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Chapter 8: Q.3.1 (page 511)
Define the parameter of interest.
Parameter of interest is the variable on which whole focal point of the scientist lies. Here, rate of healing wounds is being estimated by the biologists. In this way, one might say that the mean healing rate of wounds is the parameter of interest.
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Bone loss by nursing mothers.: Breastfeeding mothers secrete calcium into their milk. Some of the calcium may come from their bones, so mothers may lose bone minerals. Researchers measured the per cent change in bone mineral content (BMC) of the spines of randomly selected mothers during three months of breastfeeding. The mean change in BMC was and the standard deviation was .
(a) Construct and interpret a 99% confidence interval to estimate the mean per cent change in BMC in the population.
(b) Based on your interval from (a), do these data give good evidence that on average nursing mothers lose bone minerals? Explain
Power lines and cancer Does living near power lines cause leukemia in children? The
National Cancer Institute spent 5 years and million gathering data on this question. The researchers compared children who had leukemia withwho did not. They went into the homes and actually measured the magnetic fields in children's bedrooms, in other rooms, and at the front door. They recorded facts about power lines near the family home and also near the mother's residence when she was pregnant. Result: no connection between leukemia and exposure to magnetic fields of the kind produced by power lines was found.
(a) Was this an observational study or an experiment? Justify your answer.
(b) Does this study show that living near power lines doesn't cause cancer? Explain.
How many people live in South African households? To find out, we collected data from an SRS of 48 out of the over 700,000 South African students who took part in
the CensusAtSchool survey project. The mean number of people living in a household was 6.208; the standard deviation was 2.576.
(a) Is the Normal condition met in this case? Justify your answer.
(b) Maurice claims that a 95% confidence interval for the population mean is . Explain why this interval is wrong. Then give the correct interval.
Reporting cheating What proportion of students are willing to report cheating by other students? A student project put this question to an SRS of undergraduates at a large university: 鈥淵ou witness two students cheating on a quiz. Do you go to the professor?鈥� Only 19 answered 鈥淵es.鈥�
How confident? The figure below shows the result of taking SRSs from a Normal population and constructing a confidence interval for each sample. Which confidence level鈥�, or 鈥� do you think was used? Explain
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