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As discussed in the text, it often is possible to use a theoretical distribution as an approx imation of the distribution of some sample data. It is always important, however, to check to make sure that your data really do fit the distribution you propose to use.
Consider the halfway-house data again. We calculated the sample mean x- = 380.4 and the sample standard deviation s = 217.6. Taking these as approximately equal to μ and σ, use the Z table in Appendix E to find normal cumulative probabilities for dollar costs of 200, 300, 400, 500, 600, and 700. How do these theoretical normal probabilities compare with the data-based probabilities from the CDF in Figure 10.4? Do you think that the normal distribution is an appropriate distribution to use in this case? You might sketch the normal distribution CDF and superimpose it on Figure 10.4 to obtain a visual feel for how the normal distribution fits the data.
Suppose a simple random sample of size 57 is selected from a population with = 11. Find the value of the standard error of the mean in each of the following cases. The population size is infinite.
Find the probability that the average diameter of those sand dollars is more than 2.707 centimeters. Assume that the variable is normally distributed.
A student team in a business statistics course performed a factorial experiment to investigate the time required for pain-relief tablets to dissolver in a glass of water.
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test the hypothesis using the classical approach and the p-value approach.ho p 0.45 versus hi p lt 0.45n 150 x 62 a
Think about what you have learned and how you can relate it to your profession, your daily life, or a realistic hypothetical situation. Then, create (invent) a realistic small dataset that can be best described by mode and poorly described by mean.
how many commuters must be randompy selected to estimate the mean of driving time of chicago commuters? we want 98
A drug company want to know if new drug lowest the cholesterol below the target level of 120.A random sample of 25 questions has a mean of 115 and a standard deviation of 20
the relationship assumed linear between yield of bourbon y and aging time x was studied by observing yields yi from
a questionnaire sent through the mail as part of a market research study consists of eight questions each of which can
The data comes from a set of scores on a 50 point Bilogy 101 test. 90 subjects took the test. The scores range from 12-50. How to make a simple frequency distribution table, using the raw data?
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