In May 2025
Search & Filtering
A certain area of the eastern United States is, on average, hit by 6 hurricanes a year. Find the prob-ability that in a given year that area will be hit by (a) fewer than 4 hurricanes; (b) anywhere from 6 to 8 hurricanes.
The average height of students in a freshman class of a certain school has been 149.45 cm with a population standard deviation of 7.74 cm. Is there a reason to believe that there has been a change in the average height if a random sample of 43 students in the present freshman class has an average height of 164 cm? Use a 0.01 level of significance.
Write the six steps in hypothesis testing in each of the following studies. Take note, the p-value is already given.
The average family size in the Philippines was reported as 4.25. A random sample of families in a particular street resulted in the following family sizes:
5, 6, 7, 4, 3, 8, 2 and 9
\At 0.10, is the average family size more than the national average?
(p-value = 0.0961)
Express 700.1400.2100.2800.3500.42000 in terms of factorial
Explain at least 10 principles of data visualisation (with respect to Statistics).
Suppose in a dice game, the person who rolls two dice wins if his rolls results in a pair of numbers whose sum is 7 or 11. in how many ways can he or she win?
For sets A = {-3, -2,…,3} and B = {0, 1,…,10} B’ = {0, 1, 4, 5, 8, 9} and C = {1, 2,…,10}, let f : A → B and g : B’ → C be functions defined by f(n) = n2 for all n ∈ A and g(n) = n + 1 for all n ∈ B’.
a. Show that the composition g o f : A → C is defined
b. For n "\\in" A, determine (g o f)(n)
List of row vectors and column vectors of the matrix.
[2 -1 0 1
3 5 7 -1
1 4 2 7]
Determine the given and compute the test statistic of the problem below using Central Limit Theorem, and construct the rejection region for each.
A company claimed that their N95 face mask has a mean filtration efficiency rate of 95%. A group of student researcher wanted to verify this claim. They bought and tested 40 of their N95 face masks. They found out that the average filtration efficiency rate of these face mask was 90% with astandard deviationof 4%. Test the claim at 5% level of significance and assume that the population is approximately normally distributed.
A normally distributed population has a mean of 1,214 and a standard deviation of 122. Find the probability that a single randomly selected element X of the population is between 1,100 and 1,300.
