Bottlesof a coffee powdered drink from Hescaféare marked "30 grams". It was determined from the sample of 36 randomly selected cans that the mean weight of the content is 27.5 grams and the standard deviation is 7.5 grams. a.Determine the standard error b.Construct a 95% confidence interval, provide the margin of error. c.Construct a 95% one-sided confidence bound, provide the margin of error. Interpret.

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Bottlesof a coffee powdered drink from Hescaféare marked "30 grams". It was determined from the sample of 36 randomly selected cans that the mean weight of the content is 27.5 grams and the standard deviation is 7.5 grams.
a.Determine the standard error
b.Construct a 95% confidence interval, provide the margin of error.
c.Construct a 95% one-sided confidence bound, provide the margin of error. Interpret.
d.Assuming that the population is normally distributed, test to see if the mean of the population is at least 30 grams. Using .01level of significance
e.Applying to the same hypotheses, use a .075 level of significance.

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