11Choosing an appropriate sample sizeA psychologist is studying the self image of smokers, which she measures by the self-image (SI) score froma personality inventory. She would like to estimate the mean SI score, u, for the population of all smokers.She plans to take a random sample of SI scores for smokers and estimate u via this sample. Assuming thatthe standard deviation of SI scores for the population of all smokers is 82, what is the minimum sample sizeneeded for the psychologist to be 95% confident that her estimate is within 20 of u?Carry your intermediate computations to at least three decimal places. Write your answer as a whole number(and make sure that it is the minimum whole number that satisfies the requirements).(If necessary, consult a list of formulas.)

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Answered: 11 Choosing an appropriate sample size…

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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In a study examining the relationship between socioeconomic status (SES) and academic achievement among high school students, the researchers collected data on 500 students from varying SES backgrounds. The SES was categorized into low, medium, and high. The academic achievement was measured using GPA scores. The following descriptive statistics were obtained: Mean GPA for low SES students: 2.8 Standard deviation of GPA for low SES students: 0.5 Mean GPA for medium SES students: 3.5 Standard deviation of GPA for medium SES students: 0.3 Mean GPA for high SES students: 4.0 Standard deviation of GPA for high SES students: 0.2 a) Calculate the coefficient of variation for each SES group and interpret the results.
A team of ten (10) construction workers who are working on a project are classified according to the skill levels, Classes A to D. The table below shows the number of workers in each of the four (4) classes and their respective hourly pay-rate. Pay-rate (Rands/hour) Number of workers Class A 80 Class B 60 Class C 55 Class D 50 4. Calculate the mean hourly pay-rate for the 10 workers. A. R24.50/hour B. R57/hour C. R57.50/hour D. R61.75/hour
Body mass index (BMI) is a medical screening tool that measures body fat in an individual based on height and weight. The following data sets include four random samples of BMI measurements. Each sample includes the measurements of 7 individuals. Use the range rule of thumb to estimate the standard deviation, then determine which sample has the most variation. Sample 1 25.8,39.2,32.2,18.7,22.7,28.8,25.4 Sample 2 24.5,33.3,31.7,45.9,23.4,28.2,25.8 Sample 3 30.8,19.2,29.9,25.6,28.8,31.0,27.3 Sample 4 31.8,23.9,29.1,52.6,23.6,31.1,20.6
Consider the following sample data. Sample A: 5, 8, 11 Sample B: 64, 67, 70 Sample C: 1,015; 1,018; 1,021 (a) Find the mean and standard deviation for each sample. (b) What does this exercise show about the standard deviation? multiple choice The idea is to illustrate that the standard deviation is not a function of the value of the mean. The idea is to illustrate that the standard deviation is a function of the value of the mean.
You have have sampled five production lines operating and you wish to estimate the sample standard deviation of the five lines. Given the data below, provide your estimate of the sample standard deviation to the first decimal point, that is, 0.9 instead of 1. Month Production Line 1 51 Line 2 145 Line 3 70 Line 4 119 Line 5 92
number 3, thank you
Bottles for room spray are supposed to weigh exactly 16 oz. Inspectors want to develop process control charts. They take six boxes of five bottles each and weigh them. They obtain the following data. The mean weights of each of the 6 samples are 15.69, 13.69, 15.53, 16.80, 12.31, and 13.75, respectively. Likewise, the range values for the each of 6 samples are 1.78, 0.64, 0.55, 0.38,0.21, and 0.90 respectively. Find out Grand Mean (X double bar), and mean range (R bar) O a. 14.63, 0.74 O b. 14.81, -0.74 O c. 15.53, 0.67 O d. 0,0 e. 16.53, 0.86
Find the range, vanance, and standard deviation for the given sample data. Include appropriate units in the results. Listed below are the measured radiation absorption rates (in Wikg) corresponding to various cell phone models. If one of each model is measured for radiation and the results are used to find the measures of variation, are the results typical of the population of cell phones that are in use? 1.16 0.82 0.51 0.69 1.11 0.82 0.69 0.75 0.52 0.53 1.34
HEIGHT OF GRADE 11 STUDENTS 150.8 cm 151 сm 160 cm 153.5 cm 165.3 cm 170.2 cm 167.5 cm 158.5 cm 174.6 cm 154.5 cm 140.8 cm 164.3 cm 170.4 cm 155 cm 160 cm 141 cm 150ст 163.5 cm 163 cm 161 cm Find: a. Mean b. Median c. Mode (identify the type of mode) d. Range e. Standard Deviation f. Variance g. Average Deviation h. Skewness (identify the skewness)
The ages of undergraduate students at two universities (one in the east and one in the west) are being compared. Researchers want to know if there is a difference in the mean age of students at the two universities. The population standard deviations are known. The following data shows the results of samples collected at each institution: School Location n (sample size) sample mean ( ) population standard deviation West 33 25.78 6.29 East 35 23.16 7.52 What is the value of the test statistic for the previous problem? (Enter your answer as a positive value even if you calculated a negative test statistic value i.e. if you calculated -1.311 you should enter 1.311). Round your answer to 3 decimal places.

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