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A college's data about incoming freshmen indicates that the mean of their high school GPA was 3.4, with a standard deviation of 0.35. Let X=the GPA of an incoming freshman. The students are randomly assigned to writing groups of size 49.
a) Find P( xbar ≥ 3.5)
b) For P(xbar ≤ k)=0.80 find k, ie find the 80th Percentile.
Machine which fills quart milk cartons is set up to average 32.2 oz per carton, with standard deviation of 1.2 oz. Determine probability that filled carton will contain less than 32 oz of milk?
Research shows that the life time of Everlast automobile tires is normally distributed with a mean value of 70,000 miles and a standard deviation of 7,000 miles. What is the probability of having a tire that lasts more than 80,000 miles?
A population consists of 15 items, 10 of which are acceptable. In a sample of 4 items, what is the probability that exactly 3 are acceptable? Assume the samples are drawn without replacement.
Calculate a 3-period moving average for period 7. Compute the MAD of the forecast.
Using this test 80% of Down's syndrome cases can be identified at birth, while 5% of normals are detected as positive. a. What is the sensitivity and specificity of the test?
The American Sugar Producers Association wants to estimate the mean yearly sugar consumption. A sample of 16 people reveals the mean yearly consumption to be 60 pounds with a standard deviation of 20 pounds.
In the history class the mean score was 76 with standard deviation 3.
Descriptive statistic results from quarterly sales figures over a 18 year period (73 qtr) are below. Please interpret the standard Deviation and Median in terms of sales results,
In what sense is this business problem? A societal problem? An individual problem?
Scores are obtained from the Law School Admission Test (LSAT) are normally distributed with a mean score of 550 and a standard deviation of 110.
Makers of generic drugs are required to demonstrate that their generic drug does not differ significantly from the "reference" drug it is intended to imitate.
The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of the sample was 2.7 minutes.
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