A drug company is considering marketing a new local anesthetic. The effective time of the

anesthetic the drug company is currently producing has a normal distribution with a mean of

7.4 minutes with a standard deviation of 1.2 minutes. The chemistry of the new anesthetic is

such that the effective time should be normally distributed with the same standard deviation,

but the mean effective time may be lower. If it is lower, the drug company will market the

new anesthetic; otherwise, they will continue to produce the older one. A sample of size 36

results in a sample mean of 7.1. A hypothesis test will be done to help make the decision.

The appropriate hypotheses are:

For a test with a level of significance of 0.10, the critical value would be ________.

The value of the test statistic is ________.

Thep-value of the test is ________.

At a 0.10 level of significance the null hypothesis should