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

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Question 280998: 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. (a) Do these results show that the new battery has significantly longer life at α = .05? State your hypotheses and show all steps clearly. (b) What is your decision on the null hypothesis? Is the decision close? (c) Are you convinced?
Answer by stanbon(75887) About Me  (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
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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---
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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.
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d) What is the p-value for the hypothesis test?
p = 0.0341---
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Cheers,
Stan H.