The manufacturer of a new line of ink-jet printers would like to include as part
ID: 3207730 • Letter: T
Question
The manufacturer of a new line of ink-jet printers would like to include as part of its advertising the number of pages a user can expect from a print cartridge. A sample of 10 cartridges revealed the following number of pages printed. (Use t Distribution Table.) 3,250 2,450 2,550 2,610 2,730 2,610 2,330 3,870 2,510 3,280
Develop a 95% confidence interval for the population mean. (Round your answers to 2 decimal places.)
b.Develop a 95% confidence interval for the population mean. (Round your answers to 2 decimal places.)
Explanation / Answer
For the given data, mean = 2819 and std. dev. = 462.7407
standard error = 462.7407/sqrt(10) = 146.3315
For 95% CI, t value is 2.2622
lower limit = mean - t*SE = 2819 - 2.2622*146.3315 = 2487.97
upper limit = mean + z*SE = 2819 + 2.2622*146.3315 = 3150.03
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