Math Answers

A soda manufacturer is interested in determining wheter its bottling machine tends to overfill. Each bottle is supposed to contain 12 ounces of fluid. A random sample of 25 bottles was taken and found that the mean amount of soda of the sample of bottles is 12.2 ounces with a standard deviation of 0.4 ounces. If the manufacturer decides on a significance level of 0.05 test, should the null hypothesis (u=12 ounces) be rejected?

Show that if 5/3< 2x< 11/3, then x∈{y∈R such that |y- 4/3| < 1/2}

Draw the graph of the function f, defined by f(x)= |x- 6| + |5 - x| ; x∈ [2,8]

If (an) is convergent then "\\sum_{i=1}^{\\infty} a_n" is also convergent. True or false with the full explanation.

The sum of two discontinuous function is always discontinuous function. True or false with full explanation

Every integrable function is monotonic. True or false with full explanation.

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. What is the probability that 4 of the selected students would be girls?

On average, 1.7 students using the Bank Islam ATM machine located outside of UMK Jeli Campus during any 30 minutes interval. Find the probability of exactly 3 students using the Bank Islam ATM machine during any 30 minutes interval.

The mean number of defective products produced in a factory in one day is 21. What is the probability that in a given day there are exactly 12 defective products?

Fifteen pupils from school B have mean IQ of 110 and a variance of 64, while 20 pupils from school C show a mean IQ of 114 and a variance of 78. What is the z-computed value?