The hippocampus is a brain structure that is responsible for forming and accessingmemories. The mean hippocampal volume in the healthy elderly is 5.20 cm³. We know that thehippocampal volume is normally distributed. To inspect the hippocampal volume as abiomarker for Alzheimer's disease, we collected the hippocampal volumes of 16 Alzheimer'sdisease patients obtained from an image segmentation algorithm. If their sample mean was 5.10cm³ with a sample standard deviation of s-0.20 cm³. Can we conclude that the meanhippocampal volume of Alzheimer's disease patients is lower than 5.20 cm³? Use thesignificance level of 5%.

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Answered: The hippocampus is a brain structure…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The price drivers pay for gasoline often varies a great deal across regions throughout the United States. The following data show the price per gallon for regular gasoline for a random sample of gasoline service stations for three major brands of gasoline (Shell, BP, and Marathon) located in eleven metropolitan areas across the upper Midwest region (OhioGasPrices.com website, March 18, 2012). Click on the datafile logo to reference the data. DATA file Shell BP Metropolitan Area Marathon Akron, Ohio Cincinnati, Ohio Cleveland, Ohio Columbus, Ohio Ft. Wayne, Indiana Indianapolis, Indiana Lansing, Michigan Lexington, Kentucky Louisville, Kentucky Muncie, Indiana Toledo, Ohio 3.77 3.72 3.87 3.76 3.78 3.87 3.89 3.79 3.83 3.83 3.85 3.77 3.83 3.85 3.93 3.84 3.84 4.04 3.87 3.87 3.99 3.79 3.78 3.81 3.69 3.78 3.84 3.84 3.83 3.79 3.79 3.86 3.86 Use a = .05 to test for any significant difference in the mean price of gasoline for the three brands. Round SS to 6 decimals, MS to 6 decimals, F to 2…
Data was collected for 300 fish from the North Atlantic. The length of the fish (in mm) is summarized in the GFDT below. Lengths (mm) Frequency 140 - 159 1 160 - 179 16 180 - 199 71 200 - 219 108 220 - 239 83 240 - 259 18 260 - 279 3 What is the lower class boundary for the first class?class boundary =
Major League Baseball now records information about every pitch thrown in every game of every season. Statistician Jim Albert compiled data about every pitch thrown by 20 starting pitchers during the 2009 MLB season. The data set included the type of pitch thrown (curveball, changeup, slider, etc.) as well as the speed of the ball as it left the pitcher's hand. A histogram of speeds for all 30,740 four-seam fastballs thrown by these pitchers during the 2009 season is shown below, from which we can see that the speeds of these fastballs follow a Normal model with meanu = 92.12 mph and a standard deviation of o = 2.43 mph. 85 90 100 speed (mph) Compute the z-score of pitch with speed 95.8 mph. (Round your answer to two decimal places.) 1.5 Approximately what fraction of these four-seam fastballs would you expect to have speeds between 90.2 mph and 90.8 mph? (Express your answer as a decimal, not a percent, and round to three decimal places.) Approximately what fraction of these four-seam…
Major League Baseball now records information about every pitch thrown in every game of every season. Statistician Jim Albert compiled data about every pitch thrown by 20 starting pitchers during the 2009 MLB season. The data set included the type of pitch thrown (curveball, changeup, slider, etc.) as well as the speed of the ball as it left the pitcher’s hand. A histogram of speeds for all 30,740 four-seam fastballs thrown by these pitchers during the 2009 season is shown below, from which we can see that the speeds of these fastballs follow a Normal model with mean μ = 92.12 mph and a standard deviation of σ = 2.43 mph. Compute the z-score of pitch with speed 89.4 mph. (Round your answer to two decimal places.)Approximately what fraction of these four-seam fastballs would you expect to have speeds between 88.2 mph and 95 mph? (Express your answer as a decimal, not a percent, and round to three decimal places.)Approximately what fraction of these four-seam fastballs would you expect…
draw a histogram that is symmetric but not mound-shaped
A student has taken 4 area exams designed to measure particular intellectual abilities. The following table identifies each test, summarizes its characteristics, and provides the student’s score on it. Assume that the possible scores on each test are normally distributed. Area Test ? ? Student’s Score Verbal Ability 58.50 6.50 63.00 Visualization 110.00 15.00 102.50 Memory 85.00 11.50 98.00 Spatial Relations 320.00 33.50 343.00 a. Change each student’s score to its z-score equivalent b. On which test did the student score in the highest position? c. On which test did the student score in the lowest position? d. What is the percentile rank of the student’s Verbal Ability? e. What percentage of the students who took the Spatial Relations test scored higher than the student? f. Between what two scores on Memory did the middle 95% of students lie? g. What percent of students had scores between X = 95 and X = 110 on Visualization?
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Doctors at a technology research facility randomly assigned people to use computer keyboards in two rooms. In one room a group of people typed a manuscript using standard keyboards, while in the other room a second group of people typed the same manuscript using ergonomic keyboards to see if those people could type more words per minute. The table shows the resulting data. Standard Ergonomic Words per Words per minute minute 12 43 38 35 21 35 28 69 18 58 45 52 40 36 42 37 52 38 19 47 24 46 63 58
RESEARCH ANALYSIS AND PUBLICATION (LOB7) BATCH 27 An agent for a residential real estate company in a large city would like to be able to predict the monthly rental cost for apartments, based on the size of the apartments as defined by square footage. A sample of 14 apartments in a particular residential neighbourhood was selected, and the information gathered revealed the following: APARTMENT MONTHLY RENT ($) SIZE (SQUARE FEET) 1 950 850 2 1600 1450 3 1200 1085 4 1500 1232 5 950 718 6 1700 1485 7 1650 1136 8 935 726 9 875 700 10 1150 956 11 1400 1100 12 1650 1285 13 2300 1985 14 1800 1369 Do Normality Test and Linearity test, what did you find from these tests ? explain

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