Chapter 8: Q.2 (page 524)
The weights (in pounds) of three adult males are . The standard error of the mean of these three weights is
(a)
(b)
(c)
(d)
(e)
Short Answer
(e) The standard error of mean is
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Chapter 8: Q.2 (page 524)
The weights (in pounds) of three adult males are . The standard error of the mean of these three weights is
(a)
(b)
(c)
(d)
(e)
(e) The standard error of mean is
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Election polling Gloria Chavez and Ronald Flynn are the candidates for mayor in a large city. We want to estimate the proportion of all registered voters in the city who plan to vote for Chavez with % con铿乨ence and a margin of error no greater than . How large a random sample do we need? Show your work.
Good wood? A lab supply company sells pieces of Douglas fir inches long and inches square for force experiments in science classes. From experience, the strength of these pieces of wood follows a Normal distribution with standard deviation pounds. You want to estimate the mean load needed to pull apart these pieces of wood to within pounds with confidence. How large a sample is needed? Show your work.
- Understand how the margin of error of a confidence interval changes with the sample size and the level of confidence .
59.Blood pressure A medical study finds that and for the seated systolic blood pressure of the members of one treatment group. What is the standard error of the mean? Interpret this value in context.
Running red lights A random digit dialing telephone survey ofdrivers asked, "Recalling the last ten traffic lights you drove through, how many of them were red when you entered the intersections?" Of the respondents, admitted that at least one light had been red.
(a) Construct and interpret aconfidence interval for the population proportion.
(b) Nonresponse is a practical problem for this survey-only of calls that reached a live person were completed. Another practical problem is that people may not give truthful answers. What is the likely direction of the bias: do you think more or fewer than of the respondents really ran a red light? Why? Are these sources of bias included in the margin of error?
R8.3. Batteries A company that produces AA batteries tests the lifetime of a random sample of 40 batteries using a special device designed to imitate real-world use. Based on the testing, the company makes the following statement: 鈥淥ur AA batteries last an average of 430 to 470 minutes,
and our confidence in that interval is 95%.
(a) Determine the sample mean and standard deviation.
(b) A reporter translates the statistical announcement into 鈥減lain English鈥 as follows: 鈥淚f you buy one of this company鈥檚 AA batteries, there is a 95% chance that it will last between 430 and 470 minutes.鈥 Comment on this interpretation.
(c) Your friend, who has just started studying statistics, claims that if you select 40 more AA batteries at random from those manufactured by this company, there is a 95% probability that the mean life time will fall between 430 and 470 minutes. Do you agree? Explain.
(d) Give a statistically correct interpretation of the confidence interval that could be published in a newspaper report.
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