SOLUTION: A normal distribution has a mean of 85.5 and a standard deviation of 4.83. Find the data value corresponding to the value of z given. (Enter your answer to four decimal places.) z

Algebra ->  Probability-and-statistics -> SOLUTION: A normal distribution has a mean of 85.5 and a standard deviation of 4.83. Find the data value corresponding to the value of z given. (Enter your answer to four decimal places.) z      Log On


   

Question 1205279: A normal distribution has a mean of 85.5 and a standard deviation of 4.83. Find the data value corresponding to the value of z given. (Enter your answer to four decimal places.)
z = 0.55
Answer by MathLover1(20850) About Me  (Show Source):
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given:
mean, mu+=+85.5
standard deviation, sigma+=+4.83
z+=+0.55
plug it in a normal distribution formula:
z=%28x-mu%29%2Fsigma
0.55=%28x-85.5%29%2F4.83
0.55%2A4.83=x-85.5
2.6565%2B85.5=x
x=88.1565