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Question 1 Produce trucks arrive at the weigh station at the California border at a rate of 3 per hour according to a Poisson distribution. Livestock trucks arrive at that same weigh station at a rate of 2 per hour according to a Poisson distribution. What is the probability that the number of livestock trucks arriving at the weigh station in two hours is less than 3?
Question 2 The fraction nonconforming of assembled parts is under investigation. A completely randomized sample of 150 parts has been tested revealing that 8 are nonconforming. Can it be concluded that the fraction of nonconforming parts is greater than 0.05? Use Type I error of .01. Show ALL work, hypothesis, computations, rationale, and clearly state your conclusion.
Question 3 An average of 10 cars per hour arrive at a single server drive in bank teller. The inter arrival time is distributed exponentially. The average service time for each customer is exponentially distributed with a mean of 4 minutes. What fraction of the time is the server idle?
What is the probability a random sample of 75 students will provide a sample mean Sat score within 20 of the population mean?
Assume that stock is currently selling for $100. The change in the stock's price throughout the nest year follows a normal random variable with a mean of $10 and a standard deviation of $20.
Conduct a two-sample test of means. A study by a bank compared the average savings of customers who were depositors for three years or less with those who had been depositors for more than three years.
Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method
Evaluate the data below using the Kruskal - Wallis Nonparametric Hypothesis Test. Explain why you chose this particular nonparametric test to analyze your data.
Why is it misleading to draw the conclusion from the test above that long-time exposure to cadmium reduces the vital capacity?
a) yes, because the tst value -3.46 falls in the noncritical region. b) no, because the test value -1.98 falls in the critical region. c) yes, becasue the test value -3.46 falls in the critical region. d) no because the tst value -1.98 falls in the n..
Give the 90% confidence interval for the mean score in the population of all young women.
Critically illustrate out the aim and obejectives of factor analysis? Critically illustrate out the aim and obejectives of Cluster analysis? Critically illustrate out the aim and obejectives of Multidimensional analysis?
State the null and the alternative hypotheses. Using the p-value approach, test to determine whether or not the mean age of all employees is significantly more than 40 years.
To find the equation of the line of the best fit
Find the z score corresponding to a score of X = 60 for each of the following distributions:
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