0 1 A class's quiz grades are normally distributed with a mean of 72.5% and a standard deviation of 0.75%. What percent of students scored less than 71%? type your answer... What percent of students scored between 71% and 74.75%? type your answer... % Previous %
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- The table below shows the frequency distribution of the rainfall on 52 consecutive Fridays in a certain city. Use the frequency distribution to construct a histogram. Do the data appear to have a distribution that is approximately normal? Choose the correct histogram below. O A. 30- Class Frequency 20- 0-0.19 20 10- 0.20 - 0.39 13 0- 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 0.40 - 0.59 6 0.60 - 0.79 1 OB. 30- 0.80 – 0.99 1.00 – 1.19 5 20- 1.20 - 1.39 10- 0- 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 OC. 30- 20- 10- 0- 0.0 0'2 0.4 0.6 0.8 1.0 12 1.4In the 1992 presidential election, Alaska's 40 election districts averaged 1993 votes per district for President Clinton. The standard deviation was 584. (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 1993 a population mean or a sample mean? Select an answer v C. Find the probability that a randomly selected district had fewer than 2053 votes for President Clinton. d. Find the probability that a randomly selected district had between 2074 and 2208 votes for President Clinton. e. Find the 95th percentile for votes for President Clinton. Round your answer to the nearest whole number.A teacher wants to assign an 'A' grade to everyone that scores in the 80th percentile. The grades are: 8 10 12 15 25 40 50 55 60 75 85 90 What is the 80th percentile value What is the meaning
- Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find P, the 11th percentile. This is the bone density score separating the bottom 11% from the top 89%. Which graph represents P ? Choose the correct graph below. O A. O B. OD. P11 P11 P11 P11 The bone density score corresponding to P1 is (Round to two decimal places as needed.) Click to select your answer(s). APR tv MacBook Air F9 F10 LLA 20 F3 F6 F8 F4 F5 F1 F2 & #3 7 8. %24Electricity bills: According to a government energy agenCy 2011 was $110. 10. Assume the amounts are normally distributed with standard deviation $21.00. Use the TI-84 Plus calculator to answer the following. electricity bil in the United States in (a) Find the 7th percentile of the bill amounts. (b) Find the 58th percentile of the bill amounts. (c) Find the median of the bill amounts. Round the answers to at least two decimal places.Use the table to answer the question. Note: Round z-scores to the nearest hundredth and then find the required A values using the table.A biologist found the wingspans of a group of monary butterflies to be normally distributed with a mean of 52.8 mm and a standard deviation of 2.5 mm. What percent of the butterflies had the following wingspans? (Round your answers to one decimal place.) (a) less than 48.7 mm %(b) between 50 and 55 mm %
- The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 31 hours and the median is 27.2hours. Twenty-four of the families in the sample turned on the television for 16 hours or less for the week. The 8th percentile of the data is 16 hours. Based on the given information, determine if the following statement is true or false. The first quartile is less than 16 hours.Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and standard deviation of 1.00 degrees C. A thermometer is randomly selected and tested. Draw a sketch and find the temperature reading corresponding to Upper P 84, the 84 th percentile. This is the temperature reading separating the bottom 84 % from the top 16 %. A. Which graph represents Upper P 84? B. The temperature for Upper P 84 is approximately (Round to two decimal places as needed.)A distribution of numbers is given by the following frequency histogram. Which of the following would be true? a. The mean would be greater than the median O b. The median would be greater than the mean C. The standard deviation would be less than 1 O d. The mean would be greater than the standard deviation
- 2b pleaseFind the weighted meanIn 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. ______