The manufacture of large liquid crystal displays (LCD's) is difficult. Some defects are minor and can be removed; others are unremovable. The number of unremovable defects, for each of \(n=45\) displays (Courtesy of Shiyu Zhou)

has \(\bar{x}=2.467\) and \(s=3.057\) unremovable defects. What can one assert with \(98 \%\) confidence about the maximum error if \(\bar{x}=2.467\) is used as a point estimate of the true population mean number of unremovable defects?

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