Stats & probability Read and follow the directions below and answer all question

Question

Stats & probability

Read and follow the directions below and answer all questions! Do not do this problem unless you are going to answer them all! I will rate!

---------------------------------------------------------------------------------------

For the following questions please include the results of your data collection and then enter your answer. For example, if you are asked to roll a single die 10 times you might write:

                                    4 2 1 1 3 6 5 2 4 3

                                    P(3) = 2/10 = 0.20

------------------------------------------------------------------------------------------------------------------

1.) A bone study that measures a biomarker, TRAP, yields a mean of 13.2 units/liter. Assuming the standard deviation is 6.5 units/liter, what sample size would be required at a 95% confidence to get a margin of error of 1.5 units/liter?

------------------------------------------------------------------------------------------------------------------

2.) Draw 3 cards without replacement (in other words, draw the top 3 cards from a shuffled deck), repeat this 10 times (for fairness you should reshuffle the cards between each set of 3 cards). Determine the following probabilities from your results

A.) P(one of the cards is a spade)

B.) P(All 3 cards are a Face card AND club)

--------------------------------------------------------------------------------------------------------------------------

3.) Calculate the theoretical probability of getting the following and compare them to your randomly generated results above.

A.) P(one of the cards is a spade)

B.) P(All 3 cards are a Face card AND club)

Explanation / Answer

1)

mean = 13.2

standard deviation = 6.5

margin of error = 1.5

let sample size be n

standard error = 6.5/n

margin of error for 95% confidence interval = 1.96*standard error = 1.96*(6.5/n)

1.96*(6.5/n) = 1.5 => n = 1.96*6.5/1.5

n = 8.4933

n = 8.49332 = 72.136 i.e 73 as 73 is next integer

sample size would be required at a 95% confidence to get a margin of error of 1.5 units/liter is 73

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.