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Chapter 9: Q.9 (page 546)
In planning a study of the birth weights of babies whose mothers did not see a doctor
before delivery, a researcher states the hypotheses as
The problem is correct as the population mean value is as per null hypothesis and population mean value is less than as per alternative hypothesis,
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The P-value for a two-sided test of the null hypothesis is
(a) Does theconfidence interval forinclude ? Why or why not?
(b) Does the confidence interval forinclude ? Why or why not
Slow response times by paramedics, firefighters, and policemen can have serious consequences for accident victims. In the case of life-threatening injuries, victims generally need medical attention within 8 minutes of the accident. Several cities have begun to monitor emergency response times. In one such city, the mean response time to all accidents involving life-threatening injuries last year was M 6.7 minutes. Emergency personnel arrived within 8 minutes after 78% of all calls involving life-threatening injuries last year. The city manager shares this information and encourages these first responders to 鈥渄o better.鈥� At the end of the year, the city manager selects an SRS of 400 calls involving life-threatening injuries and examines the response times.
(a) State hypotheses for a significance test to determine whether the average response time has decreased. Be sure to define the parameter of interest.
(b) Describe a Type I error and a Type II error in this setting, and explain the consequences of each.
(c) Which is more serious in this setting: a Type I error or a Type II error? Justify your answer.
Tests and CIs The P-value for a one-sided test of the null hypothesisis .
(a) Does the confidence interval for include ? Why or why not?
(b) Does the confidence interval for include ? Why or why not?
During the winter months, the temperatures at the Colorado cabin owned by the Starnes family can stay well below freezing (32掳F or 0掳C) for weeks at a time. To prevent the pipes from freezing, Mrs Starnes sets the thermostat at 50掳F. The manufacturer claims that the thermostat allows variation in-home temperature of S 3掳F. Mrs Starnes suspects that the manufacturer is overstating how well the thermostat works.
Anemia Hemoglobin is a protein in red blood cells that carries oxygen from the lungs to body tissues. People with fewer than grams of hemoglobin per deciliter of blood are anemic. A public health official in Jordan suspects that Jordanian children are at risk of anemia. He measures a random sample of children. Check the conditions for carrying out a significance test of the official鈥檚 suspicion.
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