Posted by Joy on Sunday, January 22, 2012 at 4:14pm.
Shown below are the data giving the length of life of lights in an underground tunnel.
9.0 months 7.0 months
8.2 months 8.3 months
7.8 months 8.1 months
7.5 months 7.6 months
9.1 months 7.4 months
I calculated the standard deviation to be about 0.679.
Estimate the probability that a random chosen light will last as long as 7 months after installation. Assume the data to be described by a normal distribution.
Can anyone help me with the process I would use to calculate the answer? Thanks!

Statistics  MathGuru, Sunday, January 22, 2012 at 7:31pm
Use zscores. Find the mean. You have already calculated standard deviation.
Formula for zscores is the following:
z = (x  mean)/sd
Use 7 for x. Calculate zscore. Determine the probability using a zdistribution table.

Statistics  Joy, Sunday, January 22, 2012 at 7:42pm
Thanks for the insight!
So I've calculated the zscore to be about 1.47, or about 1.5. Looking at a zdistribution table, I see on the left a column for zscores and I see 1.5 there, but there are many values corresponding on the right?
Do you know how I know which one to use?

Statistics  Joy, Sunday, January 22, 2012 at 7:58pm
Never mind I've figured it out, THANK YOU MathGuru!
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