Chapter 9: Q.2.3 (page 539)
Which type of error is more serious in this case? Justify your answer?
type I error is more serious in this case.
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When asked to explain the meaning of the P-value in Exercise 13, a student
says, “This means there is only probability 0.01 that the null hypothesis is true.” Explain clearly why the student’s explanation is wrong.
Bottles of a popular cola are supposed to contain milliliters (ml) of cola. There is some variation from bottle to bottle because the filling machinery is not perfectly precise. From experience, the distribution of the contents is approximately Normal. An inspector measures the contents of six randomly selected bottles from a single day’s production. The results are Do these data provide convincing evidence that the mean amount of cola in all the bottles filled that day differs from the target value of ? Carry out an appropriate test to support your answer
Haemoglobin is a protein in red blood cells that carries oxygen from the lungs to body tissues. People with less than 12 grams of haemoglobin per deciliter of blood (g/dl) are anaemic. A public health official in Jordan suspects that Jordanian children are at risk of anaemia. He measures a random sample of 50 children.
Charles Darwin, author of On the Origin of Species (1859), designed an experiment to compare the effects of cross-fertilization and self fertilization on the size of plants. He planted pairs of very similar seedling plants, one self-fertilized and one cross-fertilized, in each of potat the same time. After a period of time, Darwin measured the heights (in inches) of all the plants. Here are the data:
(a) Explain why it is not appropriate to perform a paired t test in this setting.
(b) A hasty student generates the Minitab output shown below. What conclusion should he draw at the significance level? Explain
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?
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