Solar panels produced by Perfect Circle Technology (corporate motto: Don’t Be Oval) have an average life of 16.7 years, with a standard deviation of 1.2 years. A random sample of 36 Perfect Circle panels is selected.
a. What is the probability that the average panel life in the sample will be somewhere between 16.5 and 16.9 years?
b. What is the probability that the average panel life in the sample will be less than 16.4 years?
c. It is approximately 68.3% likely that the sample aver-age will be within ± _____ standard error(s) of the population mean, 16.7 years. (The standard error referred to here is the standard deviation of the sampling distribution, σx–.)
d. It is approximately 95.5% likely that the sample aver-age will be within ± _____ standard error(s) of 16.7 years. (The standard error referred to here is the standard deviation of the sampling distribution, σx–.)