70.2K

Verified Solution

Link Copied!

Investigators working on commericially cultivating shrimp are interested in determining the best conditions in which for them to grow. They are interested in knowing what impact water temperature (either 25 C, 30 C) and the salinity level (10 %, 25 % and 40 %) have on the growth of shrimp. Three replicates were used for each of the 6 possible treatment combinations. Post-larval shrimp were placed in each of the 18 tanks and fed the same amount of food. After one month the overall weight of all the shrimp in a tank was measured and compared to how much they weighed previously. The total sample standard deviation was found to be 17.48. The cell means in milligrams for the experiment are given below.

Temperature	25 C	30 C	Row Mean
Salinity 10%	59.38	77.76	68.57
Salinity 25%	83.58	110.87	97.22
Salinity 40%	80.38	103.28	91.83
Column Mean	74.45	97.30

1.The investigators want to know whether there is an interaction between temperature and salinity. Which of the following would be the correct null hypothesis? a) ()_ij = 0 for all i,j b) _{i j} for all i,j c) _i = _j for all i,j d) ()_ij 0 for some i,j

2.The investigators want to know whether there is an interaction between temperature and salinity. Which of the following would be the correct alternative hypothesis? a) ()_ij = 0 for all i,j b) ()_ij = 0 for some i,j c) ()_ij 0 for some i,j d) _{i j} for all i,j

3.What is the grand mean?

4.Calculate the degrees of freedom:

Salinity

Temperature

Interaction

Error

5.Calculate MSAB

6.Calculate the test statistic

7.Do we reject the null hypothesis of their being an interaction at significance level = 0.01?

Answer & Explanation Solved by verified expert

See Answer