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1. PLEASE HELP AND EXPLAIN STEP BY STEP A soda machine dispenses beverages whose volumes are approximately normally distributed. a. Compute a 95% confidence interval

1. PLEASE HELP AND EXPLAIN STEP BY STEP

A soda machine dispenses beverages whose volumes are approximately normally distributed.

a. Compute a 95% confidence interval for the population mean amount of beverage dispensed by this machine based on a random sample of 46 drinks dispensing an average of 2.15 dl with a sample standard deviation of 0.05 deciliters (dL). Show all work.

b. What conditions are necessary for this confidence interval procedure?

c. Explain the meaning of the confidence interval you constructed.

d. Would a 90% confidence interval be narrower or wider? Explain.

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