Question

Math M15: Introduction to Statistics (June-July Summer II) Daniela Arrekhasadeh & 06/28/20 5:04 PM Homework: Section 3.2 Homework Save Score: 0 of 1 pt 1 of 12 (0 complete) HW Score: 0%, 0 of 12 pts Question 1, 3.2.29 Question Help 0 The accompanying histogram shows the number of runs scored by baseball teams for three seasons. The distribution is roughly unimodal and symmetric, with a mean of 689 and a standard deviation of 66 runs. An interval one standard deviation above and below the mean is marked on the histogram. Complete parts (a) through (c) below In: Click the icon to view the histogram a According to the Empirical Rule approximately what percent of the data should fall in the interval from 623 to 755 (that is, one standard deviation above and below the mean)? Approximately % of the data should fall in the interval from 623 to 755 Х - i Histogram 7 4 so 271 hey 20 10 500 600 900 Enter your answer in the answer box and then click check And 2 Darts remaining Print Done Privacy Policy Permissions | Contact Us Copyright 2020 Pearson Education Inc. All rights reserved. Terms of Use C

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Answer 1

Solution:- The percentage of data should fall in the interval from 623 to 755 is 68%.

Mean = 689

S.D = 66

x₁ = 623

x₂ = 755

By applying normal distribution:-

T 11 o

z₁ = -1.0

z₂ = 1.0

According to empirical rule 68% of the data lie between one standard deviation of the mean, hence 68% of data should fall in the interval from 623 to 755.