BOI205/4 BIOSTATISTICS
SEMESTER II ACADEMIC SESSION 2019/2020
SPECIAL TASK II – HYPOTHESIS TESTING AND t – TESTS [Total: 50 marks]
START DATE: 27/04/2020
SUBMISSION DEADLINE: 04/05/2020 before 12 p.m.
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1. State the independent variable, dependent variable, complete name (including the
direction of the test), and hypotheses statements of the statistical test for the following
cases. Note: Answer MUST BE concise and in point form. Use your logical
judgement to determine the direction of the test.
i. An agricultural entomologist is testing the efficacy of specified dosage of a
newly innovated organic insecticide to manage a rampant invasive insect pest.
ii. An environmentalist is determined to measure the gaseous volume of SO2 gas
(standard acceptable level = 5 ppm) within an undisturbed primary forest,
leaked from a dilapidated power plant.
iii. A herpetologist is interested to determine the abundance of a newly discovered
frog species between a primary forest and a fragmented habitat.
iv. A researcher wishes to compare insectivorous bats diversity between Pulau
Payar and Pulau Redang.
v. A botanist wishes to test the efficacy of a newly developed organic f ertilizer
on the growth of spinach.
[10 marks]
2. Examine the SPSS outputs below. Assume that the data from the given cases are
normally distributed, α = 0.05. State the:
• Total number of samples (n)
• Complete name of the statistical test
• Direction of the statistical test
• Hypotheses statements
• Degree of freedom
• Test statistic value
• p – value
• Results and Justifications
• Biological conclusion statement
i. An ornithologist compared the abundance of a bird species within two
different forest types; primary forest and logged forest. He anticipated that
the primary forest to have higher bird abundance compared to the logged
forest.
| Levene’s Test for Equality of Variances | t-test for Equality of Means | ||||||||
| F | Sig. | t | df | Sig. (2-tailed) | Mean Difference | Std. Error Difference | 95% Confidence Interval of the Difference | ||
| Lower | Upper | ||||||||
| Equal variances assumed | 3.115 | .087 | -3.975 | 34 | .000348 | -1.22123 | .30720 | -1.84554 | -.59691 | 
| Equal variances not assumed | -3.975 | 31.59 | .000382 | -1.22123 | .30720 | -1.84730 | -.59515 | 
[10 marks]
ii. A Muscovy duck veterinary officer had innovated a novel high-protein and
low-fat feed formulation that was estimated to reduce ducks’ body fats and
tested its efficacy on a group of newly hatched chicks of the same cohort. The
standard mean body weight for Muscovy chicks fed with currently available
commercial feed after six weeks is ± 850 grams. The officer estimated that
the tested chicks will show significant lighter mean body weight compared to
the standard chicks’ mean body weight after six weeks of treatments.
| Test Value = 850 | ||||||
| t | df | Sig. (2-tailed) | Mean Difference | 95% Confidence Interval of the Difference | ||
| Lower | Upper | |||||
| Body weight | 5.913 | 44 | 4.5325 x 10-7 | 70.22644 | 46.2898 | 94.1630 | 
[10 marks]
3. Using SPSS software, conduct a complete hypothesis test for the given cases at α =
0.05. State the:
• Complete name of the statistical test
• Direction of the test
• Hypotheses statements
• Normality test
• Degree of freedom
• Test statistic value
• p – value
• Results and Justifications
• Biological conclusion statement
i. The following table shows the abundances of spider wasp’s (Auplopus
blandus) captured using Malaise traps in two different sites. Determine
whether the spider wasp is more abundant in Site A compared to Site B.
| Site A | Site B | 
| 31 | 37 | 
| 18 | 38 | 
| No capture | 51 | 
| 20 | 89 | 
| 28 | 42 | 
| No capture | 84 | 
| 32 | 93 | 
| 19 | 51 | 
| 24 | 67 | 
| No capture | 41 | 
| 27 | 30 | 
| 15 | 45 | 
| 29 | No capture | 
| No capture | 37 | 
| 41 | 56 | 
| 25 | No capture | 
| No capture | 67 | 
| 23 | 72 | 
[10 marks]
ii. The following table shows the number of COVID-19 infected cells before and
after the implementation of a newly discovered vaccine. Determine whether
the new vaccine is significantly effective in reducing the number of COVID-
19 infected cells.
| Pre-vaccination | Post-vaccination | 
| 121 | 109 | 
| 123 | 110 | 
| 124 | 110 | 
| 129 | 114 | 
| 133 | 117 | 
| 137 | 120 | 
| 139 | 121 | 
| 141 | 123 | 
| 141 | 121 | 
| 142 | 122 | 
| 149 | 128 | 
| 151 | 130 | 
| 153 | 131 | 
| 154 | 132 | 
| 156 | 133 | 
| 157 | 134 | 
| 162 | 143 | 
| 163 | 144 | 
| 167 | 149 | 
| 169 | 151 | 
| 172 | 148 | 
| 172 | 146 | 
| 174 | 146 | 
| 177 | 147 | 
| 184 | 152 | 
| 187 | 153 | 
| 193 | 157 | 
[10 marks]
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