Statistics and Probability Answers

What is the mean of the sampling distribution of its means if a population has means of 7.2?

A population consists of the numbers 1, 2, 3, and 4 with the sample size of 2. Compute the variance of the sampling distribution of means.

1.In a box, there are 4 types [Hearts, Clubs, Diamonds, Scorpions] of cards. There are 6 Hearts cards, 7 Clubs cards, 8 Diamonds cards and 5 Scorpions cards in the box. Two cards are selected randomly without replacement.

a) Find the probability that the both selected cards are Hearts.

b) Find the probability that one card is Clubs and the other card is Diamonds.

c) Find the probability that the both selected cards are from the same type.

2.In a boys’ school, there are 45 students in grade 10. The height of the students was measured. The mean height of the students was 154 cm and the standard deviation was 2 cm. Alex’s height was 163 cm. Would his height be considered an outlier, if the height of the students were normally distributed? Explain your answer.

Box A and Box B both contain the numbers 2, 4, 6 and 8. Construct the probability mass function and draw the histogram of the sum when one number from each box is taken at a time, with replacement.

A company producing lubricating oil that the average content of the containers is 20 litres. Test this claim if a random sample of ten containers are 20.5, 19.4, 20.2, 19.8, 20.6, and 19.6 litres .assume normal distribution and use 1% level of significance

the mean serum cholesterol level of a large population of overweight children is 220 mg per deciliter (mg/dl), and the standard deviation is 16.3 mg/gl. If a random sample of 35 over which children is selected, find the probability that the mean will be between 220 and 222 mg/ dl. Assume the serum cholesterol level variable is normally distributed.

A population consists of the values (1, 2, 4). List down all the possible samples of size 2 that can be drawn from this population with replacement.

A population consists of the values (1, 2, 4). List down all the possible samples of size 2 that can be drawn from this population with replacement.

1. A certain research center requires an IQ score above 131.5.

Assume IQ scores are normally distributed with mean of 100 and standard

deviation of 15. Nine candidates took IQ tests. Find the probability that the IQ

score of a randomly chosen individual is at least 131.5?

2. A Company which produces cigarettes claims that it has now reduced the

amount of nicotine. The Supporting evidence consists of a random sample of 40

cigarettes and gives mean amount of nicotine 0.941 g and a standard deviation of

0.313g. What is the probability that mean nicotine amount is greater than 0.882 g.

Compute the 95 percent interval estimate of ų given ó = 9, n=40 and x= 115