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Chapter 4: Q9P (page 92)
What is the meaning of a confidence interval?
Thus, the specific probability, an interval that contains the accepted/true value (confidence level).
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What fraction of vertical bars in Figure 4-5a is expected to include the population mean (10000) if many experiments are carried out? Why are the 90 % confidence interval bars longer than the 50 % bars in Figure 4-5?
(a) Calculate the fraction of bulbs in Figure 4 - 1 expected to have a lifetime greater than 1005.3h.
(b) What fraction of bulbs is expected to have a lifetime between 798.1 and 901.7h?
(c) Use the Excel NORMDIST function to find the fraction of bulbs expected to have a lifetime between 800and 900h.
Use Table 4-1 to state what fraction of a Gaussian population lies within the following intervals:
(a)
(b)
(c)to
(d)to
(e)to
Which statement about the F test is true? Explain your answer.
(i) If, there is more than a 5%chance that the two sets of data are drawn from populations with the same population standard deviation.
(ii) If, there is at least 95%probability that the two sets of data are drawn from populations with the same population standard deviation.
List the three different cases that we studied for comparison of means, and write the equations used in each case.
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