For each of the following experiments, describe the sample space. i) Flip a coin four times ii) Flip a coin and roll a die. ii) Observe the proportion of people with blue eyes in a group of 40 people.
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- After a disappointing season, President Adams, who is 5’7” tall, is voted off the Presidents’ intermural basketball team. His replacement is a lanky newcomer, President Abraham Lincoln, who is 6’4” tall. The average points per game for the Presidents’ team after President Lincoln’s first thirty games. President Points Monroe 10 Madison 16 Jefferson 22 Washington 28 Lincoln 34 Calculate the population mean, μ; How many samples of two players from the five players are possible? List the names of each member for each of the two-player samples. Calculate the samples means for each sample, show your results as a sampling distribution of all the sample means; How many of the samples have sample error? Which ones, if any, do not? Calculate the mean of the sampling distribution of sample means and compare it to the population mean; Using the range, compare variability in the population to variability in the sampling distribution.In the Star and Tribune newspaper, there is an article entitled “1 in 8 school buses fail tests." The article says that the overall statewide proportion of school buses that fail safety tests is 9%. However, one bus company has a higher rate of over 12%. Assume that we want a new estimate for the statewide proportion of school buses that fail the safety inspection. We take a sample of 200 buses and find that 20 buses fail the safety inspection. If we construct a 95% confidence interval estimate for the true proportion of all Minnesota school buses that fail the safety tests, what is the upper limit of the interval? (Enter you answer including 3 decimal positions, e.g. .234)Three applications for admission to a local university are checked, and it is determined whether each applicant is male or female. The number of sample points in this experiment is O 2 6 4 8
- refer to image belowA coach is interested in how many slam dunks the average college freshman at his university can do. Ten volunteers from the senior class step forward. After observing their performance, the coach concluded that college seniors can do an average of 10 slam dunks in a row without missing. what is the sample? what is the population?Phosphorous is a chemical that is found in many household cleaning products. Unfortunately, phosphorous also finds its way into surface water, where it can harm fish, plants, and other wildlife. Two methods of phosphorous reduction are being studied. At a random sample of 7 locations, both methods were used and the total phosphorous reduction (mg/L) was recorded. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer. Things that are labelled i underneath a b c, etc are all part of that part.
- Please provide an explanation :)How would I solve this problem?From the given scenario, define the population proportion. In 2019, a national survey organization asked the question "Do you go on more than two vacations per year?" to a random sample of 2,000 Americans. 580 responded "Yes", while the other 1,420 people responded "No". Group of answer choices: A) the proportions of the sampled Americans who go on more than two vacations per year B) the proportion of all Americans who go on more than two vacations per year C) the 1,420 people who responded "No" D) the 2,000 Americans
- Phosphorous is a chemical that is found in many household cleaning products. Unfortunately, phosphorous also finds its way into surface water, where it can harm fish, plants, and other wildlife. Two methods of phosphorous reduction are being studied. At a random sample of 7 locations, both methods were used and the total phosphorous reduction (mg/L) was recorded. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer. Site 1 2 3 4 5 6 7 Method I: 0.013 0.020 0.015 0.055 0.007 0.002 0.010 Method II: 0.014 0.045 0.017 0.039 0.017 0.001 0.013 Do these data indicate a difference (either way) in the average reduction of phosphorous between the two methods? Use α = 0.05. (Let d = Method I − Method II.) (i) What is the level of significance? What is the value of the sample test statistic? (Round…Determine the size of the sample space that corresponds to the experiment of tossing a coin the following number of times:a. 2 times b. 6 times c. n timesStep 1 of 2 : Given the following parameters for a sampling distribution of sample proportions, calculate the sample proportion. Round your answer to two decimal places. p=0.33, x=56, n=200