Probability calculations using Normal Distribution

A soft drink company has recently received customer complaints about its one-liter-sized soft drink products. Customers have been claiming that the one-liter-sized products contain less than one liter of soft drink. The company has decided to investigate the problem. According to the company records, when there is no malfunctioning in the beverage dispensing unit, the bottles contain 1.02 liters of beverage on average, with a standard deviation of 0.15 liters. A sample of 50 bottles has been taken to be measured from the beverage dispensing lot. The mean amount of beverage in these 50 bottles was 0.99 liters. Find the probability of observing a sample mean of 0.99 liters or less in a sample of 50 bottles, if the beverage dispensing unit functions properly.

Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places

Solution Preview

A soft drink company has recently received customer complaints about its one-liter-sized soft drink products. Customers have been claiming that the one-liter-sized products contain less than one liter of soft drink. The company has decided to investigate the problem. According to the company records, when there is no malfunctioning in the beverage dispensing unit, the bottles contain 1.02 liters of beverage on average, with a standard deviation of 0.15 ...

... Intermediate Calculations Standard Error of the Mean 0.707106781 Degrees of ...Normal Probabilities. ... Data Mean 23.5 Standard Deviation 0.707 Probability for a ...

Probability calculation for normal distribution... standard deviation of $5,000, find the probability that. ... a standard deviation of 3.5%, find these probabilities. ...

Calculate probability under either binomial or normal distribution. All problems are to be computed by hand with work shown; type your work up in word. ...

... for the calculation of probability from normal probability . Formula for the calculation and Interpretations of the ... 1) A distribution has a standard deviation ...

Calculation of probability for normal, t , f ... Fill in the P(X = x) values in the table below to give a legitimate probability distribution for the discrete ...

... AVERAGE : To calculate mean STDEV : To calculate standard deviation NORMSDIST : To calculate normal distribution probability given z value NORMSINV : To ...