SAT scores have a mean of 1000 and a standard deviation of 220.

Q18: What is the probability that a random student will score more than 1400?

Q19: Using the Central Limit Theorem, what is the probability that sample of 100 students will have an average score less than 990?

Q20: Using the Central Limit Theorem, what is the probability that sample of 100 students will have an average score between 990 and 1010?

Use excel functions to calculate your answers.

You would like to study the height of students at your university. Suppose the average for all university students is 68 inches with a SD of 20 inches, and that you take a sample of 17 students from your university.

a) What is the probability that the sample has a mean of 64 or more inches? probability = .204793 (is this answer correct or no? and I need help with part b too.)

b) What is the probability that the sample has a mean between 63 and 68 inches?

(1 point) Rework problem 17 from section 3.2 of your text, involving the sum of the numbers showing on two fair six-sided dice.

(1) What is the probability that exactly one die shows a 5 given that the sum of the numbers is 10?

(2) What is the probability that the sum of the numbers is 10 given that exactly one die shows a 5?

(3) What is the probability that the sum of the numbers is 10 given that at least one die shows a 5?

In the EAI sampling problem, the population mean is $51,900 and the population standard deviation is $4,000. When the sample size is n = 30, there is a 0.5887 probability of obtaining a sample mean within +/- $600 of the population mean. Use z-table.

What is the probability that the sample mean is within $600 of the population mean if a sample of size 60 is used (to 4 decimals)?

What is the probability that the sample mean is within $600 of the population mean if a sample of size 120 is used (to 4 decimals)?

. Suppose that the lifetime of a charged electronic device is uniformly distributed in the interval [5, 6] hours. Suppose you take 20 measurements. Compute the following • The probability that the mean over the 10 measurements exceeds 5.6 hours. • The probability that the mean lies between 5.45, and 5.55 hours. • The probability that the mean exceeds 6.1 hours. Think about this last point carefully: Do it first by applying the central limit theorem, but then explain whether this answer makes sense or not.

A box contains 1 fair coin and 1 2-Headed coin. A coin is drawn and flipped several times.

(a) The first flip results in Heads. What is the probability that the coin is fair?

(b) 3 flips result in all Heads. What is the probability that the coin is fair?

(c) 5 flips result in all Heads. What is the probability that the coin is fair?

(d) How many flips of all Heads are required to know with 99.9% accuracy that the coin is not fair?

Listed below are the numbers of hurricanes that occurred in each year in a certain region. The data are listed in order by year. Find the​ range, variance, and standard deviation for the given sample data. Include appropriate units in the results. What important feature of the data is not revealed by any of the measures of​ variation?

20 3 13 9 17 19 6

10 20 5 13 6 18 11

The range of the sample data is.............( Round to one decimal place needed.)

The standard deviation of the sample data is..........(Round to one decimal place as​ needed.)

The variance of the sample data is......................(Round to one decimal place as​ needed.)

What important feature of the data is not revealed through the different measures of​ variation?

A. The measures of variation reveal nothing about how the numbers of hurricanes are spread.

B. The measures of variation do not reveal the difference between the largest number of hurricanes and the smallest number of hurricanes in the data.

C. The measures of variation reveal nothing about the pattern over time.

D. The measures of variation reveal no information about the scale of the data.

2. Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the data and then​ (e) answer the given question.

Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team. What do the results tell​ us?

80 3 64 79 71 66 23 57 21 74 25

a) The mean is..........(Type an integer or a decimal rounded to one decimal place as​ needed.)

b)The median is...........(Type an integer or a decimal rounded to one decimal place as​ needed.)

c) Find mode ..........( Type an integer or a decimal rounded to one decimal place as​ needed.)

Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A. The​ mode(s) is(are).......(Type an integer or a decimal. Do not round. Use a comma to separate answers as​ needed.)

B. There is no mode.

d) Find the midrange........... (Type an integer or a decimal rounded to one decimal place as​ needed.)

e)What do the results tell​ us?

A.The midrange gives the average​ (or typical) jersey​ number, while the mean and median give two different interpretations of the spread of possible jersey numbers.

B. The mean and median give two different interpretations of the average​ (or typical) jersey​ number, while the midrange shows the spread of possible jersey numbers.

C. Since only 11of the jersey numbers were in the​ sample, the statistics cannot give any meaningful results.

D. The jersey numbers are nominal data and they do not measure or count​ anything, so the resulting statistics are meaningless.

Click to select your answer(s).

3. The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.

Find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes?

4.Determine whether the study is an experiment or an observational​ study, and then identify a major problem with the study.

A medical researcher tested for a difference in systolic blood pressure levels between male and female students who are 12 years of age. She randomly selected four males and four females for her study.

This is an..............because of the researcher.................. the individuals

What is a major problem with the​ study?

A. There is no​ blinding, which has a high chance of leading to bias.

B. The sample is too small.

C. The sample includes male and female students.

D. This is a convenience sample with a voluntary​ response, which has a high chance of leading to bias.

5. You are certain to get a red card when selecting 27 cards from a shuffled deck. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive. The probability is...........?

6. If we find that there is a linear correlation between the concentration of carbon dioxide in our atmosphere and the global​ temperature, does that indicate that changes in the concentration of carbon dioxide cause changes in the global​ temperature?

Choose the correct answer below.

A.No. The presence of a linear correlation between two variables does not imply that one of the variables is the cause of the other variable.

B.Yes. The presence of a linear correlation between two variables implies that one of the variables is the cause of the other variable.