Statistics and Probability Answers

if the sum of the given sample of size 35 is 5467. What is the point estimate of the population mean?

The average time it takes a group of college students to complete a certain examination is 32 minutes. The standard deviation is 6 minutes. Assume that the variable is normally distributed.

If 64 randomly selected college students take the examination, what is the probability that the mean time it takes the group to complete the test will be less than 36 minutes?

If the population size is 100 with the population variance of 8. what is the variance of sampling distribution of sample means which has a sample size of 16?

How many possible samples of size 3 that can be drawn with replacement from the population 2, 3, 6, 8 and 10?

Consider a population consisting of the values 3, 6, 5, 6, 4 and 3. what is the population mean?

If the population standard deviation is 4.2, what is the standard deviation of the sampling of the distribution of its means if the sampling distribution was derived with sample size n=4 and all possible samples were drawn with replacements?

What is the mean of the population if the mean of the sampling distribution of the means is 7.16?

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.