Question 14The makers of Sweet-Things candy sell their candy by the box. Based oncompany policy, the mean target weight of all boxes is 2.0 pounds. To makesure that they are not putting too much in the boxes, the manager wants nomore than 3 percent of all boxes to contain more than 2.10 pounds of candy.In order to do this, with a mean weight of 2 pounds, what must the standarddeviation be? Assume that the box weights are normally distributed.

8/23/2015Chap 6&7 Graded HW: OIS 2340-090 Summer 2015 Business Statisticsdata:text/html;charset=utf-8,%3Cdiv%20id%3D%22questions%22%20class%3D%22assessment_results%20%20show_correct_answers%22%20style%3D%22clear…7/17-0.133 pounds1.144 poundsApproximately 0.05 poundsCorrect!

0 / 2.85 ptsQuestion 15A randomly selected value from a normal distribution is found to be 2.1standard deviations above its mean. What is the probability that a randomlyselected value from the distribution will be less than 2.1 standard deviationsfrom the mean?

2.85 / 2.85 ptsQuestion 16The makers of Sweet-Things candy sell their candy by the box. Based oncompany policy, the mean target weight of all boxes is 2.0 pounds. To makesure that they are not putting too much in the boxes, the manager wants nomore than 3 percent of all boxes to contain more than 2.10 pounds of candy.In order to do this, what should the mean fill weight be set to if the fillstandard deviation is 0.13 pounds? Assume that the box weights arenormally distributed.

8/23/2015Chap 6&7 Graded HW: OIS 2340-090 Summer 2015 Business Statisticsdata:text/html;charset=utf-8,%3Cdiv%20id%3D%22questions%22%20class%3D%22assessment_results%20%20show_correct_answers%22%20style%3D%22clear…8/17Just over 2 poundsNearly 1.27 poundsApproximately 2.33 poundsApproximately 1.86 poundsCorrect!2.85 / 2.85 ptsQuestion 17Consider a random variable, z, that has a standardized normal distribution.Determine (-2≤z≤3).

Correct!2.85 / 2.85 ptsQuestion 18A professor noted that the grades of his students were normally distributedwith a mean of 75.07 and a standard deviation of 11.65. If only 10 percent ofthe students received grades of A, what is the minimum score needed toreceive an A?85.0090.00Correct!95.00

8/23/2015Chap 6&7 Graded HW: OIS 2340-090 Summer 2015 Business Statisticsdata:text/html;charset=utf-8,%3Cdiv%20id%3D%22questions%22%20class%3D%22assessment_results%20%20show_correct_answers%22%20style%3D%22clear…9/1780.002.85 / 2.85 ptsQuestion 19A random variable is normally distributed with a mean of 25 and a standarddeviation of 5. If an observation is randomly selected from the distribution,determine two values of which the smallest has 25% of the values below itand the largest has 25% of the values above it.