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Re: The table displays the results of a repeated sampling of the Gallus ga [#permalink]
Given,

The sequences listed that cannot encode protein were each found in fewer than 50% of the samples taken.-> we can't say it is true of false. Because, there are 4 cases where gene encode protein, in 3 cases samples taken are below 50% (35%, 44% and 33%), but in one case gene encode protein is 64% (greater than 50%). So, we can't say anything for sure here.

Sequences in category A have a lower average (arithmetic mean) number of amino acids than those sequences in category B.- False

Reason:
Average of A = (425+437+476+439)/4= 444.25
Average of B = (386+397+379)/3= 387.3

So, Average of A is not less than Average of B.

When choosing one of the 11 sequences at random, the probability that the sequence will have more than 415 amino acids is greater than 1/2.- True

Reason:
Event= there are 6 sequences where amino acids is greater than 415 (425, 437,476,488,503 and 439)

P(Event)= 6/11 >1/2
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Re: The table displays the results of a repeated sampling of the Gallus ga [#permalink]
F F T
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Re: The table displays the results of a repeated sampling of the Gallus ga [#permalink]
For each of the following statements, select True if the statement can be verified as true based on the information in the table. Otherwise, select False.

True False
The sequences listed that cannot encode protein were each found in fewer than 50% of the samples taken.
Sequences in category A have a lower average (arithmetic mean) number of amino acids than those sequences in category B.
When choosing one of the 11 sequences at random, the probability that the sequence will have more than 415 amino acids is greater than 1/2.

solution :

1)The sequences listed that cannot encode protein were each found in fewer than 50% of the samples taken :

by observation we see that sequences that cannot encode protein , one of them has been found in 99% SAMPLES ( Ovalbumin realted protein Y) , So clearly this is False

so answer for 1) is FALSE

2)Sequences in category A have a lower average (arithmetic mean) number of amino acids than those sequences in category B:

By observation we see that Category A sequences are 4 in number and are in 400's while B category sequences are 3 in number and are in 300's , so we do not even need to calculate and can infer that average of A would be greater than B for amino acids , so answer for q2 is also FALSE

3)When choosing one of the 11 sequences at random, the probability that the sequence will have more than 415 amino acids is greater than 1/2.:

We see that 6 sequences have amino acids > 415
so Prob (Desired ) = 6/11 which will be 1/(1.some decimal) so definitely this will be greater than 1/2

so answer for q3 is True
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Re: The table displays the results of a repeated sampling of the Gallus ga [#permalink]
1) False
2) False
3) True
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Re: The table displays the results of a repeated sampling of the Gallus ga [#permalink]
For each of the following statements, select True if the statement can be verified as true based on the information in the table.

The sequences listed that cannot encode protein were each found in fewer than 50% of the samples taken.
-- The sequence Ovalbumin-related Protein Y cannot encode protein, but is found in 99% of the samples taken.
FALSE.

Sequences in category A have a lower average (arithmetic mean) number of amino acids than those sequences in category B.
--This statement is clearly FALSE as each of the sequences in category A have 400+ amino acids while each of the sequences in category B have <400 amino acids.
To be precise -
Total number of amino acids in Sequences in category A = 425 + 437 + 476 + 439 = 1777
Thus, The average number of amino acids in Sequences in category A = 1777/4 = 444.25

Total number of amino acids in Sequences in category B = 386 + 397 + 379 = 1162
Thus, The average number of amino acids in Sequences in category B = 1162/3 = 387.33

FALSE

When choosing one of the 11 sequences at random, the probability that the sequence will have more than 415 amino acids is greater than 1/2.
The number of sequences having more than 415 amino acids = 6
That is 6 out of 11 ( > 50%) sequences have more than 415 amino acids .

TRUE


Thus, answers are :
FALSE, FALSE, TRUE
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Re: The table displays the results of a repeated sampling of the Gallus ga [#permalink]
For each of the following statements, select True if the statement can be verified as true based on the information in the table. Otherwise, select False.

The sequences listed that cannot encode protein were each found in fewer than 50% of the samples taken. False. Ovalbumin-related protein Y cannot be encoded and it was found in 99% of the samples.

Sequences in category A have a lower average (arithmetic mean) number of amino acids than those sequences in category B.False
Sequences in Category A = 425, 437, 476, 439, Mean = 444.25
Sequences in Category B = 386, 397, 379, Mean = 387.33
We do not even have to calculate as the Sequences in category A are all above 420, and those in category B are all below 400. We can infer that the mean of Category A will be greater than that of Category B.


When choosing one of the 11 sequences at random, the probability that the sequence will have more than 415 amino acids is greater than 1/2.True
Sequences which have more than 415 amino acids = 425, 437, 476, 488, 503, 439, Total count = 6
Probability = \(\frac{6}{11}\), which is greater than \(\frac{6}{12}\) or \(\frac{1}{2}\)
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Re: The table displays the results of a repeated sampling of the Gallus ga [#permalink]
Expert Reply
This is an Easy question, OA Is False, False and True. Everyone did well here. Official explanation will be posted soon.
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Re: The table displays the results of a repeated sampling of the Gallus ga [#permalink]
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