Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Related questions
Question
Compute the standard deviation for set
{8,8,9,9,9,10,10}.
Expert Solution
arrow_forward
Step 1
Data set = {8,8,9,9,9,10,10}
Here, n=7
Mean of the data is (8+8+9+9+9+10+10)/7 = 63/7 =9
The deviation is calculated as:
d^2 =(8-9)^2+(8-9)^2+(9-9)^2+(9-9)^2+(9-9)^2+(10-9)^2+(10-9)^2=4
The formula for variance is Sigma d^2/ n-1 for unbiased value=
V =4/6 =0.666667
Step by stepSolved in 2 steps
Knowledge Booster
Similar questions
- A large online retailer places packed and ready-to-be-shipped boxes in a line on a conveyor belt. A sample of boxes will be used to estimate the mean weight of boxes shipped on a given day. One proposed method for selecting the sample is as follows: ⚫ Generate a random integer from 1 to 20. . Use that integer to select an initial box from the first 20 boxes in line on the conveyor belt. • Select every 25th box that follows the initial box on the conveyor belt for the rest of the day. Which of the following best describes the proposed sampling method? (A) Stratified random sample, stratified by time of day (B) Cluster sample, with times of day as clusters (C) Cluster sample, with box weights as clusters (D) Systematic random sample (E) Convenience samplearrow_forwardFive loci defined by microarrays are known to contribute to meat quality in cattle. These can be tested using microarrays. Premium meat quality occurs when eight or more of the alleles at these five loci are of the “contributing” variety. An uppercase letter indicates a contributing allele and lowercase letter indicates a noncontributing allele. One can determine the genotype of cattle with a microarray. If the following genotypes of a cow and a bull (respectively) are crossed, what is the probability the first offspring will have eight or more contributing alleles? Assume all loci are autosomal and independent. AaBbccDDEe × AaBBCCDdEearrow_forwardA researcher is interested in the average time it takes a 3D printer to print a certain object. They time a random selection and end up with the following times (in seconds):46, 53, 43, 45, 39, 42, 43, 44, 42, 48, 51, 50, 39, 43, which they pasted into R asprint_times <- c(46,53,43,45,39,42,43,44,42,48,51,50,39,43).Use R to compute a 98% confidence interval for the mean printing time.(a) Give the R code that produces the interval.(b) Give the confidence interval computed in R.(c) Write a verbal interpretation of your confidence interval. (For example: We are xx%confident...)arrow_forward
- 1) A die is rolled 9 times and the number of times that two shows on the upper face is 1) counted. If this experiment is repeated many times, find the mean for the number of twos.arrow_forwardA fair die is rolled ten times and each time the face-up is recorded. Let X be the number of times a number less than 3 has been recorded. a) what is the "state space"? b) what is the variance?arrow_forwardThe weights of all the turkeys sold in Fairfax County in 2020 were recorded in the data set “Fairfax Turkey Weights” found in the table with the column labeled "Weight". The weights are presented in pounds. There are 235,428 turkeys in this population. Does the mean calculated in the table with the column labeled "Sample (Weight)" come from a sampling distribution that is approximately Normal? Check all three conditions of the Central Limit Theorem using one complete sentence for each condition to answer this question.arrow_forward
- Suppose population 1 consists of all students who picked up all the tests they completed prior to taking the final exam. Suppose population 2 consists of all students who had one or more tests that they completed that were not picked up prior to taking the final exam. Based on years of grading final exams and observing grades, STAT 210 instructors conjecture that the mean final exam grade for all students who picked up all their tests is higher than the mean final exam grade for all students who had one or more tests that were not picked up. A simple random sample of 56 students who picked up all tests they completed was selected, and the mean score on the final exam for this sample of students was 83 with a standard deviation of 10.4. An independent simple random sample of 51 students who had one or more tests that were not picked up was selected, and the mean score on the final exam for this sample of students was 67 with a standard deviation of 24.2. Both distributions are skewed…arrow_forwarda random sample of 85 group leaders ,supervisors and similar personnel revealed that on average a person spent 6.5 years on the job before being promoted . \The standard deviation of the population was 1.7 years. Find the 95% con idence interval for the population a)6.99 and 7.99 b) none of the above c)4.15 and 7.15 d)6.14 and 6.86 e)6.49 and 7.49arrow_forwardSuppose the commuting time on a particular train is uniformly distributed between 34 and 54 minutes. What is the mean commuting time?arrow_forward
- Suppose that a simple random sample of n = 2 numbers will be selected from the list of values 10, 12, 14, 16, 18. (a) There are ten possible equally likely samples of n 2 numbers that could be selected (10 and 12, 10 and 14, etc.). Calculate the sample mean for each sample. = Sample 10, 12 Sample 12, 16 I 10, 14 12, 18 10, 16 14, 16 10, 18 12, 14 14, 18 16, 18 (b) Summarize the results of part (a) into a table showing the sampling distribution of possible sample means. To do this, list each possible value for the sample mean along with the probability the value would occur. (Enter your answers from smallest to largest value for the sample mean.) Probabilityarrow_forwardSuppose population 1 consists of all students who picked up all the tests they completed prior to taking the final exam. Suppose population 2 consists of all students who had one or more tests that they completed that were not picked up prior to taking the final exam. Based on years of grading final exams and observing grades, STAT 210 instructors conjecture that the mean final exam grade for all students who picked up all their tests is greater than the mean final exam grade for all students who had one or more tests that were not picked up. A simple random sample of 56 students who picked up all tests they completed was selected, and the mean score on final exam for this sample of students was 83 with a standard deviation of 10.4. An independent simple random sample of 51 students who had one or more tests that were not picked up was selected, and the mean score on the final exam for this sample of students was 67 with a standard deviation of 24.2. Both distributions are skewed…arrow_forwardFind the number of ways in which one A, three B’s, two C’s, and one F can be distributed among seven stu-dents taking a course in statistics.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
Numerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill Education
Introductory Mathematics for Engineering Applicat...Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEY 
Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
Advanced Engineering Mathematics
Advanced Math
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:9780073397924
Author:Steven C. Chapra Dr., Raymond P. Canale
Publisher:McGraw-Hill Education
Introductory Mathematics for Engineering Applicat...
Advanced Math
ISBN:9781118141809
Author:Nathan Klingbeil
Publisher:WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,