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Managerial Report
Use the tabular and graphical methods of descriptive statistics to help management develop a customer profile and to evaluate the promotional campaign. At a minimum, your report should include the following:
1. Frequency distribution for each qualitative variable.
2. A bar chart showing the number of customer purchases attributable to the method of payment.
3. A pie chart showing the marital status of customers.
4. A frequency distribution and histogram of net sales. (Begin with the first class starting at 0
and use a class width of 50)
5. A cross tabulation of type of customer (regular or promotional) versus net sales. Comment on any similarities or differences present.
6. A scatter diagram to explore the relationship between net sales and customer age.
Use the R command set.seed(111); hist(rexp(10000), breaks=35, freq=F) to generate a sample of size 10,000 from the exponential(1) distribution and to plot
A manufacturing process produces on the average two defective items per hour. What is the probability that after a defective item: One hour will pass before the next defective item and One-half hour will pass?
Determine the proportion of the data values that lies within x¯ ± 1.5s and compare with the lower bound given by Chebyshev's inequality.
Suppose we ask the students to volunteer to be in the rereading group. We accept students into this group one at a time until we have the number needed. Evaluate this strategy for assigning students to the two groups.
You want to be able to state that the population mean is lower than some value with 95% confidence.
File a claim is 0.0005. Suppose they wrote 400 policies for the coming weekend, what is the probability that exactly two claims will be filed?
Jacob is writing a paper for a machine learning conference. He has invented a "new" version of random forests:
City planners wish to estimate the mean lifetime of the most commonly planted trees in urban settings. A sample of 16 recently felled trees yielded mean age.
What is the probability that the mean weight of sixteen randomly chosen men would exceed the individual weight from part (1)?
We found our proportion of getting doubles was 15% to 16%. Using probability theory how often (i.e, what proportion of time) would you theoretically expect to roll doubles from 2 fair dice?
Of the 500 students who responded to a survey about recycling on campus, 350 said they recycle on a regular basis. The sample proportion is ??
In a shipment of 53 vials, only 13 do not have hairline cracks. If you randomly select one vial from the shipment, what is the probability that it has a hairline crack?
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