Question: The Exclusive Tyre Co. claims that its "Regal 50" agricultural tyre can be driven for 60,000 miles before it wears out, with a standard deviation of 5000 miles and normally distributed. Prince Charles bought 48 such tyres last year, for use on vehicles on his Duchy of Cornwall estate. He found that the mean mileage was 59,500 miles. Is Prince Charles experience different to the manufacturer's claim at the 0.05 significance level? (And is the CEO of "Exclusive" safe from the Tower of London?)

(a) State the Null & Alternate Hypotheses

(b) Formulate the decision rule

(c) Decide upon the test statistic & calculate it – showing your calculations clearly

(b) Say if you reject or do not reject the Null Hypothesis