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If a normal population of overpayments by National Health Insurance Authority to a private health service
provider is known to have a population standard deviation equal to GHC5, how large a sample would we
take in order to be 95% confident that the sample mean overpayment will not differ from the population
mean overpayment by more than ±0.80?
In a sample of 50 turnings from an automatic lathe 8 were found to be outside specifications. The cutting
bits were then changed and the machine restarted. A new sample of 50 contained 3 defective turnings.
Find a 90% confidence interval for the decrease in the proportion defective after changing bits.
Write a program that prints the value of 120.456789 rounded to the nearest digit, tenth, hundredth, thousandth, and ten-thousandth. [Hint: This should make use of formatted output.].
Write a program that reads an integer and determines and prints whether it is odd or event. [Hint: Use the remainder operator. An even number is a multiple of two. Any multiple of two leaves a remainder of zero when divided by 2.].
Given the slope-intercept form equation, y = mx+b. Write a program that asks the user to enter values for the respective variables (m, x, and b). Use those variables to calculate the results of the equation. Then print out the values for m, x, b, and y.
Write a program that asks the user to enter two integers, obtains the numbers from the user, then prints the larger number followed by the words “is larger”. If the numbers are equal, print the message “These numbers are equal”.
The manager of AllNeeds supermarket wants to estimate µ,, the average amount of money spent per week
for groceries by each student, assuming this amount of money follows approximately a normal distribution.
A random sample of 90 is taken, of which the mean and standard deviation of the amount of money spent
per week for groceries are GHC81.50 and GHC10.36 respectively.
(a) Calculate a 99% confidence interval for µ.
(b) Based on your result in (i), would you say on average a student spends more than GHC30?
(c) How many students must be surveyed if the manager wanted to estimate the true average spending
of students within a margin of .10 with probability .95?
Write a program that asks the user to enter two numbers, obtains the two numbers from the user, and prints out the sum, product, difference, quotient, and remainder of the two numbers.
The directors of Thor Limited have appointed you as their financial consultant. They are considering new investment projects and need you to calculate the cost of capital for the company. The present capital structure is as follows; 2 000 000 ordinary shares with a par value of R1.00 per share. These shares are currently trading at R2.50 per share and the latest dividend paid is 40 cents. An average dividend growth of 9% is maintained. 1 500 000 8% R2.00 preference shares, with a market value of R1.80 per share. R10 000 000 non-distributable reserves R2 000 000 7% debentures due in 6 years time and the current yield to maturity is 10%, and R1 000 000 15% bank loan. Additional information: The company has a beta of 2.1 a risk free rate of 7% and a return of market of 16%. The company tax rate is 30%. Required 3.1 Calculate the weighted average cost of capital using Gordon growth model to calculate the cost of equity. (7) 3.2
Every DNA sequence consists of four nucleotides: Adenine, Thymine, Cytosine, and Guanine,
referred to by the first letters of their chemical names (A, T, C, and G). Your goal is to provide a report of the number of each nucleotide within the sequence, and the percent each nucleotide makes up of the total. You should include your output file in the submission in addition to our usual submission format (console output + code).
Example Output:
DNA sequence analysis:
29782 nucleotides in the sequence
Sequence breakdown:
Adenine: 8892 29.86%
Thymine: 9581 32.17%
Cytosine: 5462 18.34%
Guanine: 5847 19.63%
#340153 on Dec 2023