(a) A diet program claims that the average amount of water a person on a diet should drink daily to lose weight is 5 litres. A random sample of 14 people enrolled in the diet program found that the average consumption is 4.6 litres with a standard deviation of 0.365 litres. Is the diet program’s claim valid? (b) When Vera Wang was the design director of Ralph Lauren Women’s Wear, she was surprised to find that wedding dresses cost an average of $4,000. So, she opened her own business – Vera Wang Bridal House – and sells designer-label wedding dresses for an average retail price of $3,800. (i) Assume that the price of Vera Wang’s designer-label wedding dresses is normally distributed with a standard deviation of $500. What is the probability that a randomly selected wedding dress costs more than $4,500? (ii) Between what two symmetrical prices (symmetrical about the mean) would 80% of the designer-label wedding dresses at Vera Wang Bridal House be priced?
(a) A diet program claims that the average amount of water a person on a diet should drink daily to lose weight is 5 litres. A random sample of 14 people enrolled in the diet program found that the average consumption is 4.6 litres with a standard deviation of 0.365 litres. Is the diet program’s claim valid?
(b) When Vera Wang was the design director of Ralph Lauren Women’s Wear, she was surprised to find that wedding dresses cost an average of $4,000. So, she opened her own business – Vera Wang Bridal House – and sells designer-label wedding dresses for an average retail price of $3,800.
(i) Assume that the price of Vera Wang’s designer-label wedding dresses is
(ii) Between what two symmetrical prices (symmetrical about the mean) would 80% of the designer-label wedding dresses at Vera Wang Bridal House be priced?
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