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Refer to Table 2.7 on mother's drinking and infant malformations.a. Fit the logistic regression model using scores {0, 0.5, 1.5, 4, 7} for alcohol consumption. Check goodness of fit.b. Test independence using the likelihood-ratio test for the model in (a). (The trend test of Section 2.5.1 is the score test for this model.) c. The sample proportion of malformations is much higher in the highest alcohol category because, although it has only one malformation, its sample size is only 38. Are the results sensitive to this single observation? Re-fit the model without it, entering 0 malformations for 37 observations, and compare the results of the likelihood-ratio test. (Because results are sensitive to a single observation, it is hazardous to make conclusions, even though n was extremely large.)d. Fit the model and conduct the test of independence for all the data using scores {1, 2, 3, 4, 5}. Compare the results with (b). (Results for highly unbalanced data can be sensitive to the choice of scores.)
Identify the significance level, the test statistic, and the critical value, state whether you are rejecting or failing to reject the null hypothesis statement and explain how the results could be used by the manager of the company.
The length of a rectangular swimming pool is 2x - 1 meters, and the width is x + 2 meters. Write a polynomial that represents the area. Find the area if x is 5 meters.
Find the expectation and variance of the benefits when (a) benefits are payable at the end of the year of death; (b) benefits are payable at the moment of death.
1. Given the recurrence relations. Find T(1024).
A manufacturer claims that he makes light bulbs each of which has a 0.9 probability of operating successfully when plugged in.
Assume that the two groups come from populations with the same standard deviation. Test the claim that the mean score of women is equal to a mean score of men using a 0.02 significance level.
The city of Oakdale wishes to see if there is a linear relationship between the temperature and the amount of electricity used (in kilowatts).
How many subjects must be tested to determine the effectiveness of the product?
a. Define variables that would tell how many units to purchase from each source. b. Develop an objective function that would minimize the total cost.
We did a Google search of "videos for law of large numbers" and "videos for the central limit theorem" and found several links.
Suppose that 30% of all adults in Ohio support the increase. The probability that at least 800 people support the increase is?
The mean number of cargo ships that arrive at a port is 3 per day. The port has staff and facilities to handle up to 6 ships in a day. Using the Poisson distribution, find the probability that, on a given day,
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