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The ages of six members of a board of directors of a nonprofit organization are shown below. How many samples of size 2 can be made from this group of people? 67 A survey was performed on Antioch students (1500 total) and the time it takes to complete their homework as the variable of interest. Mr. G performed a census and found a mean of 50 minutes and a standard deviation of 15 minutes. What is the mean of all possible sample means of size 20? 15 A survey was performed on Antioch students (1500 total) and the time it takes to complete their homework as the variable of interest. Mr. G performed a census and found a mean of 50 minutes and a standard deviation of 15 minutes. What is the sample mean standard deviation for samples of size 9. 50 What happens to the standard deviation as the sample size gets larger? 5 What kind of curve is this? decreases What is the formula for the standard deviation of a sample mean distribution? Left Skewed According to the Empirical Rule, what percentage of data lie within 3 standard deviations of the mean? What happens to the sampling error if you decrease your sample size? 99.7 As the sample size increases, what happens to the mean of all possible samples? increases Draw a bimodal curve. Stays the same Suppose that a population consists of five players that start on a basketball team given in the table. Find the population mean. Player Derrick Rose Dwyane Wade Lebron James Height 76 78 79 Amare Dwight Stoudemi Howard re 81 86 Suppose that a population consists of five players that start on a basketball team given in the table. Find the standard deviation( hint: use the list feature on the ti 83/84). *round to one decimal place Player Derrick Rose Dwyane Wade Lebron James Height 76 78 79 80 Amare Dwight Stoudemi Howard re 81 86 A population of Test Scores has a mean of 90 and a standard deviation of 15. Samples of size n = 25 are drawn randomly from the population. Determine the percentage of all samples of size 25 that have a mean within 2.5 of the population mean. *round to the nearest percent 3.8 The length of time, in hours, it takes an "over 40" group of people to play one soccer match is normally distributed with a mean of 2 hours and a standard deviation of 0.5 hours. A sample of size n = 50 is drawn randomly from the population. Determine the percentage of all samples of size 50 that have a sample error of at most .15 hours. *round to the nearest percent 60 The test scores of 5 students are under consideration. The following is the dotplot for the sampling distribution of the sample mean for samples of size 2. Find the probability, expressed as a percent, that the sample mean will be equal to the population mean. 97 20 100 false The mean height for a population is 65 inches and the standard deviation is 3. Let A and B denote the events described below. Event A The mean height in a random sample of 16 people is within 1 of the population mean. Event B The mean height in a random sample of 50 people is within 1 of the population mean. Which event has a higher probability? true What function on the calculator helps you find probabilities for normal distributions? B If I say your grade is within 5 percent of 85, is it possible for your grade to be exactly 80 percent? normalcdf(min,max,mean,sd) How many ways can I give out gold, bronze and silver award to three out of 10 people? yes The ages of six members of a board of directors of a nonprofit organization are shown below. Consider these board members to be a population of interest. The mean age, μ, for the population is 47. Find the probability as percent that a sample mean of size 5 will be within 2 years of the population mean. 720