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Suppose a layer of oil (refractive index is 1.45) floats on water (refractive index is 1.33).If a ray of light shines onto the oil with an incidence angle of 40°, what is the angle formes between the ray and the surface of the water?





a) Given;



b)Formula:



c)Solution



d)Final answer with unit:

What is the solution of measuring 25ml of a0.2 hydrochloric acid into a conical flask and titrated with sodium hydroxide.It was found that 15ml of sodium hydroxide was needed to neutralize the acid.(a)Write a balanced chemical equation for the reaction.(b)calculate the concentration of the sodium hydroxide solution.(c).Calculate the ph of the acid is 1.4×10^-5M.

B. Sketch the normal curve and indicate the location of the rejection region.

  1. z > 1.645
  2. z < -2.33
  3. z < -2.58 or z > 2.58

ACTIVITY 7. EXPLORING MORE ELEMENTS OF HYPOTHESIS TESTING

A. Complete the table showing the rejection regions for common values of 𝜶.

Alternative Hypothesis

𝜶 Left-Tailed Right-Tailed Two-Tailed 𝛼 = .10 1. ___________ z > 1.28 z < -1.645 or z > 1.645

𝛼 = .05 z < -1.645 2. _________ z < -1.96 or z > 1.96

𝛼 = 0.25 3. ___________ z > 1.96 4. _______________

𝛼 = .01 z < -2.33 5.__________ z < -2.58 or z > 2.58


B. State the null hypothesis and the alternative hypothesis in (a) words and in (b) symbols for each of the following:

1. The average age of Youtube users is 25.

(a) In words = Ho: __________ Ha: __________

(b) In symbols = Ho: __________ Ha: __________


2. The mean age of the grade 10 students enrolled in Marawi High School is 16 years old. (a) In words = Ho: __________ Ha: __________

(b) In symbols = Ho: __________ Ha: __________


3. A doctor wants to know if the average recovery time of a patient taking a particular medication is one month.

In words,

Ho: The average recovery time of a patient taking a particular medication is one month.

In symbols,

Ho: ____________

In words,

Ha: The average recovery time of a patient taking a particular medication is not one month.

In symbols,

Ha: μ ≠ 1 month


2. A power company wants to see if the average amount of current passing through a series of connections is larger than 30 milliamperes (mA).

In words,

Ho: _______________________________________________ _______________________________________________

In symbols,

Ho: μ = 30

In words,

Ha: The average amount of current passing through a series of connections is larger than 30 milliamperes (mA).

In symbols,

Ha: ____________


One-tailed or directional test (specifically right-tailed)


ACTIVITY 6. INTRODUCTION TO HYPOTHESIS TESTING

A. Complete the tables by providing the necessary information.

1. The mean grade of a GAS student in a Statistics class is not 80.

In words,

Ho: The mean grade of a GAS student in a Statistics class is 80. In symbols,

Ho: ____________

In words,

Ha: _______________________________________________ _______________________________________________

In symbols, Ha: μ ≠ 80


Two-tailed or Non-directional test


Write a Java driven application that performs the following tasks:



1. Allow the user to decide on the length of an array that will be created at run time.



2. Enter integer elements into such an array



3. Sort the elements in ascending order (DO NOT USE bubble sort)



4. Search for a user specified element in the array and return the number of times



the searched key is observed (DO NOT USE linear search)

A sample of 20 observations is selected from normal population distribution with

population standard deviation 9 and sample mean 51. Determine the highest

value of population mean with 95% confidence interval (z-1.96). Round the

answer to the two decimal places.


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