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A small independent bank makes loans as small as for horses and pickup trucks to items as large as tracts of land. Total monthly loan requests are used by bank officials as an indicator of economic business conditions in the community. The mean monthly loan request for the past several years has been 615.1 (in thousands of dollars) with a standard deviation of 11.2 (in thousands of dollars). The distribution of loan requests is approximately mound shaped and symmetrical. The table below gives the loan requests (in thousands of dollars) for the past 12 months. Would you say that the local business economy is heating up or cooling down? Explain your answer. Graph the data.
Month 1 2 3 4 5 6 7 8 9 10 11 12Loan request 619.3 625.1 610.2 614.2 630.4 615.9 617.2 610.1 592.7 596.4 585.1 588.2
What is the null hypothesis in a chi-squared test of independence? List the assumptions under which the linear regression model is supposed to work.
A new product has the following profit projections, associated probabilities, and indifference probability:
A random variable X that has pmf given by p(x) = 1/ (n+1) over the range Rx = {0,1,2,...,n} is said to have a discrete uniform distribution. Find the mean and variance of this distribution.
If a fair six-sided die is rolled 1200 times, find the probability that an even number will occur at most 620 times.
Assume that the annual rate of return for a common biotechnology stock is normally distributed with a mean of 5.5% and a standard deviation of 6%.
Suppose it is known that if you offer free samples o a product, at least 52% of adults are more likely to buy the product. You interview a random sample of 50 adults.
The mean diameter is 124 millimeters and the standard deviation is 5 millimeters. Find the probability that the diameter of a selected ebaring is between 128 and 132 millimeterds.
Calculate the limits within which the weight of the packets should lie assuming that the machine is not been classified as faulty.
The level of various substances in the blood of kidney dialysis patients is of concern because kidney failure and dialysis can lead to nutritional problems.
Which sessions, morning or afternoon, had more stable or uniform attendance over three-day period? Describe by using the suitable calculation for each data set and compare two calculations .
Assume that a single radar unit used to detect incoming missiles has a probability of 0.90 of correctly detecting an incoming missile attack.
A plus four 95% confidence interval for the difference between the two population proportions of wrist injuries is: A. 0.2909 ± 0.1674. B. 0.2909 ± 0.1069. C. 0.2909 ± 0.0907. D. 0.2909 ± 0.1275
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