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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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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.
High tuition costs Glenn wonders what proportion of the students at his school think that tuition is too high. He interviews an SRS of of the students at his college. Thirty-eight of those interviewed think tuition is too high.
63. Give it some gas! Computers in some vehicles calculate various quantities related to performance. One of these is fuel efficiency, or gas mileage, usually expressed as miles per gallon (mpg). For one vehicle
equipped in this way, the miles per gallon were recorded each time the gas tank was filled and the computer was then reset. Here are the mpg values for a random sample of of these records:
Construct and interpret a confidence interval for the mean fuel efficiency M for this vehicle.
Can you taste PTC? PTC is a substance that has a strong bitter taste for some people and is tasteless for others. The ability to taste PTC is inherited. About % of Italians can taste PTC, for example. You want to estimate the proportion of Americans who have at least one Italian grandparent and who can taste PTC.
(a) How large a sample must you test to estimate the proportion of PTC tasters within with % confidence? Answer this question using the % estimate as to 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?
57. Critical values What critical value t* from Table B would you use for a confidence interval for the population mean in each of the following situations?
(a) A confidence interval based on observations.
(b) A confidence interval from an SRS of observations.
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