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Chapter 8: Q. 59 (page 518)
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.
The standard error of the mean is .
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R8.4. We love football! A recent Gallup Poll conducted telephone interviews with a random sample of adults aged 18 and older. Data were obtained for people. Of these, said that football is their favorite sport to watch
on television.
(a) Define the parameter in this setting. Explain to someone who knows no statistics why we can鈥檛 just say that of all adults would say that football is their favorite sport to watch on television.
(b) Check conditions for constructing a confidence interval for .
(c) Construct a 95% confidence interval for p.
(d) Interpret the interval in context.
How common is SAT coaching? A random sample of students who took the SAT college entrance examination twice found that of the respondents had paid for coaching courses and that the remaining had not. Construct and interpret a confidence interval for the proportion of coaching among students who retake the SAT. Follow the four-step process.
Engine parts Here are measurements (in millimeters) of a critical dimension on an SRS of of the more than auto engine crankshafts produced in one day:
, , ,
(a) Construct and interpret a confidence interval for the process mean at the time these crankshafts were produced.
(b) The process mean is supposed to be but can drift away from this target during production. Does your interval from part (a) suggest that the process mean has drifted? Explain.
- Determine the sample size required to obtain a level confidence interval for a population mean with a specified margin of error.
School vouchers A national opinion poll found that % of all American adults agree that parents should be given vouchers that are good for education at any public or private school of their choice. The result was based on a small sample.
(a) How large an SRS is required to obtain a margin of error of (that is, ) in a % con铿乨ence interval? Answer this question using the previous poll鈥檚 result as the guessed value for .
(b) Answer the question in part (a) again, but this time use the conservative guess . By how much do the two sample sizes differ?
64. Vitamin C content Several years ago, the U.S. Agency for International Development provided metric tons of corn-soy blend (CSB) for
emergency relief in countries throughout the world. CSB is a highly nutritious, low-cost fortified food. As part of a study to evaluate appropriate vitamin C levels in this food, measurements were taken on samples of CSB produced in a factory. The following data are the amounts of vitamin C,
measured in milligrams per grams (mg/100 g) of blend, for a random sample of size from one production run:
Construct and interpret aconfidence interval for the mean amount of vitamin C M in the CSB from this production run.
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