The manufacturer of a laser printer reports the mean number of pages a cartridge will print before it needs replacing is 12,425.
the distribution of pages printed per cartridge closely follows the normal probability distribution and the standard deviation is 595 pages. the manufacturer wants to provide guidelines to potential customers as to how long they can expect a cartridge to last. how many pages should the manufacturer advertise for each cartridge if it wants to be correct 99 percent of the time?
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Complete Question
The complete question is shown on the first uploaded image
Answer:
The 95% confidence interval is
Step-by-step explanation:
From the question we are told that
The first sample size is
The first proportion
The second sample size is
The second proportion is
Given that the confidence level is 95% then the level of significance is mathematically represented as
From the normal distribution table we obtain the critical value of the value is
Now using the formula from the question to construct the 95% confidence interval we have
Here
=>
=>
and
=>
=>
So
