Search & Filtering
The mean of the sampling distribution of the sample mean μx= 5, what is the mean of the
population µ?
If X is a random variable defined by the number of heads in three tosses of a coin, what would be the sample space?
The capacitors have values C₁ = 2.5 uF and C₂ = 4.0 µF, C3 = 6.0 μF C₁ = 8.0 μF and the potential difference across the battery is 12.0 V. Assume that the capacitors are connected in series. Find the equivalent capacitance of the circuit and solve for the potential difference across each capacitors.
A uniform bar of weight 250 newtons has a length of 6 meters. It is supported at the two ends. Where must a load of 300 newtons be placed so that the supporting force at the left end is twice that at the other end? What is the magnitude of each of the supporting forces?
what is the pseudocode that will prepare the monthly credit card billing report of a customer. The input will contain the name of the person who has purchased on credit, the previous balance, total purchases and total payments. The output lists the name, interest and new balance.
The amount subject to a finance charge is obtained by adding the total purchases to the previous balance and subtracting the total payments. If the amount subject to a finance charge is $250 or more, interest will be calculated by multiplying this amount by 1.5 percent. Otherwise the interest is calculated as 1 percent of the amount. The new balance is obtained by adding the interest to the amount subject to a finance charge.
Define Positive and Normative Economics and classify each of the following statements. (5)
a) Society faced a short-run tradeoff between inflation and unemployment
b) A reduction in the rate of money growth will reduce the rate of inflation
c) The State bank of Pakistan should reduce the rate of printing new currency notes
d) Society ought to require welfare recipients to look for jobs. e) lower tax rates encourage more work and more saving
f) Firms are showing a positive response to increase in demand of product
g) Decision of a worker to work less due to lower wages
h) Government legislation is targeting firms charging too high prices
Living Space of Homes As reported by the Ghana Statistical Service. The mean living space for
single-family detached homes is 1742 sq. ft.
Assume a standard deviation of 568 sq. ft.
a. For samples of 25 single-family detached homes, determine the mean and standard deviation of the
variable
b. Repeat part (a) for a sample of size 500
What is the molarity of 400 L CO3, mixed with 5g water?
In a local government meeting, community leaders are required to identify one SDG, out of the 17 goals, that is most important to local PNG communities. Each community leader is required to select their goal of choice only once. The vote is recorded as a number from 1 to 17. The number of community leaders voting is unknown beforehand, so the votes are terminated by a value of zero (0). Votes not within and not inclusive of the numbers 1 to 17 are invalid (spoilt) votes. A file, sdGoals.txt contains the list of goals. The first goal is listed as SDG 1, the second as SDG 2 and so forth. The goals are followed by the number of votes for the goal.
Write a program to read the data and evaluate the results of the selection. Print all the output to a file called sdgSelection.txt
The program output should specify the total number of votes and the number of invalid votes. This is followed by the votes received for each SDG and the winning (top) selection SDG.
The Ghana Revenue Authority (GRA) publishes annual figures on individual income tax returns in
Statistics of Income, Individual Income Tax Returns. For the year 2009, the GRA reported that the mean
tax of individual income tax returns was GH₡ 10,319. In actuality, the GRA reported the mean tax of a
sample of 292,966 individual income tax returns from a total of more than 130 million such returns.
a. Identify the population under consideration.
b. Identify the variable under consideration.
c. Is the mean tax reported by the GRA a sample mean or the population mean?
d. Should we expect the mean tax , of the 292,966 returns sampled by the GRA to be exactly the
same as the mean tax, µ, of all individual income tax returns for 2009?
e. How can we answer questions about sampling error? For instance, is the sample mean tax reported
by the GRA likely to be within GH₡ 100 of the population mean tax, µ?
