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In: Statistics and Probability

A manufacturer produces a commodity where the length of the commodity has approximately normal distribution with...

A manufacturer produces a commodity where the length of the commodity has approximately normal distribution with a mean of 7.3 inches and standard deviation of 1.2 inches. If a sample of 34 items are chosen at random, what is the probability the sample's mean length is greater than 6.9 inches? Round answer to four decimal places. to find answer

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Expert Solution

Solution :

Given that ,

mean = = 7.3

standard deviation = =1.2

n = 34

= 7.3

= / n = 1.2 / 34 = 0.2058

P( >6.9 ) = 1 - P( <6.9 )

= 1 - P[( - ) / < (6.9 -7.3) /0.2058 ]

= 1 - P(z <-1.94 )

Using z table

= 1 - 0.0262

= 0.9738

probability= 0.9738

orchestra answered 2 years ago
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