a printer manufacturing company claims that it's new ink- efficient printer can print an average of 1500 pages of word documents with standard deviation of 60. thirty-five(35) of these printers showed a mean of 1475 pages. does this support the company's claim? use 95% confidence level.
Answers
Given : a printer manufacturing company claims that it's new ink- efficient printer can print an average of 1500 pages of word documents with standard deviation of 60.
thirty-five(35) of these printers showed a mean of 1475 pages.
To Find : does this support the company's claim? use 95% confidence level.
Solution:
Mean = 1500
SD = 60
n = 35
SD = Standard Deviation
SE = Standard Error
SE = SD/√n = 36/√35 = 6.085
Sample mean = 1475
Z for 95% confidence level. ±1.96
confidence interval
Sample Mean ± z * SE
= 1475 ± 1.96 * 6.085
= 1475 ± 11.93
= 1,463.07 to 1486.93
1500 Does not lies in 1,463.07 to 1486.93
Hence This does not support the company's claim of printer can print an average of 1500 pages
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