Here are the questions GeneticsRibosomal 5S RNA can be represented as a sequenceof 120 nucleotides. Each nucleotide can be representedby one of four characters: A (adenine), G (guanine), C(cytosine), or U (uracil). The characters occur with differentprobabilities for each position. We wish to test whether anew sequence is the same as ribosomal 5S RNA. For thispurpose, we replicate the new sequence 100 times and findthere are 60 A's in the 20th position.7.21 If the probability of an A in the 20th position inribosomal 5S RNA is .79, then test the hypothesis that thenew sequence is the same as ribosomal 5S RNA using thecritical-value method. 7.22 Report a p-value corresponding to your results inProblem 7.21.Suppose we wish to test the hypothesis H,: u = 45 vs. H,:µ > 45.7.23 What will be the result if we conclude that the mean isgreater than 45 when the actual mean is 45?(i) We have made a type I error.(ii)We have made a type ll error.(iii) We have made the correct decision.7.24 What will be the result if we conclude that the mean is45 when the actual mean is 50?(i) We have made a type I error.(ii) We have made a type lIl error.(iii) We have made the correct decision.Suppose we wish to test H,: u = 30 vs. H,: u 30 based ona sample of size 31.7.25 Which of the following sample results yields the small-est p-value and why?(i) x = 28, s = 6%3D(ii) x = 27, s = 4(iii) x = 32, s = 2(iv) x = 26, s = 9

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Genetics Ribosomal 5S RNA can be represented as a sequence of 120 nucleotides. Each nucleotide can be represented by one of four characters: A (adenine), G (guanine), C (cytosine), or U (uracil). The characters occur with different probabilities for each position. We wish to test whether a new sequence is the same as ribosomal 5S RNA. For this purpose, we replicate the new sequence 100 times and find there are 60 A's in the 20th position. 7.21 If the probability of an A in the 20th position in ribosomal 5S RNA is .79, then test the hypothesis that the new sequence is the same as ribosomal 5S RNA using the critical-value method.

Genetics Ribosomal 5S RNA can be represented as a sequence of 120 nucleotides. Each nucleotide can be represented by one of four characters: A (adenine), G (guanine), C (cytosine), or U (uracil). The characters occur with different probabilities for each position. We wish to test whether a new sequence is the same as ribosomal 5S RNA. For this purpose, we replicate the new sequence 100 times and find there are 60 A's in the 20th position. 7.21 If the probability of an A in the 20th position in ribosomal 5S RNA is .79, then test the hypothesis that the new sequence is the same as ribosomal 5S RNA using the critical-value method.

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Genetics
Ribosomal 5S RNA can be represented as a sequence
of 120 nucleotides. Each nucleotide can be represented
by one of four characters: A (adenine), G (guanine), C
(cytosine), or U (uracil). The characters occur with different
probabilities for each position. We wish to test whether a
new sequence is the same as ribosomal 5S RNA. For this
purpose, we replicate the new sequence 100 times and find
there are 60 A's in the 20th position.
7.21 If the probability of an A in the 20th position in
ribosomal 5S RNA is .79, then test the hypothesis that the
new sequence is the same as ribosomal 5S RNA using the
critical-value method.

7.22 Report a p-value corresponding to your results in
Problem 7.21.
Suppose we wish to test the hypothesis H,: u = 45 vs. H,:
µ > 45.
7.23 What will be the result if we conclude that the mean is
greater than 45 when the actual mean is 45?
(i) We have made a type I error.
(ii)
We have made a type ll error.
(iii) We have made the correct decision.
7.24 What will be the result if we conclude that the mean is
45 when the actual mean is 50?
(i) We have made a type I error.
(ii) We have made a type lIl error.
(iii) We have made the correct decision.
Suppose we wish to test H,: u = 30 vs. H,: u 30 based on
a sample of size 31.
7.25 Which of the following sample results yields the small-
est p-value and why?
(i) x = 28, s = 6
%3D
(ii) x = 27, s = 4
(iii) x = 32, s = 2
(iv) x = 26, s = 9

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