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Using a Truth table, determine the value of the compound proposition ((š‘ ∨ š‘ž) ∧ (ļæ¢š‘ ∨ š‘Ÿ)) → (š‘ž ∨ š‘Ÿ).


Find the finite population correction factor given the following:




a. N= 300, n= 50




b.




N= 2500, n= 100




C.




N = 150, n= 10

Find the equation of the tangent and normal lines to the curve y3-xy+x2=1 at (1,0)

Parameter, null hypothesis: in words:, alternative hypothesis in words, directional or non directional, level of significance: 1. The young engineers in a manufacturing company claim that the mean annual income is greater than php 500,000. Test the claim using 95% confidence level

Write the function sum() with four parameters the calculates the arguments provided and returns their sum

Parameters four variables of type float

Returns the sum of type float

Use the default argument 4 to declare the last two parameter of the function sum() test the function sum() by calling it by three possible methods use random integers as arguments


Compute the z-statistic for each given claim (p), the observed proportion (p^), and the given


sample size (š‘›).



š‘ = 0.53, š‘Ģ‚= 0.54, š‘› = 32



HYPOTHESIS TESTINGABOUT POPULATION MEAN š

USING THE CRITICAL VALUE APPROACH


The records of SCA Registrar show that the average final grade in Mathematics for STEM students is 91 with a standard deviation of 3. A group of student-researchers found out that the average final grade of 37 randomly selected STEM students in Mathematics is no longer 91. Use 0.05 level of significance to test the hypothesis and a sample mean within the range of 88 to 94 only.

A. State the hypotheses.

B. Determine the test statistic to use.

C. Determine the level of significance, critical value, and the decision rule.

D. Compute the value of the test statistic.

E. Make a decision.

F. Draw a conclusion.



Compute the z-statistic for each given claim (p), the observed proportion (p^), and the given



sample size (š‘›).




š‘ = 0.66, p^= 0.61, š‘› = 40

Compute the z-statistic for each given claim (p), the observed proportion (^p), and the given

sample size (š‘›).


š‘ = 0.2, ^p= 0.18, š‘› = 50



AĀ finger-printĀ machine is kept in a school. All the students are required to recordĀ their finger-print on their arrival . Expected arrival time is common to all the students.Ā For every oneĀ minuteĀ of late arrival, 50 paise is charged as fine. For example, if the arrival time of student is 9:03:10 and expected time is 9:00:00 then fine is Rs. 2. Given the details of students, their arrival time on a particular day and the expected arrival time,Ā designĀ an OOPĀ model and write a C++ code to print theĀ rollnoĀ and the name of the students who came earlier than the arrival timeĀ and calculateĀ fineĀ amount.Ā Understand the precode and application program to do the implementation.

Input Format

Number of students

Roll no of Student1

Name of Student1

Arrival time of Student1

Roll no of Student2

Name of Student2

Arrival time of Student2

...

Roll no ofĀ Student-n

Name ofĀ Student-n

Arrival time ofĀ Student-n

Ā 

All time is given in hours followed by minutes followed by seconds

(PerformĀ Operator OverloadingĀ of << and >> operators)



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