Two-Population Intervals: 8. How long do new batteries last on a camping trip? A random sample of n, -42 small camp flashlights were installed with brand I batteries and left on until the batteries failed. The sample mean lifetime was -9.8 hours with sample standard deviation s, - 2.2 hours. Another random sample of n - 38 small flashlights of the same model were installed with brand II batteries and left on until the batteries failed. The sample mean of lifetimes was -8.1 hours with sample standard deviation s, = 3.5 hours. a. How do you know you can create the confidence interval based on the data given (ię How do you know the data is normally distributed)? b. Should you use the Z-Distribution or T-Distribution in determining a confidence interval in this problem? Explain. c. Find a 90% confidence interval for the population difference of lifetimes for these batteries. d. What does your interval tell you about the mean life of battery I compared to battery II?

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Two-Population Intervals:
8. How long do new batteries last on a camping trip?
A random sample of n, = 42 small camp flashlights were installed with brand I
batteries and left on until the batteries failed. The sample mean lifetime was -9.8
hours with sample standard deviation s, = 2.2 hours.
Another random sample of n, - 38 small flashlights of the same model were installed
with brand II batteries and left on until the batteries failed. The sample mean of
lifetimes was = 8.1 hours with sample standard deviation s, - 3.5 hours.
a. How do you know you can create the confidence interval based on the data
given (ie How do you know the data is normally distributed)?
b. Should you use the Z-Distribution or T-Distribution in determining a
confidence interval in this problem? Explain.
c. Find a 90% confidence interval for the population difference of lifetimes for
these batteries.
d. What does your interval tell you about the mean life of battery I compared to
battery II?
9. Two pain relief drugs are being considered. Drug 1 has shown in the past to have a
standard deviation o,-4 minutes. A random sample of 8 doses of the first drug
* 25
MacBook Air
Transcribed Image Text:i TextEdit File Edit Format View Window Help E Confidence Intervals Assignment (2).rtf - Ea Times New Roman Two-Population Intervals: 8. How long do new batteries last on a camping trip? A random sample of n, = 42 small camp flashlights were installed with brand I batteries and left on until the batteries failed. The sample mean lifetime was -9.8 hours with sample standard deviation s, = 2.2 hours. Another random sample of n, - 38 small flashlights of the same model were installed with brand II batteries and left on until the batteries failed. The sample mean of lifetimes was = 8.1 hours with sample standard deviation s, - 3.5 hours. a. How do you know you can create the confidence interval based on the data given (ie How do you know the data is normally distributed)? b. Should you use the Z-Distribution or T-Distribution in determining a confidence interval in this problem? Explain. c. Find a 90% confidence interval for the population difference of lifetimes for these batteries. d. What does your interval tell you about the mean life of battery I compared to battery II? 9. Two pain relief drugs are being considered. Drug 1 has shown in the past to have a standard deviation o,-4 minutes. A random sample of 8 doses of the first drug * 25 MacBook Air
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