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Chapter 9: Q.2.1 (page 539)
Describe a Type I error in this setting.
Type I error occurs if the null hypothesis is dismissed regardless of whether it is right.
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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’s suspicion.
Heat through the glass How well materials conduct heat matters when designing houses, for example. Conductivity is measured in terms of watts of heat power transmitted per square meter of surface per degree Celsius of temperature difference on the two sides of the material. In these units, glass has conductivity about . The National Institute of Standards and Technology provides exact data on properties of materials. Here are measurements of the heat conductivity of randomly selected pieces of a particular type of glass:
Is there convincing evidence that the conductivity of this type of glass is greater than ? Carry out a test to help you answer this question.
Asked to explain the meaning of “statistically significant at the A 0.05 level,” a
student says, “This means that the probability that the null hypothesis is true is less than 0.05.” Is this explanation correct? Why or why not?
Does Friday the have an effect on people's behavior? Researchers collected data on the numbers of shoppers at a sample of different grocery stores on Friday the and Friday the in the same month. The dotplot and computer output below summarize the data on the difference in the number of shoppers at each store on these two days (subtracting in the order minus ).
Researchers would like to carry out a test of versus , where is the true mean difference in the number of grocery shoppers on these two days. Which of the following conditions for performing a paired test is not met?
1. Random
II. Normal
III. Independent
(a) I only
(b) II only
(c) III only
d) I and II only
(e) I, II, and III
A random sample of likely voters in a small city produced voters in favor of Candidate A. The observed value of the test statistic for testing the null hypothesis versus the alternative hypothesis is
(b).
(c).
(d).
(e).
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