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Hello, how to I find the value of x? The problem I'm doing has a graph of 160< x < 168 with the mean of 168 and the standard deviation of 5.54. I'm having a hard time with finding what x should be. I'm supposed to assume the variable x is normally distributed. Thank you.
It would appear you have two x values. I don't know what you mean by finding the x values.
I am guessing you need to find the area under the standard normal curve.
Just use the table and subtract the two values.
From the table:
z=0 corresponds to the mean and it's value is 0.5
z=-1.444... corresponds to 0.07436...
0.5-0.07436=0.425
Here's a graph of your region. I assume this is what you're meaning.