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Suppose a space probe moves away from the Earth at a speed 0.350c. It sends a radio wave message back to the Earth at a frequency of 1.50 GHz. At what frequency is the message received on the Earth?
Q: A certain virus infects one in every 20 people. A test used to detect the virus in a person delivers positive outcome at 85% accuracy for infected persons. Moreover, it provides negative outcome for healthy persons at 95% accuracy. Compute followings:
a) Find the probability that a person has the virus given that his test outcome is positive.
b) Find the probability that a person does not have the virus given that his test outcome is negative.
c) Find the probability that a person has the virus given that his test outcome is negative.
3. A diet clinic states that there is an average loss of 24 pounds for those who stay on the program for 20 weeks. The standard deviation is 5 pounds. The clinic tries a new diet, reducing salt intake to see whether that strategy will produce a greater weight loss. A group of 40 volunteers loses as as average of 16.3 pounds each over 20 weeks. Should the clinic change the new diet? Use a 0.05
The owner of a factory that sells a particular bottled fruit juice claims that the average capacity of their products is 250 ml.to test the claim, a consumer group gets a sample of 100 such bottles, calculate the capacity of each bottle, and then the finds mean capacity to be 248 ml. The standard deviation is 5 ml. Is the claim true? Conduct a hypothesis testing using a=0.05.
1. Describe the population parameter of intersect.
2. Formulate the null and alternative hypothesis.
3.what is the appropriate form of test statistic to be used.
4. Identify the appropriate rejection region.
5.compute for the test statistic.(show solution)
6.Make a decision based on the computed value of z and the critical region.
Calculate the rest energy of a single proton. Use the equation E=mc² to solve the problem.
Suppose a spaceship is approaching the Earth at half the speed of light and shoots a canister at a speed of 0.750c.
a). At what velocity will an Earth-bound observer see the canister if it is shot directly towards the Earth?
b). If it shot directly away from earth?
A manufacturer of ball pens claims that a certain pen they manufactures has a mean writing life of 400 pages. A purchasing agent selects a sample of 100 pens and puts them for test. The mean writing life from the sample was 390 pages with a standard deviation of 30 at alpha 0.01.
The hypotenuse of a right triangle is constantly 8 inches long. One leg is increasing at the
rate of 3in./min. At what rate is the area of the triangle changing when the increasing leg is
4in.
What happened to the number of moles in a sample that originally occupied
500mL with 3.50 moles and then occupied 700 ml?
The function Power, which raises the integer number x to the power n, can be defined recursively as follows:
Power(x, n) = 1 for n = 0
Power(x, n) = x * Power(x, n-1) for n > 0
(i) Using the above definition write the recursive function Power(x, n) in C.
(ii) Rewrite the recursive function Power(x, n) in an iterative form.
(iii) Write the main function and test the above-written functions. Note: You can write one program and test the functions or you may write two separate programs for each part (i) and (ii)
