(a)
To Calculate: the sample mean and standard deviation.
(a)
Answer to Problem 10.59RE
Mean=7.5 hours or 45 minutes
Standard deviation = 64.5363 minutes
Explanation of Solution
Given:
95% confidence interval: 7.5 hour =20 minutes
Formula used:
Calculation:
The sample mean is the first value given in the confidence interval:
Since the
Margin of error:
Solving the formula to the sample standard deviation
(b)
To Explain: that a researcher translates the statistical announcement into plain English, comment on this interpretation.
(b)
Answer to Problem 10.59RE
Incorrect interpretation
Explanation of Solution
The interpretation of the researcher is not correct, because the interpretation is a single observation, where the confidence interval is about the population mean.
(c)
To Explain: that about the claim agree or not.
(c)
Answer to Problem 10.59RE
No
Explanation of Solution
The interpretation researcher is not correct, because the interpretation is about the sample mean, where the confidence interval is about the population mean.
(d)
To find: the statistically correct interpretation of the confidence interval that could be published in a newspaper report.
(d)
Answer to Problem 10.59RE
There is 95%confident that the mean life time of all AA batteries is between 430 minutes and 470 minutes.
Explanation of Solution
The statistically correct interpretation of the confidence interval is that could be published in a newspaper report. There is 95%confident that the mean life time of all AA batteries is between 430 minutes and 470 minutes.
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Chapter 10 Solutions
Statistics Through Applications
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