Ribosomal 5S RNA can be presented 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 person. We wish to test if a new sequence is the same as ribosomal 5S RNA. For this purpose, we replicate the new sequence 100 times and find that there are 60 A’s in the20th position. Use a 0.05 level of significance.
1. If the probability of an A in the 20th position is 0.79 in ribosomal 5S RNA, then test the hypothesis that the new sequence is the same as the ribosomal 5S RNA using critical method. 2. Report a p- value corresponding to your result in problem num 1 1A.
* Ho= there is no difference in the new sequence as the ribosomal 5S RNA using critical method Ha= there is difference in the new sequence of ribosomal 5S RNA using critical method
* X= 60, level of significance= 0.05
* Reject null hypothesis
Null Hypothesis =| 0.79|
Level of Significance| 0.05|
Population Standard Deviation| 20|
Sample Size| 100|
Sample Mean| 60|
Standard Error of the Mean| 2|
Z Test Statistic| 29.605|
Two-Tail Test| |
Lower Critical Value| -1.959963985|
Upper Critical Value| 1.959963985|
Reject the null hypothesis| |
* Conclusion: The new sequence is different from ribosomal 5S RNA using critical method.
* P-value: 0
One method for assessing the effectiveness of a drug is to note its concentration in blood and/or urine sample at certain periods of time after giving the drug. Suppose we wish to compare the concentrations of two types of aspirin (type A and B)in urine specimens taken from the same person, 1hour after he or she has taken the drug. Hence, a specific dosage of either type A or type B aspirin is...