The following 5 questions are based on this information.

The Fullerton fire department aims to respond to fire calls in 4 minutes or less, on average. But, a random sample of 18 fire calls results in a sample average response of 4 minutes and 30 seconds (X

=4.5minutes

X=4.5minutes) and sample standard deviation of 1 minute (s=1minute

s=1minute). Assume that the random variable, response times (denoted byX),is normally distributed.

Is this sufficient statistical evidence to show that the goal of the Fullerton fire department is not being met?

Specify the null and alternative hypotheses.

Select one:

a.H(0):4

4versusH(a):<4

<4

b.H(0):4

4versusH(a):>4

The standard error (SE) ofXXis

Select one:

a.0.24

b.0.76

c.0.94

d.0.06

The test statistics value is

Select one:

a.8.33

b.2.08

c.0.53

d.0.66

The p-value isSelect one:

a.0

b.0.026

c.0.019

d.0.301

At =0.1 and using the p-value

Select one:

a.We reject H(0) in favor of H(a)

b.We do not reject H(0)