FLOW TIME:

Suppose the capacity of each machine in Station 1 in the Littlefield Technologies game is 13 orders per day. Suppose there are 2 machines in this station. The utilization of this station is 78%. On average, there are 15 loads in this station (either in the waiting line or on the machines). Assume 24 working hours per day.

Compute the flow time in this station.

Potential Answers:

17 hours.

8.16 hours.

9.7 hours.

17.75 hours.

6.48 hours.

GUNNELS:

The dataset Gunnels comes from a study on the

habitat preferences of a species of eel, called a gunnel. Biologist

Jake Shorty sampled quadrats along a coastline and recorded a

binary variable, Gunnel, where 1 represents the presence of the

species found in the quadrat and a 0 its absence. Below is output

from a logistic model fit with Time as the explanatory variable,

where Time represents the time of day as "minutes from midnight,"

with a minimum of 383 minutes (about 6:23 a.m.) and a maximum

of 983 minutes (about 1:23 p.m.). The output is given below:

Answer the questions that follow:

a. State the null hypothesis that the P-value of 1.86e-08

allows you to test.

b. What happens to the probability of finding a gunnel as you

get later in the day? Does it get smaller or larger?

c. Find a 95% confidence interval for the slope parameter in

the logistic model.

Below are the quarterly returns on investment (in 000s) of two different investment projects which had the same initial outlay. There is a sample of 16 quarters of returns and your manager has asked you to investigate the relative performance of each project. In particular, your manager suspects that 'Investment B' outperforms 'Investment A' and she would like you to test this hypothesis. Perform an appropriate statistical test that incorporates your manager's hypothesis. (Hint: in this question, assume that both returns come from independent samples, are both normally distributed and that the true (but unknown) variances are not the same. ?

\f