DRUGS R US is a large manufacturer of various kinds of liquid vitamins. The quality control department has noted that the bottles of vitamins marked 6 ounces vary in content with a standard deviation of 0.3 ounce. Assume the contents of the bottles are normally distributed.
a. What percentage of all bottles produced contains more than 6.51 ounces of vitamins?
b. What percentage of all bottles produced contains less than 5.415 ounces of vitamins?
c. What percentage of bottles produced contains between 5.46 and 6.495 ounces of vitamins?
d. Ninety-five percent of the bottles will contain at least how many ounces of vitamins?
e. What percentage of the bottles contains between 6.3 and 6.6 ounces of vitamins?
Question 2
In order to determine how many hours per week freshmen college students watch television, a random sample of 256 students was selected. It was determined that the students in the sample spent an average of 14 hours per week watching television. The standard deviation is 3.2 hours per week for all freshmen college students.
a. Provide a 95 confidence interval estimate for the average number of hours that all college freshmen spend watching TV per week.
b. Suppose the sample mean came from a sample of 25 students. Provide a 95 confidence interval estimate for the average number of hours that all college freshmen spend watching TV per week. Assume that the hours are normally distributed.
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