Question

In: Statistics and Probability

Suppose that the pH measurements of the field from the question above follow a normal distribution...

Suppose that the pH measurements of the field from the question above follow a normal distribution with mean 11 pH and standard deviation 2 pH. What is the probability that the engineer obtains a sample mean (with n = 5) greater than 11.8 pH? Assume each measurement is independent of each other.

Expert Solution

Solution :

Given that,

mean = = 11

standard deviation = =2

n=5

= =11

= / n = 2 / 5 = 0.8944

P( > 11.8) = 1 - P( < 11.8)

= 1 - P[( - ) / < (11.8-11) /0.8944 ]

= 1 - P(z < 0.89)

Using z table

= 1 - 0.8133

= 0.1867

probability= 0.1867

orchestra answered 2 years ago

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