When packing fruit for export it is important to know the variability of fruit size ( maximum diameter of the fruit). A fruit with a low caliber is priced at a low price with a high caliber gives problems in packing. From the total production of 500 m are assumed to have approximately normally distributed sizes, a sample of 13 mi selected. The size measurements (in cm) were as follows: 20.8, 19.3, 19.5, 22.4, 27.3, 19.6, 20.5, 20.2, 20.4, 19.0, 19.8, 22 A)Determine the confidence intervals, at 90% confidence level, for the mean and

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When packing fruit for export it is important to know the variability of fruit size (which is the
maximum diameter of the fruit). A fruit with a low caliber is priced at a low price and a fruit
with a high caliber gives problems in packing. From the total production of 500 melons, which
are assumed to have approximately normally distributed sizes, a sample of 13 melons was
selected. The size measurements (in cm) were as follows:
20.8, 19.3, 19.5, 22.4, 27.3, 19.6, 20.5, 20.2, 20.4, 19.0, 19.8, 22.2, 20.6
A)Determine the confidence intervals, at 90% confidence level, for the mean and variance of
the size in production.
b) How large should the sample size be to be able to estimate the average size in production
with a maximum estimation error of 1 cm and a confidence level of 95 %?
Transcribed Image Text:When packing fruit for export it is important to know the variability of fruit size (which is the maximum diameter of the fruit). A fruit with a low caliber is priced at a low price and a fruit with a high caliber gives problems in packing. From the total production of 500 melons, which are assumed to have approximately normally distributed sizes, a sample of 13 melons was selected. The size measurements (in cm) were as follows: 20.8, 19.3, 19.5, 22.4, 27.3, 19.6, 20.5, 20.2, 20.4, 19.0, 19.8, 22.2, 20.6 A)Determine the confidence intervals, at 90% confidence level, for the mean and variance of the size in production. b) How large should the sample size be to be able to estimate the average size in production with a maximum estimation error of 1 cm and a confidence level of 95 %?
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