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II. Determine the given of the problems below and formulate the null and alternative hypothesis both in words and symbols. Write your answer in your notebook. Please follow the format in the examples.

2. A study was conducted to determine the marrying age of teachers. It was found out that the mean marrying ager of teachers is 30 years old. Fifteen teachers were surveyed randomly and found that their mean marrying age was 33 years old with a standard deviation of 5 years. Use 10% level of significance to test the hypothesis and assume that the population is normally distributed.

3. A study was conducted to determine the marrying age of teachers. It was found out that the mean marrying ager of teachers is 30 years old. Fifteen teachers were surveyed randomly and found that their mean marrying age was 33 years old with a standard deviation of 5 years. Use 10% level of significance to test the hypothesis and assume that the population is normally distributed.


Both Maria and Firdaus are salaried individuals. They are saving for their retirement 20 years from now. Both of them are also in the 28% marginal tax bracket. Maria makes a $2000 contribution annually on December 31 into a savings account (subjected to tax) earning an effective rate of 8% per year. At the same time, Firdaus makes a $2000 annual payment to an insurance company (tax-sheltered) for an after-tax-deferred annuity. The annuity also earns interest at an effective rate of 8% per year. (Assume that both of them remain in the same tax bracket throughout this period, and disregard state income taxes.)


Calculate how much each of them will have in their investment account at the end of 20 years.


Compute the interest earned on each account.


Show that even if the interest on Firdaus’ investment were subjected to a tax of 28% upon withdrawal of his investment at the end of 20 years, the net accumulated amount of his investment would still be greater than the net accumulated amount of Maria’s investment.


1.      Evaluate each of these expressions.

a)  1 1000 ∧ (0 1011 ∨ 1 1011)

b) (0 1111 ∧ 1 0101) ∨ 0 1000

c)  (0 1010 ⊕ 1 1011) ⊕ 0 1000

d) (1 1011 ∨ 0 1010) ∧ (1 0001 ∨ 1 1011) 


A force 1500N exists between two identical point charges separated by a distance of 30cm. Calculate the magnitude of the two point charges.


In the class of Statistics, there are 75 students in total out of which 55 male, 20 female students. 10 students need to be selected for the occasion of freshers' reception.

a. Find out the mean and standard deviation of the binomial distribution.

write a program that finds a number of elements in an array without using built-in features


A charged oil-drop of radius 1.3×10-⁶ m is prevented from falling under gravity by the vertical field between two horizontal plates charged to a difference of of 8340V. The distance between the plates is 16 mm and the density of oil is 920 kgm-³. Calculate the magnitude of the charge on the drop.

[Take g = 10 ms-²]


Instructions:

  1. You are provided with an array that contains different characters.
  2. Ask the user for an integer input which represents the address.
  3. Then, print the element of the provided array using that integer as the index.

Given code:

#include <iostream>

#include <cstring>

using namespace std;


int main() {

  // NOTE: Do not edit this

  char location[100] = "CodeChumIsLoveAndProgrammingAsWellYey";

}


Example:

Enter the address: 1

Place at index 1 is o


write a program to accept 10 integers to an array and perform the below actions

1) Print the elements in descending order

2) find the Min value, Max value entered

3) print the the sum we get after adding all the numbers in the array


find the missing parts of the triangle given below with 3 identified parts?

1.A=70 degrees 54' B=79 degrees 6' and a=20m

2.B=36 degrees 10' a=21m and b=30m

3.B=60degrees a=50m and c=60m

4.a=20m b=30m and c=40m


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