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1. Use the following contingency table:
A B Total
1 20 30 50
2 30 20 50
Total 50 50 100
(a) Find the expected frequency for each cell?
(b) Compute X stat square? Is it significant at alpha-0.05?
2. The following table contains the probability distribution for X=the number of traffic accidents reported each day.
X 0 1 2 3 4 5
P(X) 0.10 0.20 0.45 0.15 0.05 0.05
(a) The probability of 3 accidents is?
(b) The mean or expected value of the number of accidents is?
(c) The variance of the number of accidents is?
(d) The standard deviation of the number of accidents is?
Suppose 80% of kids who visit a doctor have a fever, and 20% of kids with a fever have a sore throats. What's the probability that a kid who goes to the doctor has a fever and a sore throat?
Let X be the number of tumors in a fish living in a river. Suppose that it has the following probability mass function f(0) = 0.9 f(1) = 0.7 f(2) = 0.02 f(3) = 0.01 A random sample of size n = 30 is selected from this population. Approximate the p..
Determine if there is reason to reject the claim made by Winston Tire Company and conclude that tires last for less than 40,000 miles.
The average salary for graduates entering the actuarial field is $40,000. If the salaries are normally distributed with a standard deviation of $5,000, find the probability that
Explain whether the authors used a population or a sample. Explain how this could have affected the results. If a sample was used, was it representative of the entire population? Why or why not?
The animal colony in the reseach department contains 20 male rats and 30 female rats. Of the 20 males, 15 are white and 5 spotted. Of the 30 females, 15 are white, and 15 are spotted.
What characterizes a regular definition (dictionary) and an operational definition? What is the purpose of sampling?
Using test data on 20 types of laundry detergent, an analyst fitted a regression to predict CostPerLoad (average cost per load in cents per load) using binary predictors.
Overall, the students' class attendance days (per year academic) is normally distributed around 180 days with a standard deviation of 15 days. What's the probability that the mean number of attendance days will be between 190 and 200?
In all, 53 say "good." Does the poll give reason to conclude that more than half of all seniors think their job prospects are good? The hypotheses for a test to answer this question are?
Compute the appropriate Test Statistic to test null hypothesis that mean of population is 4.3 against alternative hypothesis μ ≠ 4.3.
Show the histograms and calculate their means and variances and comment on your findings.
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