1. The volumes of soda in quart soda bottles are normally distributed with a mea

Question

1. The volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz. What amount of soda will separate the lowest 10% of volumes of soda? 30.764 oz 33.836 oz 32.324 oz 39.501 oz

Question 4 1. A local credit card agency reported to the government that the average unpaid balance for their customers is $5500 with a standard deviation of $500. How many customers must an auditor randomly sample to ensure that the central limit theorem will apply? Less than 30 It doesn't matter More than 100 30 or more

Question 5 1. The scores of individual students on the American College Testing (ACT) program composite college entrance examination have a normal distribution with mean 18.6 and standard deviation 6.0. Forty-nine randomly selected seniors take the ACT test. What is the probability that their mean score is greater than 20? Round your answer to 4 decimal places.

Explanation / Answer

1) for lowest 10%, z=-1.28/

hence value =32.3-1.2*1.28=30.764

4.1)30 or more

5.1)std error =std deviaiton/(n)1/2 =0.857

hence P(X>20)=1-P(Z<(20-18.6)/0.857)=1-P(z<1.63)=1-0.9488 =0.0512

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