Question

The amount of fill X put into bottles of a particular brand of apple juice can be described by a normal model with mean E(X) = μ = 28 ounces and standard deviation SD(X) = σ = .85 ounces. What is the median amount of apple juice put into a bottle, that is, what is the amount k such that P(X > k) = P(X < k) = 0.50? Right-click this link standard normal table to open a standard normal table in a separate window or tab. 28 29.

28

29.96     

27.15

29.7

28.85

Answer 1

Solve this problem using

Zscore = (X - mean)/ s.d.

As x follow normal distribution

We get k = mean + Zvalue ( s.d.)

We get Z = in this case

Hence k= mean=28

Solution file is attached go through it

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