There are two main species of snake in southern England: the grass snake (Natrix Helvetica) and the Adder (Vipera Berus). The latter, although venomous, is not normally a danger to humans. For this question, we imagine a race between several individuals of each species to settle the question of who is faster. The finish times for the participants were as follows: Individual Genus Time Vipera 6:41 Natrix 6:12 Vipera 8:02 Natrix 6:16 Natrix 6:41 Vipera 8:22 Natrix 6:45 Bared There finich times test for the kinds of seake ABCD wuo.

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Question 20
There are two main species of snake in southern England: the grass snake (Natrix Helvetica) and the Adder (Vipera Berus). The latter, although venomous, is not normally a danger to humans.
For this question, we imagine a race between several individuals of each species to settle the question of who is faster. The finish times for the participants were as follows:
Individual Genus Time
Vipera 6:41
Natrix 6:12
B
Vipera 8:02
Natrix 6:16
Natrix 6:41
Vipera 8:22
Natrix 6:45
Based on these finish times, run a Mann-Whitney U test for the null hypothesis that there is no difference between the median finish times for the two kinds of snakes and fill in the following values using the statistical tables for the p-value.
You must fill in the fields exactiy as follows: U1 and U2 must be integers representing the two U-values for the test with U1 <U2. In the p box, you must enter exactly three digits representing the first three places after the decimal point from the correct value in the
table, e.g. if you get p=0.05 then enter 050 (to make 0.050).
• U1:
• 02:
• p: 0.
Question 21
2 pe.e
e Answer
There are two species of squirrel in the UK, the native red squirrel (sciurus vulgaris) and the grey squirrel (sciurus caroliensis) imported from North America. Grey squirrels have pushed red squirrels out of most of their previous habitat, among other
reasons because greys are larger than reds.
Suppose that the weight of grey squirrels is Normally distributed with HG=525g and oG=62g, whereas red squirrels' weight is Normally distributed with HR=320g and oR=31g. If you catch one red squirrel and one grey squirrel at random from their
respective UK populations, what is the probability that the grey squirrel is at least 200g heavier than the red one?
Enter your answer as a decimal number between O and 1 with leading zero and four digits of precision, e.g. 0.1234.
Transcribed Image Text:Question 20 There are two main species of snake in southern England: the grass snake (Natrix Helvetica) and the Adder (Vipera Berus). The latter, although venomous, is not normally a danger to humans. For this question, we imagine a race between several individuals of each species to settle the question of who is faster. The finish times for the participants were as follows: Individual Genus Time Vipera 6:41 Natrix 6:12 B Vipera 8:02 Natrix 6:16 Natrix 6:41 Vipera 8:22 Natrix 6:45 Based on these finish times, run a Mann-Whitney U test for the null hypothesis that there is no difference between the median finish times for the two kinds of snakes and fill in the following values using the statistical tables for the p-value. You must fill in the fields exactiy as follows: U1 and U2 must be integers representing the two U-values for the test with U1 <U2. In the p box, you must enter exactly three digits representing the first three places after the decimal point from the correct value in the table, e.g. if you get p=0.05 then enter 050 (to make 0.050). • U1: • 02: • p: 0. Question 21 2 pe.e e Answer There are two species of squirrel in the UK, the native red squirrel (sciurus vulgaris) and the grey squirrel (sciurus caroliensis) imported from North America. Grey squirrels have pushed red squirrels out of most of their previous habitat, among other reasons because greys are larger than reds. Suppose that the weight of grey squirrels is Normally distributed with HG=525g and oG=62g, whereas red squirrels' weight is Normally distributed with HR=320g and oR=31g. If you catch one red squirrel and one grey squirrel at random from their respective UK populations, what is the probability that the grey squirrel is at least 200g heavier than the red one? Enter your answer as a decimal number between O and 1 with leading zero and four digits of precision, e.g. 0.1234.
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