ISS (Statistical Services) Statistics Paper I (Old Subjective Pattern): Questions 13 - 18 of 165

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The first three moments of a distribution about the value 1 are 2, 25 and 80. Find its mean standard deviation and the moment-measure of skewness.

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Prove that for among the discrete distributions, the geometric distribution has the lack of memory property.

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Describe clearly sign test. State its asymptotic relative efficiency with respect to t-test.

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Prove that the sum of two independent chi-squared random variables is also chi-squared.

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Two persons Amal and Bimal come to the club at random points of time between 6 p. m. and 7 p. m. , and each stays for 10 minutes. What is the chance that they will meet?

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wo drugs were given to two batches of 6 students. The numbers of days to get a complete cure are given below:

Using Mann-Whitney test decide whether the median days for cure by the two drugs are equal. (Table values of U - Statistic at 0·05 level are: U _{5, 5} = 2, U _{5, 6} = 3, and U _{6, 6} = 5. )