Given the following information, construct the rejection region. Show the solution in
a step-by-step procedure.
1. H 0 : = 84
H a : 84
m= 87, s= 10, n = 35, "\\alpha" = 0.05
You discovered that a species of bacteria can break down StyrofoamTM (polystyrene) products due to an
enzyme it produces, polystyrenase. You wish to study the gene that codes for this enzyme.
Task 1: DNA Extraction
To begin work on the bacterium, you begin by extracting its genomic DNA (gDNA). What is the purpose of
the following procedures? Answer briefly but completely.
b. Adding RNase A and Proteinase K during extraction
Answer: __________________________________
c. Adding ethanol before recovering the DNA extract
Answer: __________________________________
A group of the following students got the following score in a test:6,9,12,15,and18 compute the mean of the sample mean
Determine the second derivative of g(x)=sin(2x³-9x)
H 0 : = 84
H a : 84
= 87, = 10, n = 35, = 0.05
Create an enumeration named Month that holds values for the months of the year, starting with
January equal to 1. Write a program that prompts the user for a month integer. Convert the
user’s entry to a Month value, and display it.
The mean weight of the luggage carried into an airplane by individual passengers at Taguegarao City Airport is 19.8 kilograms. A statistician takes a random sample of 110 passengers and obtain a sample mean weight of 18.5 kilograms with standard deviation of 8.5 kilograms. Test the claim at a=0.01 level of significance.
1.2.Explain how and who came up with these algebraic concepts or used these algebraic concepts deloped over time.
1.2.1 decimal number system
1.2.3 abstract symbol s
1.2.3 negative numbers
1.3 Describe the stages in the development of symbolic algebra. Give at least one example of equation for each of these stages.
Use Green’s Theorem to evaluate
∮C(x − 2y2) dx + (y4 + 2xy) dy where C consists of the line segment
from (0, 2) to (0, 4), followed by the curve with parametric equations x = 4 cos t, y = 4 sin t from (0, 4) to (−2, 2√3), then the line segment from (−2, 2√3) to (−1, √3), and finally the curve with parametric equations x = 2 sin t, y = 2 cos t from (−1, √3) to (0, 2).
What is the radius of the nucleus of 28/14 Si ? What is its volume?