Math Answers

State whether the following statement is true or false and give reason in support of your answer

Non parametric tests are more powerful than the parametric tests.

State whether the following statement is true or false. Give reason in support of your answer.

(1) If the level of significance is the same, the area of the rejection region in a two tailed test is less than that in a one tailed test

Assuming that the samples come from normal distribution, find the margin of error E given the following:

n = 16 and x̄ = 50 with s = 4.2, 95% confidence

the probability that applicants A, B and C are successful are 1/3, 2/3, 1/4 respectively. if the three were invited what is the probability that only two of them were successful

1. Assume that the number of episodes per year of otitis media, a common disease of the middle ear in early childhood follows a Poisson distribution with 2.7 episodes per year. What is the probability of having at most 2 episodes in the first year of life? (Approximate your answer to 4 decimal places).
2. Assume that the number of episodes per year of otitis media, a common disease of the middle ear in early childhood follows a Poisson distribution with 1.35 episodes per year. What is the probability of having 3 episodes in the first two years of life?  (Approximate your answer to 4 decimal places).

We’ve all had those annoying cell phone calls from Heather, Daisy, or Oscar, trying to sell life insurance or an additional car warranty. First Orion, a call protection agency, recently issued a report that suggested 45% of all cell phone calls in 2019 will be spam. Suppose 500 cell phone calls are selected at random. Use the normal approximation to calculate the probability that less than 100 of cell phone calls will be sparm.

Answer to 4 decimal points.

Suppose a certain population of observations are normally distributed. What percentage of the observations in the population are within 1.5 standard deviations of the mean?

Events A1 , A2, and A3 are mutually exclusive and exhaustive events, with probabilities P(A1) = 0.20, P(A2) = 0.60, and P(A3) = 0.20. Given that P(B|A1) = 0.10, P(B|A2) = 0.50, and P(B|A3) = 0.40, calculate P(A3|B).

Answers to 4 decimal points.

It is known that 60% of households in South Africa own at least one dog. What is the mean number of dogs per household in South Africa?

It is known that 60% of households in South Africa own at least one dog. A survey is carried out on 20 households. The probability that 12 households visited have at least one dog is?

The probability that a randomly selected family in South Africa watches Isidingo is 0.53 and the probability that they watch Grey’s Anatomy is 0.87, whereas the probability that they watch both Isidingo and Grey’s Anatomy is 0.46. The probability that a randomly selected family watches neither Isidingo nor Grey’s Anatomy is

The probability that a randomly selected family in South Africa watches Isidingo is 0.53 and the probability that they watch Grey’s Anatomy is 0.87, whereas the probability that they watch both Isidingo and Grey’s Anatomy is 0.46. The probability that a randomly selected family watches neither Isidingo nor Grey’s Anatomy is?

An element with mass 640 grams decays by 7.3% per minute. How much of the element is remaining after 8 minutes, to the nearest 10th of a gram?