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The number of petals (X) on a Polyantha Rose is approximated by the following probability distribution. X px 30 5.3% 31 14.6% 32 60.2% 33

The number of petals (X) on a Polyantha Rose is approximated by the following probability distribution. X px 30 5.3% 31 14.6% 32 60.2% 33 14.6% 34 5.3% For a dozen (n = 12) randomly selected Polyantha Roses, find the narrowest interval that would accurately predict the mean number of petals for these selected roses 95% of the time

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