Chapter 9: Q.2.1 (page 539)
Describe a Type I error in this setting.
Short Answer
Type I error occurs if the null hypothesis is dismissed regardless of whether it is right.
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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Get started for freeHeat 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.
Ancient air The composition of the earthโs atmosphere may have changed over time. To try to discover the nature of the atmosphere long ago, we can examine the gas in bubbles inside ancient amber. Amber is tree resin that has hardened and been trapped in rocks. The gas in bubbles within amber should be a sample of the atmosphere at the time the amber was formed. Measurements on specimens of amber from the late Cretaceous era ( million years ago) give these percents of nitrogen:
Explain why we should not carry out a one-sample t test in this setting.
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?
Explain in plain language why a significance test that is significant at the 1% level must always be significant at the 5% level. If a test is significant at the 5% level, what can you say about its significance at the 1% level?
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
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