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The total population of car passengers involved in traffic accidents are classified into six categories: two factors (one with 2 levels and one with 3 levels) crossed. The first factor is: Survivors (X1=0), Fatalities (X1=1). The second factor is: No Belt (X2=0), Adult Belt (X2=1), and Child Seat (X2=2). The proportions are as follow:
X1 = 0 X1 = 1------------------------------X2=0 | 0.38 | 0.17X2=1 | 0.14 | 0.02X2=2 | 0.24 | 0.05
a) Find E(X1), V(X1), E(X2), and V(X2)
b) Find cov(X1,X2)
c) Find the correlation coefficient between X1 and X2. How would you interpret the result?
Based on this information, if department employee selects random sample of n = 9 containers, determine probability that mean volume for sample will be greater than 1.01 gallons?
Compute the value of z and state your decision regarding the null hypothesis.
Analyst computes production cost per unit in each order and averages these to get $50.
A single-sample acceptance attributes sampling plan is required to have a producer's risk of 0.06 for an acceptable quality level of 0.5% nonconforming, and a consumer's risk of 0.10 for a rejectable quality level of 5% nonconforming. Use Minitab ..
If we know that the length of time it takes a college student to find a parking spot in library parking lot follows a normal distribution with mean of 3.5 minutes and a standard deviation of 1 minute, determine the probability that a randomly sele..
Testing for a linear correlation. Construct a scatter plot, find the value of the linear correlation coefficient r, and find the critical values of r from the table below using a=0.05.
At the .05 level of significance, is there evidence of a difference in variability in the shipping time between the two outlets? What decision should the carpet manufacturer make? Please provide step by step solution.
The number of girls who attend a summer basketball camp has been recorded for the seven years the camp has been offered.
the null hypothesis is to be tested at 95% confidence. Determine the critical value(s) for this test.
The lifetimes of light bulbs of a particular type are normally distributed with a mean of 370 hours and a standard deviation of 5 hours. What percentage of bulbs has lifetimes that lie within 1 standard deviation of the mean on either side?
Find the probability of a Type II error if in fact the mean waiting time is actually 9.8 minutes.
Estimate the probability that the machine will overflow an 8 oz cup.
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