Botanists placed seed baits at 5 sites in region A (1) and 6 sites in region B (2) and observed the number of ant species attracted to each site. The botanists know that the populations are normally distributed, and they calculate the mean and standard deviation for the number of ant species attracted to each site in the samples. Is there evidence to conclude that a difference exists between the average number of ant species in the two regions?Draw the appropriate conclusion,using= 0.10.

1) Which test should be used?

a) z test for proportions

b) paired t test for means

c) z test for means

d) t test for means

e) paired z test for means

2) Which hypotheses should be used to determine if there is evidence to conclude that a difference exists between the average number of ant species in the two regions?

a) H0:p1p2=0,HA:p1p2<0

b) H0:12=0,HA:120

c) H0:12=0,HA:12>0

d) H0:p1p2=0,HA:p1p2>0

e) H0:12=0,HA:12<0

3) The p-value is .0923. What is the conclusion of the test?

a) Fail to reject H0. There is sufficient evidence at=.10 to conclude that a difference exists between the average number of ant species in the two regions.

b) Fail to reject H0. There is insufficient evidence at =.10 to conclude that a difference exists between the average number of ant species in the two regions.

c) RejectH0. There is sufficient evidence at=.10 to conclude that a difference exists between the average number of ant species in the two regions.

d) RejectH0. There is insufficient evidence at =.10 to conclude that a difference exists between the average number of ant species in the two regions.

4)

A 90% confidence interval is calculated forAB: (- 5.86, -2.44). Interpret the interval.

a) At the 90% level of confidence, there is not evidence to conclude that the mean number of species at site A differs from the mean number of species at site B.

b) We are 90% confident that the mean number of species at site A is between 2.44 and 5.86 more than the mean number of species at site B.

c) We are 90% confident that the mean number of species at site A is between 2.44 and 5.86 less than the mean number of species at site B.