COLUMBAN COLLEGE INC., OLONGAPO CITYSENIOR HIGH SCHOOL -BASIC EDUCATION DEPARTMENT ASINANLEARNER'S MODULEName of the StudentSection:C No, it is unlikely reasonable that a 50 randomly selected SHS student would finish theexamination in less than 43 minutes.STUDENT PLAYSHOP: WRITTEN WORKSGeneral Directions: As a competent Columbanite, do the following activities for written worksand performance tasks.Check Yourself!Solve the following problems.1. The scores of individual students on a national test have a normal distribution with mean18.6 and standard deviation 5.9. At Columban College, 76 students took the test. If the scoresat this school have the same distribution as national scores, what are the mean andstandard deviation of the sample mean for 76 students. (Assume that the population isinfinite in each case).In 2015, the mean return of all common stocks on the Philippine Stock Exchange was 3-5%.0 uns about 26%. A student of finance forms al

Given Population mean μ=18.6, standard deviations σ=5.9, n=sample size=76

Answered: Check Yourself! Solve the following…

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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Solve it correctly both subparts
For data that is not normally distributed we can't use z-scores. However, there is an equation that works on any distribution. It's called Chebyshev's formula. The formula is p = 1 - 7.2 where p is the minimum percentage of scores that fall within k standard deviations on both sides of the mean. Use this formula to answer the following questions. a) If you have scores and you don't know if they are normally distributed, find the minimum percentage of scores that fall within 2.1 standard deviations on both sides of the mean? b) If you have scores that are normally distributed, find the percentage of scores that fall within 2.1 standard deviations on both sides of the mean? c) If you have scores and you don't know if they are normally distributed, how many standard deviations on both sides of the mean do we need to go to have 96 percent of the scores? Note: To answer part c you will need to solve the equation for k.
Practice Problem #1: The junior high basketball team played ten games. Find the standard deviation for the number of baskets scored by the team for the ten games: 8, 4, 6, 6, 7, 7,9, 4, 8, 5. Follow the steps below to calculate the standard deviation. Step 1: Average the scores in the Score column of the table below in order from the smallest to the largest. Step 2: Find the mean of the data set and place your answer below on Line A. Step 3: Subtract each of the scores from the mean. Record the difference in the Difference From The Mean column in the table below. Be sure to record whether the answer is positive or negative. (i.e.:4-5=-1,7-5%3-2) Step 4: Find the square of each number in the Difference From The Mean column and record the result in the Square of the Difference column (i.e.:(-1) 1) Step 5: The number of items in the data set in labeled n. Record the number in this data set on Line B below. Step 6: Find the sum of the numbers in the Square of the Difference and record your…
Here are some fictional scores on a recent exam: 63, 72, 83, 95, 92, 68, 76, 85. The mean was 79.25 and the standard deviation was 10.67. Calculate a z score for a raw score of 65. Laura learned that the average GPA in her school is 3.6 with a standard deviation of 0.3. If her GPA is a 3.0, what is her z score?
See picture for questions a and b. Problem For admission to graduate school, Diane is taking the physics subject-matter test, and Lena is taking the chemistry subject-matter test. For each of these tests, the distribution of scores is clearly bell-shaped. Scores for the physics test have a population mean of 631 points with a standard deviation of 26 points. Scores for the chemistry test have a population mean of 608 points with a standard deviation of 35 points. Diane scored 695 on the physics test, and Lena scored 667 on the chemistry test.
Consider two completely different data sets: price per gallon of gas in Fort Pierce and SAT scores of students at a certain high school. The price per gallon of gas data set has a mean of $2.95 and a standard deviation of S1.15. The high school SAT scores data set has a mean of 1078 and a standard deviation of 198. Calculate the Coefficient of Variation for both data sets. Round solutions to one decimal place, if necessary. Coefficient of Variation for the price per gallon of gas data set: Coefficient of Variation for high school SAT scores data set: Which data set has greater variability? Price per gallon of gas Thus, we see that when comparing two data sets, the data set with the larger standard deviation does not v necessarily have greater variabilty. Check All Parts
Solve only the part a, b and c for question 10.
In the past, the mean age of consumers of a product was 38 years. Recently the product has been drastically changed. In order to determine whether there has been a change in the mean age of the product consumers, a sample of 16 consumers is selected. The mean age in the sample is 33 years and the standard deviation in the sample is 10 years. Let u = the mean age of the current product (Problem Set #7) consumers. The value of the test statistic is Oa. -2.00 O b.-1.60 OC .0.8 O d. 4.21
Which of the following statements is not true? There is only one median for each variable. One definition of the median states that, for an odd number of observations, the median is the middle score when scores are placed in order of magnitude. Another term for the median is 50th percentile. The median is generally more sensitive to (i.e., affected by) the presence of a few extreme observations than is the mean.
There are two national college-entrance examinations, the scholastic aptitude test (SAT) and the American College Testing program (ACT). Scores on the SATs are approximately normal with mean 500 and standard deviation 100. Scores on the ACTs are approximately normal with mean 18 and standard deviation 6. Use the links provided for the Normal (Links to an external site.)calculator and the Inverse Normal (Links to an external site.) calculator to help complete the problems, you do not need to do any work out by hand. (instructions on how to use these calculators can be found in the week 5 star on the home page) a) What percent of all SAT scores are above 600? b) Which is the greater accomplishment, scoring 630 on the SAT or 22 on the ACT ? Explain your reasoning for your choice. c) How high a score in the SAT is needed to place in the top 2.5%.
B Choosing a topic Sk.. For data that is not normally distributed we can't use z-scores. However, there is an equation that works on any distribution. It's called Chebyshev's formula. The formula 1 where p is the minimum percentage of scores that fall within k k2 is p = 1 - standard deviations on both sides of the mean. Use this formula to answer the following questions. a) If you have scores and you don't know if they are normally distributed, find the minimum percentage of scores that fall within 2.2 standard deviations on both sides of the mean? b) If you have scores that are normally distributed, find the percentage of scores that fall within 2.2 standard deviations on both sides of the mean? c) If you have scores and you don't know if they are normally distributed, how many standard deviations on both sides of the mean do we need to go to have 64 percent of the scores? Note: To answer part c you will need to solve the equation for k.
In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.In the following data pairs, A represents birth rate and B represents death rate per 1000 resident population. The data are paired by counties in the Midwest. A random sample of 16 counties gave the following information. A: 12.5 13.2 12.6 12.1 11.4 11.1 14.2 15.1 B: 9.6 14.3 10.7 14.2 13.2 12.9 10.9 10.0 A: 12.5 12.3 13.1 15.8 10.3 12.7 11.1 15.7 B: 14.1 13.6 9.1 10.2 17.9 11.8 7.0 9.2

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