You work in a factory producing slabs of concrete for the Victoria's Wharf development in Hong Kong. The slabs are known to have normally distributed weights with a standard deviation of 10 kg, and the factory's reported average slab weight is 1,100 kg. You select a sample of 10 slabs for quality control. The 10 slabs have a mean weight of 1150 kg.

(i) Calculate the 95% confidence interval (where = 1.96) for the mean weight of concrete slabs produced in your factory.

(ii) Is the factory's reported average slab weight within the 95% confidence interval calculated in (i)?