Search & Filtering
Suppose a population consists of the numbers 2,3,5,8 and 12. What is the mean of the
population? (Clue: Point Estimation)
determine the transformations of the function f(x)=−4x+1 from the parent function.
A pair of fair dice is rolled. Let X be the random variable representing the sum of the numbers that appear.
a. Construct the probability distribution of X for a pair of dice.
b. Find P (X≥ 8).
c. Find P (X≤ 7).
d. Find the probability that X takes an even value.
e. Find P (3 ≤X≤ 10)
On the 3rd quarter examination in Statistics, the population mean was 70 and the population standard deviation was 9. Determine the standard score of a student who got a score of 88 assuming that the scores are normally distributed.
On the 3rd quarter examination in Statistics, the population mean was 70 and the population standard deviation was 9. Determine the standard score of a student who got a score of 88 assuming that the scores are normally distributed.
A Researcher surveyed 80 randomly selected Certified Public Accountants in each of the cities in Metro Manila area and asked them if they have performed work for free for 10 0r fewer clients in the last year. The results are shown in the table. At =0.10, is there enough evidence to reject the claim that the proportions of those who accept free work for 10 or fewer clients are the same in each city?
Patric borrows money from Zanele at a simple discount rate of 9,75% per annum. He must pay him R35 000 in 27 months' time. The amount of money that he receives from Zanele now is
To save money for a new house, you want to begin contributing money to a savings account. Your plan is to make equal contributions to the account for eight years. Each contribution will be R18490,00. The contributions will come at the end of every three month period, starting three months from now. The savings account pays 9% interest per annum, compounded quarterly. How much money do you expect to have in the account at the end of the eight years?
A certain book manufacturing company presents the time it takes for sheets from a press to be folded, gathered,
sewn, tipped on end sheets, and bound. The following data represent samples of books of two book production
companies and the processing time for these jobs. The processing time refers to the time in days starting from
the time the books come off the press to the time they are packed in cartons. Assume the data values came from
normally distributed populations with unequal variances and use 5% level of significance.
Company 1 5.42 5.32 16.25 10.45 21.5
Company 2 9.46 11.36 16.62 12.6 15.5 18.7 10.75 14.2
Is there sufficient evidence to conclude that Company 1 is more efficient than Company 2 if the processing
time is a measure of efficiency?
Gillbert got a new job in a shoe store. The number of pairs of shoes he was able to sell for three days are 2, 4, and 5. Assume that samples of size 2 are randomly selected with replacement from this population of three values.
a. List down the 9 different possible samples.
b. Find the mean of each sample.
c. Find the mean of the sampling distribution of means.
d. Identify the probability of each sample.
e. Find the population mean.
f. Compare the population mean with the mean of the sampling distribution of means.
