Math Answers

The following data shows heights in centimeters of 10 persons selected at random from a

village. Find out whether, it would be reasonable or justifiable to suppose the height of that

village population as 182 cm.

The heights are 185, 181, 173, 177, 176, 174, 189, 185, 183, 177. [At 5% level of

significance]

Q2. The force of interest at any time t, (measured in years) is given by

 0.07—0.005t ,0 ≤ t < 5 0.06—0.003t, 5≤ t < 10

δ(t) =

(a) Calculate the accumulated amount at time t = 15 of $100 invested at time

0.03, t > 10 t = 0.



 0.07−0.005t, 0≤t<5 0.06 − 0.003t, 5 ≤ t < 10

δ(t) =

What is the total accumulated in value at any time t (> 0) of investments of $100 at

0.03, t ≥ 10 times 0, 4 and 6?



A random sample of size 16 has 53 as mean. The sum of the squares of the deviation

taken from mean is 150. Can this sample be regarded as taken from the population having

56 as mean? Obtained 95% and 99% level of confidence limit of the mean of population

A group of 5 patients treated with Medicine type A weight 42, 39, 48, 60 and 41 kg.

A second group of 5 patients treated with Medicine type B weight 38, 42, 48, 67, 40 kg. Do

the two medicines differ significantly with regard to their effect and increasing weight? [At

5% level of significance]

A group of 5 patients treated with Medicine type A weight 42, 39, 48, 60 and 41 kg.

A second group of 5 patients treated with Medicine type B weight 38, 42, 48, 67, 40 kg. Do

the two medicines differ significantly with regard to their effect and increasing weight? [At

5% level of significance]

You are given a population with standard deviation of 8.6. Determine the sample size

needed to estimate the mean of the population with error of 0.5 at 99 percent confidence.

A population consists of the four members 6,9,15,18. Consider all possible samples of

size two which can be drawn with replacement from the population. Find population

mean, the standard deviation and the mean of the sampling distribution of means and

standard deviation of sampling distribution of means.

Solve for α in the oblique triangle ABC; AB = 30; AC = 15 and angle B = 20°

Oblique triangle ABC; AB = 30; AC = 15 and angle B = 20°

Type out the two equations substituting the numbers from the diagram.

Type out the Law of Sines set of relationships and type out the most appropriate version to use the Law of Cosines for this solution.

Solve for a using both methods (show step by step work)

In the triangle ABC having vertices at A(-2,5), B(6,1) and C(-2,-3) , find the length of the median from vertex B to side AC .

Two coins are tossed. Let H be the number of tails that occur. Determine the values of the random variable H.