Question

16. A company produces packets of soap powder which are labeled “Giant Size 32 oz." The actual weight of soap powder in a packet is a normal random variable with a mean of 33 oz. and a standard deviation of 0.7 oz. If 97.5% of packets actually contain more than x ounces of soap powder, then the value of ris A. 31.628 B. 31.842 C. 34.372 D. 32.00 E. None of the above

Answer 1

16)

Given that,

P(Z > -1.96) = 0.975

z = -1.96

Using z-score formula,

x = z * $\sigma$ + $\mu$

x = -1.96 * 0.7 + 33 = 31.628

A)