Question: Show that analogous to the formula of Exercise 8 17 the
Show that, analogous to the formula of Exercise 8.17, the formula for the sample variance can be written as
Also, use this formula to calculate the variance of the following sample data on the number of service calls received by a tow truck operator on eight consecutive working days: 13, 14, 13, 11, 15, 14, 17, and 11.
Answer to relevant QuestionsShow that the formula for the sample variance can be written as Also, use this formula to recalculate the variance of the sample data of Exercise 8.18. Use Theorem 8.11 to show that, for random samples of size n from a normal population with the variance σ2, the sampling distribution of S2 has the mean σ2 and the variance 2σ4/n–1. (A general formula for the variance of ...With reference to Exercise 8.2, show that if the two samples come from normal populations, then 1 – 2 is a random variable having a normal distribution with the mean µ1 – µ2 and the variance σ21/n1 + σ22/n2. Use the result of Exercise 8.41 to show that Find the sampling distribution of the median for random samples of size 2m+ 1 from the population of Exercise 8.49.
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