Math Answers

A study believes that 70% of adults in the Philippines own a cellphone.

A cellphone manufacturer believes that the actual number is much

less than 70%. 100 Filipino adults were surveyed, of which 74 have

cellphones. Using a 5% level of significance, is the cellphone

manufacturer’s claim valid or not?

The letters in the word TRIANGLE are to be arranged. How many ways can these letters be arranged in a line such that letters E and G appear in adjacent positions?

`Q2. CASE STUDYI ndia is competitive manufacturing locationdue to the low cost of manpower and strongtechnical and engineering capabilitiescontributing to higher quality production runs.The production of TV sets in a factoryancreases every year. It produced 1160000 setsin 2018, 2000000 sets in 2020and 2200000sets in 2021.Based on the above infor mation, answer thefollowing questions:1. Find the total production in the year 2018and 2019.2. In which year, the production was 2 millionsets?3. Find the difference of the production in theyear 2018 and 2020.4. Write 2200000 in words according to HindA rabic number system.

median of an isosceles trapezoid is 8 and the lower base is 14, find the upper base. use the formula: [ median = 1/5 (UB + LB)]

It is the decision when the value of the test statistics lies within the critical region

Show that 𝑦 = 2𝑥 ln 𝑥 is a solution to the differential equation "x^2y''-xy'+y=0"

Let X be a continuous random variable such that 𝑓(𝑥) =1, 𝑓or 𝑓 0<𝑋<1.

Find the following probabilities:

1. 𝑃(𝑋>0.5)
2. 𝑃(0.5<𝑋<0.8)

A manufacturer claims that the average lifetime of his lightbulb is

3 years or 36 months. The standard deviation is 8 months. Fifty bulbs are selected, and the average life expectancy is found to be 32 months. Should the manufacturer statement be rejected at level of significance 0.01?

A group of 8 students in your class having the weight of 50, 52, 53, 54, 56, 57 58, and 60.

You are the manager of a fast-food restaurant. The business problem is to determine

whether the population mean waiting time to place an order has changed in the past month

from its previous population mean value of 4.5 minutes. From past experience, you can

assume that the population is normally distributed, with a population standard deviation of

1.2 minutes. You select a sample of 36 orders during a one-hour period. The sample mean is

5.1 minutes. To test this statistical hypothesis, with a = 0.05

you have then testing hypothesis (null and alternate hvpothesises) is