3. Analytical GRE Scores. The Graduate Record Examination (GRE) is a standardized test that students usually take before entering graduate schools. According to the GRE center, the scores on the analytical portion of the GRE have mean of 3.56 points and standard deviation 0.86 points. Assuming that these scores are normally distributed, (a) find the 99th percentile. 10% (b) approximately 95% of students who took the analytical portion of the GRE scored between and (Answers be proved.) 10%

The National Assessment of Educational Progress (NAEP) is a nationwide assessment of students' proficiency in nine subjects: mathematics, reading, writing, science, the arts, civics, economics, geography, and U.S. history. The main NAEP assessments are conducted annually on samples of students from grades 4, 8, and 12. Suppose in 2000, the science scores for female students had a mean of 146 with a standard deviation of 35. Assume that these scores are normally distributed with the given mean and standard deviation. The normal curve representing this distribution of the scores is symmetrical about a vertical line through             .   The value 41 is        below the mean, and the value 251 is         above the mean. The area under the curve between 41 and 251 is approximately            .   Similarly, 95.44% of the female students scored between          and         .

Fuel efficiency of Prius:  Fueleconomy.gov, the official US government source for fuel economy information, allows users to share gas mileage information on their vehicles. The histogram below shows the distribution of gas mileage in miles per gallon (MPG) from 14 users who drive a 2012 Toyota Prius. The sample mean is 53.3 MPG and the standard deviation is 5.2 MPG. Note that these data are user estimates and since the source data cannot be verified, the accuracy of these estimates are not guaranteed. (a) The EPA claims that a 2012 Prius gets 50 MPG (city and highway mileage combined). Do these data provide strong evidence against this estimate for drivers who participate on fueleconomy.gov? The test statistic is: __________________(please round to two decimal places)The p-value:___________________________ for this hypothesis test is:  (please round to four decimal places)(c) Please comment on the primary thing that is wrong about the following statement: There is sufficient evidence…

Construct a quantile graph. Explain why or why not the data set provided has a normal distribution: 5.5, 6.0, 6.4, 5.7, 7.5, 4.5, 5.5, 5.6, 6.5, 6.0, 5.0, and 6.0. include the graph and response.

Suppose the value of a stock varies each day from $10.82 to $23.17 with a uniform distribution. Find the third quartile, i.e. , 75% of all days the stock is below what value ?

Consider the following data: −10, −10, 0, 3, −10, 3, 3  Step 1 of 3: Calculate the value of the sample Variance. Round your answer to one decimal place. Step 2 of 3: Calculate the value of the sample deviation. Round your answer to one decimal place. Step 3 of 3: Calculate the value of the range.

Question H The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with a mean of 1261 chips and a standard deviation of 118 chips. (a) Determine the 28th percentile for the number of chocolate chips in a bag. (b) Determine the number of chocolate chips in a bag that make up the middle 96% of bags. (c) What is the interquartile range of the number of chocolate chips in a bag of chocolate chip cookies? (a) The 28th percentile for the number of chocolate chips in a bag of chocolate chip cookies is (Round to the nearest whole number as needed.) chocolate chips. (b) The number of chocolate chips in a bag that make up the middle 96% of bags is | (Round to the nearest whole number as needed. Use ascending order.) chocolate chips. to (c) The interquartile range of the number of chocolate chips is (Round to the nearest whole number as needed.) Enter your answer in each of the answer boxes. 11:59pm thase Options A0.50LA Type here to search