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Question (1)
Use the given data to construct a frequency distribution and histogram. Use 4 classes. 1) On a math test, the scores of 24 students were:
94 71 73 67 73 73 94 89 73 85 85 71 71 85 73 71 85 73 71 89 71 85 89 67
Question (2)
Use the given sample data to find the following: a) mean, b) median, c) mode, d) standard deviation: 91 25 91 13 25 29 56 91
Question (3)
Find the mean and standard deviation for the given probability distribution. USE EXCEL!
Find the indicated probability 4-7
Question (4)
A company purchases shipments of machine components and uses this acceptance sampling plan: Randomly select and test 23 components and accept the whole batch if there are fewer than 3 defectives. If a particular shipment of thousands of components actually has a 8% rate of defects, what is the probability of fewer than 3 defectives? (Attach the entire distribution to the exam)
Question (5)
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 is the probability that the volume of soda in a randomly selected bottle will be less than 33 oz?
Question (6)
The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. What is the probability that a pregnancy lasts at least 275 days?
Question (7)
Assume that women's heights are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 women are randomly selected, find the probability that they have a mean height between 62.5 inches and 64.0 inches.
Problems 8 - 10. Assume that simple random samples from normal distributions are chosen
Question (8)
The health of employees is monitored by periodically weighing them in. A sample of 60 employees has a mean weight of 182.4 lb. Assuming that Η is known to be 121.2 lb, use a 0.05 significance level to test the claim that the population mean of all such employees weights is less than 200 lb. In addition construct a 90% confidence interval.
Question (9)
In a sample of 160 children selected randomly from one town, it is found that 40 of them suffer from asthma. At the 0.01 significance level, test the claim that the proportion of all children in the town who suffer from asthma is 15%. In addition construct a 99% confidence interval.
Question (10)
A cereal company claims that the mean weight of the cereal in its packets is greater than 14 oz. The weights (in ounces) of the cereal in a random sample of 8 of its cereal packets are listed below. 14.6 13.8 14.1 13.7 14.0 14.4 13.6 14.2
