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1. Professor Smith's statistics midterm had a mean of 85 and a standard deviation of 8. If a student got a score of 73, what was the student's standardized (z) score?
2. What is the probability of a normal random variable taking a value more than 1.6 standard deviations above its mean?
3. What is the probability that a normal random variable will take a value between 2 standard deviations below its mean and 1 standard deviation above its mean? [In other words, between Z = -2 and Z = 1]
4. The probability is .5 that a standardized normal variable takes a value below what particular value of Z?
5. The probability is .1515 that a standardized normal variable takes a value above what particular value of Z?
6. What two Z values, symmetric around the mean, will contain 75.4% of all Z values?
7. X is a normally distributed random variable with a mean of 50 and a standard deviation of 2. What is the probability that X is less than 45?
8. A company that sells annuities must base the annual payout on the probability distribution of the length of life of the participants in the plan. Suppose the probability distribution of the lifetimes of the participants is a normal distribution with a mean of 70 years and a standard deviation of 3.5 years. What proportion of the plan recipients would receive payments beyond age 75?
9. The owner of a fish market learns that the mean weight for salmon is 12.3 pounds, with a standard deviation of 3 pounds. Assuming that the weights of salmon are normally distributed, what is the probability that a randomly selected salmon will weigh less than 10 pounds?
10. (Use the salmon information from previous problem.) The middle 95% of salmon will weigh between ____ pounds and ____ pounds.
[Don't forget the question is asking for pounds.]
One of the most important decision a manager will make is how to allocate and (or) use resources available to the company. It is vital for managers to "get it right" because the consequence may be too drastic for the company to bear.
Calculate chi-square for this table. Show your work. Draw a table just like the one above, leaving room in each cell to record these numbers: observed frequency fo), expected frequency fe), Fo -fe(f0-fe)2 and (f0-fe)2/fe
The energy information administration records per capital consumption of energy
What is the unregulated competitive equilibrium and what is the social optimum specific tax (per unit of output of gunk) results in the social optimum
What proportion of textbooks receive favourable reviews?
What if the instruments are broken, not connected to anything, or just completely wrong? This is one of the primary reasons that the sequence is so important
The average weekly earnings of the plumbers in a city is (u=$750) with a standard deviation of (SD=$40). Assume that we select a random sample of [n=65 plumber], what is the proability that the sample mean [x bar] will be greater than $740 or greater..
Find the probability of given case.
Compare and evaluate Peter Abelard notion of moral intent with that of Heloise
Find a peer-reviewed article that provides an example of a study that utilized a t-test for a single sample (on a topic of interest to you). Briefly describe the study and discuss its findings.
a. Display these results in a table that best shows the association between cannibalism and the number of sneaking males. Identify the type of table you used.
Using the five steps of hypothesis testing
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