2)- Industrial engineers periodically conduct "work measurement' analysis to determine the time required to produce a single unit of output. At a large processing plant, the number of total worker-hours required per day to perform a certain task was recorded for 50 days. The data are shown here: 128 119 95 97 124 128 142 98 108 120 113 109 124 132 97 138 133 136 120 112 146 128 103 135 114 109 100 111 131 113 124 131 133 131 88 118 116 98 112 138 100 112 111 150 117 122 97 116 92 122 a) Compute the mean, median, and mode of the data set. b) Find the range, variance, and standard deviation of the data set. c) Construct the interval y tơ, ỹ ± 2o, and y ± 3o. Count the number of observations that fall within each interval and find the corresponding proportions. Compare the results to the Empirical Rule. Do you detect any outliers?

2)- Industrial engineers periodically conduct "work measurement' analysis to determine the time required to produce a single unit of output. At a large processing plant, the number of total worker-hours required per day to perform a certain task was recorded for 50 days. The data are shown here: 128 119 95 97 124 128 142 98 108 120 113 109 124 132 97 138 133 136 120 112 146 128 103 135 114 109 100 111 131 113 124 131 133 131 88 118 116 98 112 138 100 112 111 150 117 122 97 116 92 122 a) Compute the mean, median, and mode of the data set. b) Find the range, variance, and standard deviation of the data set. c) Construct the interval y tơ, ỹ ± 2o, and y ± 3o. Count the number of observations that fall within each interval and find the corresponding proportions. Compare the results to the Empirical Rule. Do you detect any outliers?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Suppose we measure GPA for people in our class, we find the mean is 2.8 and the median is 3.2. What can you say is most likely true about GPAs in our class?
Students in a statistics class were asked, “About how many minutes do you typically exercise in aweek?” Responses from the men in the class were “180, 300, 60, 480, 0, 90, 300, 14, 600, 360, 120, 0,240”(a) Create a five-number summary of the men’s responses.(b) Identify any potential outliers.
What are the potential outliers given that Q1 = 6, Q2 = 13, Q3 = 22, and the IQR = 16
18. You Explain It! Quartiles One variable that is measured by online homework systems is the amount of time a student spends on homework for each section of the text. The following is a summary of the number of minutes a student spends for each section of the text for the fall 2018 semester in a College Algebra class at Joliet Junior College. Q₁ = 42 Q₂ = 51.5 Q3 = 72.5 (a) Provide an interpretation of these results. (b) Determine and interpret the interquartile range.
A teacher has 10 students in her class. She collected the finishing time (in minutes) of the mathematics testfor all students:20 24 22 32 23 25 37 26 40 35(a) Find the 25th percentile and 75th percentile of the data. (b) Find the median of the data. (c) Find the range and interquartile range of the data (d) Comment on the skewness of the data with a reason.
Median and mode are the two measure of central tendency do not affect the outliers. Select one: True False
(b) Predict what will happen to the data distribution if outlier exists in the data.
Explain outliers and normality in context of score distribution assumptions. Discuss strategies for detectingoutliers.
Don’t show explanation
True or false. If the IQR of a dataset is 0 then any observation smaller than Q1 is classified as an outlier using the 1.5(IQR) rule.
Explain why considering outliers is important when you are conducting a one-mean z-test.
The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter engine. (c) Compute and interpret the interquartile range, IQR. (d) Determine the lower and upper fences. Are there any outliers? 32.534.234.735.436.136.337.537.738.038.138.338.538.738.939.039.640.240.741.441.742.342.843.248.8