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MMLU-Pro / 8969 / 7.4-5. A quality engineer wanted to be 98% confident that the maximum error…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

7.4-5. A quality engineer wanted to be 98%98 \% confident that the maximum error of the estimate of the mean strength, μ\mu, of the left hinge on a vanity cover molded by a machine is 0.25 . A preliminary sample of size n=32n=32 parts yielded a sample mean of x¯=35.68\bar{x}=35.68 and a standard deviation of s=1.723s=1.723. (a) How large a sample is required?
Plain-text mathematical notation (without MathML)
7.4-5. A quality engineer wanted to be 98% confident that the maximum error of the estimate of the mean strength, μ, of the left hinge on a vanity cover molded by a machine is 0.25 . A preliminary sample of size n=32 parts yielded a sample mean of (x)¯=35.68 and a standard deviation of s=1.723.
(a) How large a sample is required?
Original LaTeX notation
7.4-5. A quality engineer wanted to be $98 \%$ confident that the maximum error of the estimate of the mean strength, $\mu$, of the left hinge on a vanity cover molded by a machine is 0.25 . A preliminary sample of size $n=32$ parts yielded a sample mean of $\bar{x}=35.68$ and a standard deviation of $s=1.723$.
(a) How large a sample is required?

category

math

options

  1. $275$
  2. $210$
  3. $190$
  4. $170$
  5. $245$
  6. $257$
  7. $320$
  8. $225$
  9. $300$
  10. $150$

src

scibench-stat

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Source and history

upstream_id / Original problem ID
8969
task_id
e75bda2b-07da-582b-9374-f06928e1bc3b
task_key
default--test--8969
task_revision_id
1
config / split
default / test

Official source

initial import