:Scores below the top 80 % and above the bottom 10% Bottom 10% of scores cores on the test are normally distributed with a mean of 72.8 and a standard deviation of 7.3. Find the numerical limits for a D grade. Round yo nswers to the nearest whole number, if necessary.
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- Consider the given data set. n = 12 measurements: 9, 8, 1, 5, 5, 7, 5, 6, 8, 7, 2, 0 Find the mean. USE SALT Find the standard deviation. (Round your answer to four decimal places.) z = Find the z-score corresponding to the minimum in the data set. (Round your answer to two decimal places.) Find the z-score corresponding to the maximum in the data set. (Round your answer to two decimal places.) z = Do the z-scores indicate that there are possible outliers in the data set? Since the z-score for the larger observation is larger than 2 in absolute value, the larger value is unusually large. Since both z-scores exceed 2 in absolute value, both of the observations are unusual. Since neither z-score exceeds 2 in absolute value, none of the observations are unusually small or large. Since the z-score for the smaller observation is larger than 2 in absolute value, the smaller value is unusually small.You would like to know the average hourly wage in your area. You ask 20 people, and find a sample mean of 8.50 dollars. The population standard deviation is 2.89 dollars. Assume that distribution is normal. a. Give a point estimate for the mean hourly wage.b. Give the 90% margin of error for the mean. c. Write a sentence about the results. The average hourly wage in my area is about ________, give or take _______.Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with mean 565 and standard deviation 116. Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with mean 21.3 and standard deviation 3.7. a. What is Elanor's standardized score? Round to 2 decimal places. b. What is Gerald's standardized score? Round to 2 decimal places. c. Assuming that both tests measure the same kind of ability, who has the higher score? O Gerald. O Elanor. O They both did equally welI.
- In the 1992 presidential election, Alaska's 40 election districts averaged 2038 votes per district for President Clinton. The standard deviation was 576. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district. (Source: The World Almanac and Book of Facts) Round all answers except part e. to 4 decimal places.a. What is the distribution of X? X ~ N(,)b. Is 2038 a population mean or a sample mean? Select an answer Population Mean Sample Mean c. Find the probability that a randomly selected district had fewer than 1842 votes for President Clinton. d. Find the probability that a randomly selected district had between 1997 and 2099 votes for President Clinton. e. Find the first quartile for votes for President Clinton. Round your answer to the nearest whole number.For the data shown, answer the questions. Round to 2 decimal places. 4.9 2.3 3 19.7 19.8 Find the mean: Find the median: Find the sample standard deviation:n the 1992 presidential election, Alaska's 40 election districts averaged 2111 votes per district for President Clinton. The standard deviation was 551. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district. (Source: The World Almanac and Book of Facts) Round all answers except part e. to 4 decimal places.a. What is the distribution of X? X ~ N(,)b. Is 2111 a population mean or a sample mean? Select an answer Population Mean Sample Mean c. Find the probability that a randomly selected district had fewer than 2134 votes for President Clinton. d. Find the probability that a randomly selected district had between 2048 and 2241 votes for President Clinton. e. Find the first quartile for votes for President Clinton. Round your answer to the nearest whole number.
- note: please answer it in a written form. Thank you!The weights for newborn babies is approximately normally distributed with a mean of 6.1 pounds and a standard deviation of 1.8 pounds. Use the Cumulative Z-Score Table to answer the questions below. Write your answers rounded to the nearest whole number. Consider a group of 1200 newborn babies: • How many would you expect to weigh between 7.72 and 9.34 pounds? • How many would you expect to weigh less than 9.7 pounds? How many would you expect to weigh more than 6.37 pounds? How many would you expect to weigh between 6.1 and 7.54 pounds?Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with mean 515 and standard deviation 121. Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with mean 18.6 and standard deviation 3.3. a. What is Elanor's standardized score? Round to 2 decimal places. b. What is Gerald's standardized score? Round to 2 decimal places. c. Assuming that both tests measure the same kind of ability, who has the higher score? Gerald. Elanor. O They both did equally well.
- Assume that the mathematics scores on the SAT are normally distributed with a mean of 500 and a standard deviation of 100. What percent of students who took the test have a mathematics score between 590 and 640? FAUTE E CEL Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. a S ........ % of students who took the test have a mathematics score between 590 and 640. (Round to two decimal places as needed.).In the 1992 presidential election, Alaska's 40 election districts averaged 1989 votes per district for President Clinton. The standard deviation was 568. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district. (Source: The World Almanac and Book of Facts) Round all answers except part e. to 4 decimal places. a. What is the distribution of X? X ~ N( __ , __ ) b. Is 1989 a population mean or a sample mean? Select an answer _______. c. Find the probability that a randomly selected district had fewer than 2087 votes for President Clinton. _____ d. Find the probability that a randomly selected district had between 1905 and 2194 votes for President Clinton.______ e. Find the first quartile for votes for President Clinton. Round your answer to the nearest whole number. ______Find the mean for the given sample data. Unless otherwise specified, round your answer to one more decimal place than that used for the observations. The students in Hugh Logan's math class took the Scholastic Aptitude Test. Their math scores are shown below. Find the mean score. 600 626 347 356 608 349 357 624 470 482 O 491.7 O 472.5 O 476 O 481.9 A Moving to another question will save this response. K Qu PrtScnR Home F9 PgUp F3 F4 F5 F6 End F7 F10 F12 F11 %23 2$ & 4 7 9. E T Y U // LLI