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- You’ll want to use nCr or nPr on your calculator for these first three problems. They are very time- consuming to compute by hand. Remember to use nPr when the order matters and nCr when it does not. You will find both commands by pressing the [MATH] key on your calculator and scrolling over to PROB. The factorial (!) is in this list as well. How many different samples of size 35 may be selected from a population of size 120? How many ways can positions 1 through 10 be decided in a 40-car automobile race? A 40-person city council consists of 21 men and 19 women. If the council president randomly selects 10 council members to work on a community outreach project, how likely is she to pick exactly 5 men and 5 women.please solve all parts within 30 minutes.Lotus Yoga Products has 10 operators, and the company works 8 hours a day (8 am to 5 pm with an hour break), 5 days a week. Company is manufacturing yoga pants and the standard minute value for a line to finish one pant=20 minutes. Company produces 178 pairs of pants a day. Calculate the output, in-put and productivity (first two answers in minutes and third as a percentage). What is the number of days to finish the order for 2500 pants (round to whole number) = Required capacity needed in hours /actual capacity per day in hours
- Several years ago, the Arcadia school system was criticized because the average Arcadia High School graduate could read at only the ninth-grade level. After this report was made, a special reading program was established to upgrade skills. The AHS principal wants to know if the reading program worked. If it has, he will request that an accreditation team visit the school. If the program has not improved the reading level to at least 10.0 (sophomore level), the administrator would like to avoid the embarrassment of a poor review. To determine the average reading level of the senior class, we select ten seniors at random. We assume that reading scores are normally distributed. The reading scores for the ten seniors are shown in Table 1. Table 1: Reading Scores for Sample High School Seniors Student Reading Score 1 13.4 2 12.1 3 11.4 4 10.6 5 10.3 6 10.2 7 9.8 8 9.7 9 9.4 10 8.6 Calculate the sample mean…please answer correctly:The American Heart Association is about to conduct an anti-smoking campaign and wants to know the fraction of Americans over 38 who smoke. Step 1 of 2: Suppose a sample of 273 Americans over 38 is drawn. Of these people, 79 smoke. Using the data, estimate the proportion of Americans over 38 who smoke. Enter your answer as a fraction or a decimal number rounded to three decimal places. Step 2 of 2: Suppose a sample of 273 Americans over 38 is drawn. Of these people, 79 smoke. Using the data, construct the 85% confidence interval for the population proportion of Americans over 38 who smoke. Round your answers to three decimal places. Lower end point, upper end point
- how to convert a decimal nimber to a redical? with and without calculator.Answer dWe are interested in estimating the proportion of people that can identify Nebraska but not Vermont. In a class of 55 students, each student was requested to select a sample of 6 people, show each person a map of the US and ask the person to identify the states of Vermont and Nebraska. The following numbers are the counts that each student got, that is, each number is the count of people in the student sample of 6, that could identify Nebraska but not Vermont.3344010110020030002020001100002010000001000200000001010Note: You can cut and past these numbers into an excel spreadsheet to help you calculate the mean and the standard deviation and compute the confidence interval. If you have trouble pasting them, paste them to a text file first and then copy from there.When we collect all the students' data, we have a sample size of 6x55=330.Of the sample of 330 people, what proportion were able to locate Nebraska but not Vermont? (round answer to 3 decimals) Find a 95% confidence interval for…
- Assume there are 3500 undergraduate students studying at AUA, 1800 students have taken Business Math (denote with BM), 1500 students have taken Environmental Science (denote with ES), and 1400 AUA students have taken both Environmental Science and Business Math. Select one answer. Select one: a. P(ES or BM)= 0.543, P(ES' and BM)= 0.11 b. P(ES or BM)= 0.942, P(ES' and BM)= 0.51 c. P(ES or BM)= 0.543, P(ES' and BM)= 0.51 d. P(ES or BM)= 0.943, P(ES' and BM)= 0.11For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.In a combined study of northern pike, cutthroat trout, rainbow trout, and lake trout, it was found that 20out of 860fish died when caught and released using barbless hooks on flies or lures. All hooks were removed from the fish. (a) Let prepresent the proportion of all pike and trout that die (i.e., pis the mortality rate) when caught and released using barbless hooks. Find a point estimate for p. (Round your answer to four decimal places.)(b) Find a 99% confidence interval for p. (Round your answers to three decimal places.) lower limit upper limit