Question

1. Experience raising New Jersey Red chickens revealed the mean weight if the chicken at five months is 9.0 pounds. It follows the normal distribution. In an effort to increase their weight, a special additive is added to the chicken feed. The subsequent weights of a sample of the five month old chickens were (in pounds):
          9.2            8.7           8.9            8.6            8.8            8.5           8.7           9.0     

At the .01 level, has the specific additive increased the mean weight of the chickens? Estimate the “t” value.

2. Two hundred managers from various levels were randomly selected and interviewed regarding their concern about environmental issues. The response of each person was tallied into one of the three categories: No concern, some concern and great concern. The results were:
Level of Management No Concern Some concern Great concern
Top Management 15 13 12
Middle Management 20 19 21
Supervisor 7 7 6
Group Leader 28 21 31

Use the .01 significance level to determine whether there is a relationship between management level and environmental concern through Chi Square.

3. A recent article in the wall street journal reported that prime rate for large banks now exceed 9%. A sample of 8 small banks revealed the following prime rates. At 0.01 significance level, can we conclude that prime rate for small banks also exceed 9%. Estimate “t” value.
10.1 9.3 9.2 10.2 9.3 9.6 9.4 8.8





4. A sample of employees at Jumbo Electronics was asked to indicate a preference for 3 pension plans. The results are given below, Does it seems that there is a relationship between the pension plan selected and the job classification of the employees. Use point 0.01% significance level to calculate Chi Square.
Job Class Pension Plan
Plan A Plan B Plan C
Supervisor 10 13 29
Clerical 19 80 19
Labor 81 57 22

Answer 1

( 1 )

For the given data

mean = 8.8 , std dev = 0.2268

Conclusion

It is concluded that the null hypothesis Ho is not rejected. Therefore, there is not enough evidence to claim that  the specific additive increased the mean weight of the chickens at the 0.01 significance level.