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Over the years, projected due dates for expectant mothers have been notoriously bad at a large metropolitan hospital. The physicians attended an in-service program to develop techniques to improve their projections. In a recent survey of 100 randomly selected mothers who had delivered a baby at the hospital since the in-service, the average number of days to birth beyond the projected due date was 9.2 days with a standard deviation of 12.4 days.
a. Describe how to select the random sample of 100 mothers.
b. Estimate the mean number of days to birth beyond the due date using a 95% confidence interval. Interpret this interval.
c. If the mean number of days to birth beyond the due date was 13 days prior to the inservice, is there substantial evidence that the mean has been reduced? What is the level of significance of the test?
d. What factors may be important in explaining why the doctors' projected due dates are not closer to the actual delivery dates?
1. an srs of size 10 is drawn from a population that has a normal distribution. the sample has a mean of 111 and a
The samples do indicate that university A's students are younger than university B's; but is the difference significant at the 1% level?
a) Define your random variables, and use them to express the farmer's net income. b) Find the mean of the net income. c) Find the standard deviation of the net income. d) Do you need to make any assumptions in calculating the mean? How ab..
given the returns and probabilities for the three possible states listed here calculate the covariance between the
(a) What are the states of nature? What is the decision space? Write the utility table. (b) Suppose that you believe that the probability of heads is 2/3. What is your price for the states of nature? Find the expected gains.
you have obtained a sub-sample of 1744 individuals from the current population survey cps and are interested in the
A decade-old study found that the proportion, p, of high school seniors who believed that "getting rich" was an important personal goal was 75%. A researcher decides to test whether or not that percentage still stands.
On the other hand, if the market is unfavorable. ken will suffer a loss of $200.000. But ken has always been a very optimistic decision maker.
Consider a machine that fills soda bottles. The process has a mean of 15.9 ounces and a standard deviation of 0.06 ounces. The specification limits are set between 15.8 and 16.2 ounces. a) Compute and interpret the machine's Cp
assume that a procedure yields a binomial distrubition with a trial repeated n times. use the binomial probability
The manager wants to test whether the average commission is $439 per month. A random sample of 100 observations is available. What statistical test is best in this situation? Why?
In our discussions of basic probability theory the concepts of mutually exclusive events and independent events share prominent roles.
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