Find the critical value and test whether there is Greyhound breeder's dogs are faster than the average greyhound using large sample test.

1. Using the z table in Table E of Appendix C, what are the critical values for a two-tailed test when a = 0.03.
a. ± 2.17
b. ± 2.05
c. ± 2.33
d.± 1.88

2. The average speed of greyhound dogs is about 18.8 meters per second. A particular greyhound breeder claims that her dogs are faster than the average greyhound. In a sample of 45 of her dogs, they ran, on the average, 19.2 meters per second with a standard deviation of 1.4. Is her claim accurate if she is willing to accept an error rate of 2.5 out of 100?

i. Yes, because 1.92 falls in the noncritical region
ii. No, because 0.04 falls in the noncritical region
iii. Yes, because 0.04 falls in the noncritical region
iv. No, because 1.92 falls in the noncritical region