Statistics and Probability Answers

Consider the set of even single-digit number {0, 2, 4, 6, 8}.

·       Make a list of possible sample size of 2 that can be taken from this sets of numbers

·       Construct the sampling distribution of the sample means for the size of 3 and the standard error.

In the numbers {1, 3, 5, 7, 9} construct the following:

• List of possible sample size of 3 that can be taken from this sets of numbers
•   Sampling distribution of the sample means for the size of 3 and the standard error.

What is the probability of drawing a black card or an eight from a standard deck of cards?

The mean of the sampling distribution of the sample mean μx= 5, what is the mean of the

                   population µ?

If X is a random variable defined by the number of heads in three tosses of a coin, what would be the sample space?​

Living Space of Homes As reported by the Ghana Statistical Service. The mean living space for

single-family detached homes is 1742 sq. ft.

Assume a standard deviation of 568 sq. ft.

a. For samples of 25 single-family detached homes, determine the mean and standard deviation of the

variable

b. Repeat part (a) for a sample of size 500

The Ghana Revenue Authority (GRA) publishes annual figures on individual income tax returns in

Statistics of Income, Individual Income Tax Returns. For the year 2009, the GRA reported that the mean

tax of individual income tax returns was GH₡ 10,319. In actuality, the GRA reported the mean tax of a

sample of 292,966 individual income tax returns from a total of more than 130 million such returns.

a. Identify the population under consideration.

b. Identify the variable under consideration.

c. Is the mean tax reported by the GRA a sample mean or the population mean?

d. Should we expect the mean tax , of the 292,966 returns sampled by the GRA to be exactly the

same as the mean tax, µ, of all individual income tax returns for 2009?

e. How can we answer questions about sampling error? For instance, is the sample mean tax reported

by the GRA likely to be within GH₡ 100 of the population mean tax, µ?

The average cholesterol content of a 100-gram bar of a certain brand of butter is 215 mg with a standard deviation of 15 mg. If a sample of twenty-five 100-gram bars of butter is selected, find the probability that the sample mean is less than 220 mg. Assume that the variable is normally distributed.

Question: A card is drawn from a standard deck. Find each of the following conditional probabilities, use the formulas and show your work.

a) The card is a queen, given it is a face card.

b) The card is a king, given that it is a spade.

c) The card is a spade, given that it is a king.

The results of a Nationwide aptitude test in mathematics are normally distributed with m=80 and s=15 what percentile rank of a score of 90