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# Statistics - RES 342 problems

1. List the five steps of solving a statistical problem

2. Write a hypothesis test (H1 and Ha) statement for the following:
Many people eat cookies with milk. Suppose a cookie company is concerned that the cookie equipment may not be functioning properly when filling 32-ounce bags.

3. Use the same information to write an upper tail test and a lower tail test. (please mark which one is which)

4. You are given the following information, find the Z-statistic:
Xbar = 980
U = 1000
Sample stdev = 50
N = 36

5. A vending machine that dispenses coffee into cups must fill cups with 7.8 ounces. Before selling this machine to UOP you must check the system to make sure it fills cups with 7.8 ounces of coffee. Your standard deviation is .05 and you are 95% sure it will fill correctly. You take 20 samples. Tell me the mean ONLY
7.78 7.79 7.83 7.75
7.82 7.82 7.85 7.83
7.87 7.84 7.84 7.73
7.79 7.82 7.82 7.87
7.80 7.78 7.81 7.88

6. The McFaland Insurance Company claims department reports the mean cost to process a claim is \$60. An industry comparison showed this amount to be larger than most other insurance companies, so they instituted cost-cutting measures. To evaluate the effect of the cost-cutting measures, the supervisor of the claims department selected a random sample of 26 claims processed last month. The sample information is reported below:
45 49 62 40 43 61
48 53 67 63 78 64
48 54 51 56 63 69
58 51 58 59 56 57
38 76

7. Calculate the following at a .05 level of significance:

Population 1 Population 2
Sample size n1 = 25 n2 = 20
Sample mean xbar1 = 22.3 xbar2 = 18.5
Sample st. dev s1 = 1.5 s2 = 2.2

8. What is the level of measurement for the IV and DV in Regression Analysis?
1. IV (X variable) is measured at an interval level of measurement
DV (Y variable) is measured at an interval level of measurement