What is the law of large numbers? As the sample size decreases, the relative frequency of outcomes gets closer to the theoretical probability of the outcome.As the sample size increases, the cumulative frequency of outcomes gets closer to the theoretical probability of the outcome.     As the sample size increases, the relative frequency of outcomes gets closer to the theoretical probability of the outcome.As the sample size increases, the relative frequency of outcomes moves further from the theoretical probability of the outcome. If you were using the relative frequency of an event to estimate the probability of the event, would it be better to use 100 trials or 500 trials? Explain. It would be better to use 500 trials, because the law of large numbers would take effect.It would be better to use 100 trials, because the law of large numbers would take effect.     It would be better to use 500 trials, because 100 trials is always too small.It would be better to use 100 trials, because 500 trials is always too big.

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According to a study conducted by a statistical organization, the proportion of people who are satisfied with the way things are going in their lives is 0.78. Suppose that a random sample of 100 people is obtained. Complete parts (a) through (e) below. different people feel differently regarding their satisfaction. D. The sample proportion p is a random variable because the value of p represents a random person included in the sample. The variability is due to the fact that people may not be responding to the question truthfully. (c) Describe the sampling distribution of p, the proportion of people who are satisfied with the way things are going in their life. Be sure to verify the model requirements. Since the sample size is no more than 5% of the population size and np(1 - p) = 17.16 2 10, the distribution of p is approximately normal with Ha = 0.780 and On = 0.041 . (Round to three decimal places as needed.) (d) In the sample obtained in part (a), what is the probability that the…

Each of the following situations describes error in a statistical experiment, where a researcher is trying to find the percentage of American college students who identify as Democrats or Republicans. State whether this is sampling or non-sampling error, and explain why you chose that answer. The researcher randomly selects 400 college students from around the country and asks them if they are Democrats or Republicans. The researcher finds that 38% of the students are Democrats, when the actual percentage is 41%. The researcher sets up a table in the cafeteria at their University, a wealthy private school in New England, and asks students who pass by if they identify as a Democrat or Republican. They find that 53% of the surveyed students identify as Republicans, when the actual percentage is 36%.

Scenario: What influences the likelihood of whether a person will assist a stranger? In this study, participants were shown four conditions and asked to provide the percent likelihood that they would be willing to help in each condition. The researcher wanted to see if likelihood of helping varies based on the number of bystanders (0 or 10), and/or the gender of the stranger (male or female). Each participant participated in all four conditions (0 bystanders with a female; 0 bystanders with a male; 10 bystanders with a female; 10 bystanders with a male). Question: As taught in 510/515, what is the most appropriate graph if the only significant finding in this scenario is the main effect of number of bystanders?   Histogram Scatterplot Bar graph Box plot Line graph

The CEO of an airline estimates that 15% of all flights arrive late. How many flights must he include in a simple random sample if he wants to be 96% confident that the true population proportion of flights that arrive late lies within 0.02 of our sample proportion? OUECTIONG

A college football coach was interested in whether the college's strength development class increased his players' maximum lift (in pounds) on the bench press exercise. He asked four of his players to participate in a study. The amount of weight they could each lift was recorded before they took the strength development class. After completing the class, the amount of weight they could each lift was again measured.  What is being tested in this situation and what distribution will be used to conduct the test? Group of answer choices a.Two independent means, normal distribution. b.Single population mean, use the t-distribution. c.Single population mean, use the normal distribution. d.Two independent proportions, use the normal distribution. e.Two independent means, use the Student’s-t distribution.

# 3. Use Minitab to simulate 1000 rolls of five dice. Find the number of times that the sum of the five dice is exactly 20. Enter that value here. frequency approach to estimate the probability of getting a 20 when five dice are rolled. Enter the estimated probability here. Based on that result, use the relative Write a sentence or two explaining the difference (advantage or disadvantage) of the classical approach to probability compared to the relative frequency approach to probability. Refer to the results from #1, 2, 3 above in your explanation.

What is the shape of the sampling distribution?

The mean of a sampling distribution is smaller than the mean of the underlying population. True or false