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suppose a company invents a new design for their product that they hope will result in...

suppose a company invents a new design for their product that they hope will result in a longer lifetime. they randomly sample 28 of their product and record the lifetime in years for each of them. based on this , they calculate a 95% confidence interval which turns out being (1.40,1.57)
a) what is the average and standard deviation from their sample?
b) a representative of the company claims that based on these results, they can safely say only ~2.5% of their light bulbs should have a lifetime shorter than 1.40 years. why is this wrong?
Math   Statistics-And-Probability   
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