CAMS3001: Biometry - Relationship Between Shrimp Length and Shrimp Weight - Science Assignment Help

Assignment Task:

Q1: A FSHN student was trying to see if onion cut in water produces significantly less tears compared to onion cut in the air. She did an experiment on 6 onions. She cut
onions into half, one half was chopped in water & the other half was chopped in the air. Here is the amount of tears (in ml) she collected:

a) What kind of test would you use to analyze this data? and Why?

b) Do you think the onion chopped in the air produce significantly more tears than onion cut in water? Give two reasons from the analysis to support your answer.

Q2: A scientist wanted to see the association between shrimp length and its weight. He carried out an experiment and found the following:

a) What is the value of the personal coefficient and direction of this relationship?

b) Is there a significant relationship between shrimp length and shrimp weight? What is your evidence?

Q3: A company wished to study the effectiveness of a coffee break on the productivity of its workers. The productivity of each of nine randomly selected workers was measure without a coffee break and later on another day when they were given a 10-minute coffee break. The scores measuring productivity are given as follows (note: high scores = more productivity):

Enter the data in Excel. Now find out the following information.
Median for Without Coffee break ……………………
Now perform a t-test on the data (at Alpha 0.01) and answer the following questions
What is the critical t-value?………………………..
What is the value of t-calculate?…………………………
Based on the comparison between the critical t value and the t-stat would you accept Ho or reject Ho
What is your conclusion? ………………………………………………………..

Q4: The following are the observed responses from male and female students to a survey on healthy eating habits.

a) What are the expected numbers?

b) What is the Chi-test value ……………………………
c) What is the chi-test P value? ………………………………………
d) Is there an association between gender and healthy eating habits? Why?

Q5: The following are data comparing yield of corn per hectare (in kg) after use of 3 different systemic insecticides and no insecticides early in the season (September) to reduce damage due to stem borers and aphids. Each treatment was replicated 5 times. Conduct an analysis of variance to determine whether the application of insecticide produces a significant difference in yield of corn (at α=0.05)

a) Write down two possible hypotheses regarding the means of 4 samples above.
b) Is the effect of insecticide application significant? Why? Give two reaones.

c) Calculate the LSD ……………………………….
d) Determine which treatments are significantly different from one another:

e) Summarize the results by plotting a histogram and showing the significant differences in the graph: -

Q6. These are the heights of three varieties of alfalfa treated with four different plant foods. Plant food 4 is new and so we need to find out if it is different from the others.

What is the value of:
F stat (food)……………………………….
F critical (variety)…………………………….
Probability of significant difference between varieties…………………………
Probability of significant differences between foods…………………………
LSD (variety)………………………….
LSD (Food)……………………………
Which plant food do you recommend for the farmer to apply? Why?

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