44
Scott 49 34
Aretha 39 45
Jen 41 28
Ben 43 33
a) What are the null and alternative hypotheses to test if the new battery has longer life than the old battery?
b) Use Excel to perform the hypothesis test using α = 0.05.
c) Draw a conclusion for the hypothesis test. Make sure you state your conclusion in the context of the problem.
d) What is the p-value for the hypothesis test?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A new cell phone battery is being considered as a replacement for the current one. Ten college student cell phone users are selected to try each battery in their usual mix of �talk� and �standby� and to record the number of hours until recharge was needed. The data is
Participant New Battery Old Battery
Bob .............45 .............52
May .............41 .............34
Deno .............53 .............40
Sri .............40 .............38
Pat .............43 .............38
Alexis .............43 .............44
Scott .............49 .............34
Aretha .............39 .............45
Jen .............41 .............28
Ben .............43 .............33
a) What are the null and alternative hypotheses to test if the new battery has longer life than the old battery?
Ho: u(new)-u(old) = 0
Ha: u(new)-u(old) > 0
----------------------
b) Use Excel to perform the hypothesis test using alpha = 0.05.
I used a TI to get:
ts: t = 1.9646
p = 0.0341---
-------------------------------------------------------
c) Draw a conclusion for the hypothesis test. Make sure you state your conclusion in the context of the problem.
Since the p-value is less than 5% reject the equality of the old and
the new have equal battery life.
-------------------------------------------------------
d) What is the p-value for the hypothesis test?
p = 0.0341---
======================================================
Cheers,
Stan H.
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