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Let X, , X 2 , • • • , x., be a random sample of size n = S from the normal distribution N(O, 9).
(a) Argue that the ratio R = (X + Xi)/(Xi + · ··+ ..¥;) and its denomi nator (Xi + ··· + ..¥;) are independent.
(b) Does SR/ 2 have an £-distribution with 2 and S degrees of freedom? Explain your answer.
(c) Compute E(R) using Exercise 7.60.
sams bowling scores are approximately normally distributed with mean 150 and standard deviation 23 while jacks scores
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the citizens of a certain community were asked to choose their favorite pet. the pie chart below shows the distribution
computed using a Binomial Distribution
Stratum 2 contains 500 invoices, stratum 1,000 invoices, and stratum 4 contains 3,450 invoices. A sample of 500 sales invoices is needed. What type of sampling should you do? Why?
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a resent report indicated an average family of four 2 parents and 2 children under the age of 16 spends 500 per month
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Calculate separately for 1983 and 1987, the 95% confidence interval for the proportion of students who had driven an automobile while drinking.
The owner of a restaurant has just changed the delivery process in order to reduce the mean time between the order and completion of delivery from the current 25 minutes.
Find the correlation coefficient for the data. Find the equation for the regression line for the data and predict the final grade of a student who misses 3.5 days.
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