Question

The cost of ink cartridges for inkjet printers can be substantial
over the life of a printer. Printer manufacturers publish the
number of pages that can be printed from an ink cartridge in an
effort to attract customers. A company claims that its black ink
cartridge will yield

492492

pages. To test this claim, an independent lab measured the page
count of

4949

cartridges and found the average page count to be

486.1486.1.

Assume the standard deviation for this population is

4444.

Using a

9595%

confidence interval, does this sample support the company's
claim?

Select the correct choice below, and fill in the answer boxes to
complete your choice.

(Round to two decimal places as needed.)

A.

YesYes,

because the company's claim

isnothing

between the lower limit of

nothing

pages and the upper limit of

nothing

pages for the average number of pages yielded by a single black
cartridge.

B.

NoNo,

because the company's claim

isnbsp not not

between the lower limit of

nothing

pages and the upper limit of

nothing

pages for the average number of pages yielded by a single black
cartridge.

Answer #1

95% confidence interval for is

- Z * / sqrt(n) < < + Z * / sqrt(n)

486.1 - 1.96 * 44 / sqrt(49) < < 486.1 + 1.96 * 44 / sqrt(49)

473.78 < < 498.42

95% CI is **( 473.78 , 498.42)**

Claimed mean 492 is between above confidence interval so we have sufficient evidence to support

the claim.

Yes, because the company's claim is 492 between lower limit of 473.78 and upper limit of 498.42

pages for the average number of pages yielded by a single black cartridge.

The cost of ink cartridges for inkjet printers can be
substantial over the life of a printer. Printer manufacturers
publish the number of pages that can be printed from an ink
cartridge in an effort to attract customers. A company claims that
its black ink cartridge will yield 495 pages. To test this claim,
an independent lab measured the page count of 47 cartridges and
found the average page count to be 485.8 Assume the standard
deviation for this population...

The cost of ink cartridges for inkjet printers can be
substantial over the life of a printer. Printer manufacturers
publish the number of pages that can be printed from an ink
cartridge in an effort to attract customers. A company claims that
its black ink cartridge will yield an average 2 comma 387 pages. To
test this claim, an independent lab measured the page count of 62
cartridges and found the average page count to be 2 comma 211.4.
Assume...

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