Question

In: Statistics and Probability

3.14 The first application listed in Section 3.7 involved British insurance claims. The 2005 median was...

3.14

The first application listed in Section 3.7 involved British insurance claims.

The 2005 median was £1570. A random sample of 14 claims from a large batch

Received in the first quarter of 2006 were for the following amounts (in £):

1175 1183 1327 1581 1592 1624 1777 1924 2483 2642 2713 3419 5350 7615

What test do you consider appropriate for a shift in median relative to the 2005 median. Would a one-tail test be appropriate? Obtain a 95 percent confidence interval for the median based upon these data. If all amounts were converted to, say, Burma or to $138, would your conclusions be the satire?

I NEED TO GET TO THIS ANSWER: TESTING Ho = 1570, TWO TAIL P= 0.570. ONE TAIL P= 0.0287. 94.3 PERCENT CONFIDENCE INTERVAL BASED ON SIGN TEST IS 1581. BUT THE EVIDENCE IS NOT STRONG THAT CHANGING CURRENCY WOULD ALTER THE CONCLUSION.

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