If cars arrive to a service center randomly and independently at a rate of 5 per hour on average, ...

If cars arrive to a service center randomly and independently at a rate of 5 per hour on average, what is the probability of 0 cars arriving in a given hour?
 
  A) 0.1755
  B) 0.0067
  C) 0.0000
  D) 0.0500

Q. 2

A contract calls for the mean diameter of a cylinder to be 1.50 inches. As a quality check, each day a random sample of n = 36 cylinders is selected and the diameters are measured.
 
  Assuming that the population standard deviation is thought to be 0.10 inch and that the test will be conducted using an alpha equal to 0.025, what would the probability of a Type II error be?
  A) Approximately 0.1267
  B) About 0.6789
  C) 0.975
  D) Can't be determined without knowing the true population mean.

Q. 3

Given the following sample data
 
  Item Group 1 Group 2 Group 3 Group 4
  1 20.9 28.2 17.8 21.2
  2 27.2 26.2 15.9 23.9
  3 26.6 21.6 18.4 19.5
  4 22.1 29.7 20.2 17.4
  5 25.3 30.3 14.1
  6 30.1 25.9
  7 23.8
 
  Based on the computations for the within- and between-sample variation, develop the ANOVA table and test the appropriate null hypothesis using alpha= 0.05. Use the p-value approach.
  A) Since p-value = 0.0678 > 0.05 reject H0 and conclude that at least two population means are different.
  B) Since p-value = 0.000136 < 0.05 reject H0 and conclude that at least two population means are different.
  C) Since p-value = 0.0678 > 0.05 accept H0 and conclude that all population means are the same.
  D) Since p-value = 0.000136 < 0.05 accept H0 and conclude that all population means are the same.

Q. 4

The number of customers who enter a bank is thought to be Poisson distributed with a mean equal to 10 per hour. What are the chances that 2 or 3 customers will arrive in a 15-minute period?
 
  A) 0.0099
  B) 0.4703
  C) 0.0427
  D) 0.0053

Q. 5

A consumer group plans to test whether a new passenger car that is advertised to have a mean highway miles per gallon of at least 33 actually meets this level.
 
  They plan to test the hypothesis using a significance level of 0.05 and a sample size of n = 100 cars. It is believed that the population standard deviation is 3 mpg. Based upon this information, if the true population mean is 32.0 mpg, what is the probability that the test will lead the consumer group to accept the claimed mileage for this car?
  A) About 0.45
  B) Approximately 0.0455
  C) About 0.9545
  D) None of the above