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In: Statistics and Probability

A certain type of cable has a mean breaking point of 159 pounds with a standard...

A certain type of cable has a mean breaking point of 159 pounds with a standard deviation of 6 pounds. What weight should be specified so that 95​% of the cables can be expected not to break supporting that​ weight?

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Expert Solution

Answer:

Given that:

A certain type of cable has a mean breaking point of 159 pounds with a standard deviation of 6 pounds.

Mean () = 159

Standard deviation ()=6

The z-score is 3.33 for top 95% that is for A=0.500

For a normal distribution with mean and standard deviation the size is

Here x is the non standard distribution to a z-score

To find the cutoff for an F,plug in , z-score in the above formula and solve for x

So

Therefore,the cutoff of breaking point of a certain type of cable in the top 95% is 179 pounds

orchestra answered 1 year ago
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