A taxi company has been using Brand A tires, and the distribution of kilometers to wear-out has been

A taxi company has been using Brand A tires, and the
distribution of kilometers to wear-out has been found to be approximately
normal with µ = 114,000 and σ = 11,600. Now it tries 12 tires of Brand B
and finds a sample mean of x = 117,200. Test at the 5% level of significance to
see whether there is a significant difference (positive or negative) in
kilometers to wear-out between Brand A and Brand B. Assume the standard
deviation is unchanged. Show all steps of the procedure described before
Example 9.1.

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