Module 2 Midterm 1

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Arizona State University *

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280

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Statistics

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Apr 3, 2024

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Module 2: Midterm 1 EGR 280 Instructions Several questions on this exam require you to calculate numerical answers. To increase the probability that your answers will be correctly graded by Canvas, round—do not truncate—your answers to 3 digits to the right of the decimal point. If you are using a spreadsheet, you can set it to display 3 digits to the right of the decimal point; this will automatically round the value for you. Some problems may require you to download a data file saved in a .csv format; you can download the .csv file by right clicking on the link to the file (on a Windows PC) or holding down the control key and clicking on the link to the file (on a Mac). This exam is open book, open notes. You may use any class materials, your previously submitted homework assignments, or material that you find on the web. This exam is to be purely an individual effort; you cannot collaborate with anyone else in working this exam. Collaboration would include working with other students in the class, posting a question to an online forum or discussion group for help, or seeking help from any individual other than the course instructor in any way. Your test will not be graded unless you agree to the following statement on academic honesty. | certify that this submission consists entirely of my work. | have neither requested nor accepted help from anyone in doing this work. | have not given help to anyone else for this test. | understand that collaborating with anyone else in any form on this test is considered academic dishonesty and will be sanctioned as described in the Student Academic Integrity Policy.

Question 1 1/1pts Graphical Representations of Data The data below contains a random sample of values. 0.25 157 0.5 69 0.75 41 1 43 1.25 36 1.5 29 1.75 30 2 36 2.25 30 2.5 28 2.75 27 3 17 3.25 14 3.5 25 3.75 23 .0 ©O5 10 15 20 25 30 35 40

Question 2 1/1pts Probability A random variable X has the followingprobabilities: P(X < 6)= 0.35, P(X < 8) = 0.45,and P(X <12) = 0.90. Compute P(8 < X <12) 0.45 Question 3 1/1pts Inverse Normal Distribution X is normally distributed with a mean of -7.12 and a standard deviation of 1.32. Find the value of x that solves P(X > x) = 0.20 -6.01 Question 4 1/1pts Central Limit Theorem X1, X2, ... Xa0 is a random sample from a distribution withmean p = 6.10 and variance 6% = 4.11. Find P(5.83 < X< 6.34). 0.573

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Basic Statistical Computations. Arandom sample of data values is below 5.420402 5.53903 5161382 3.535091 1.973338 5127462 3.354519 3.268087 6.102883 5.422123 3.195039 3.243508 3.769536 373773 3171168 2277538 3833511 6.593033 5196887 6.393689 486886 319927 4510184 1.604008 3.124771 3.883625 468028 5.07687 4069922 3.048758 2736189 4113434 6.385065 5.826937 25026 2.052006 4337765 4961351 3.380004 5.945821 5588696 5172885 279425 2658849 1731584 2901474 4123785 6112025 1.088488 3.801637 Compute the sample standard deviation of the data values. 1363

Ques Random Variable Vocabulary Select all of the statements that could describe a discrete random variable(there is more than one statement). The number of heads that ocour in 26 tosses of a coin 1/1pts A binomial random variable Ques Basic Statistical Vocabulary Match the words with their definitions. Reasoning from a sample to a Statistical Inference population. Successive observations of a system or phenomenon do not produce exactly the same result. Variability An observation that differs Outter considerably from the main body of the data. ‘The entire collection of objects —— or outcomes about which data are collected. A subset of the population — containing the observed objects or outcomes and the resulting data from these objects or outcomes. 1/1pts

Question 8 1/1pts Binomial Random Variable X has a binomial distribution with n = 15 and p = 0.06. What is P(X > 2)? 0.057 Question 9 1/1pts Normal RV Probability X is normally distributed with a mean of -4.63 and a standard deviation of 0.22. What is P(-4.92 < X s -4.59)? 0.478 Question 10 1/1pts Your test will not be graded unless you agree to the following statement: | certify that this submission consists entirely of my work. | have neither requested nor accepted helpfrom anyone in doing this work. | have not given help to anyone else for this test. | understandthat collaborating with anyone else in any form on this test is considered academic dishonesty and will besanctioned as described in the ASU Student Academic Integrity Policy. I agree to this statement 1do not agree to this statement

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Question 11 1/1pts Normal Random Variable Select all of the statements that are true of this graph(more than one statement below is true). 12 ——— —— —— Density A 1.0 == Density B || — Density C 0.8 1 f(x) 0.4F Density A has the smallest mean Density A has the largest mean Density B has the smallest mean Density B has the largest mean. Density C has the smallest mean. Density C has the largest mean Density A has the smallest variance Density A has the largest variance. Density B has the smallest variance. Density B has the largest variance. Density C has the smallest variance Density C has the largest variance.

Question 12 1/1pts Random Variable Concepts A random variable X has the cumulative distribution functionF(x) = 1-e2%% x 2 0 Compute P(0.28 < X £ 2.22) 0.438 Question 13 1/1pts Your test will not be graded unless you say yes to the following statement: | certify that this submission consists entirely of my work. | have neither requested nor accepted help from anyone in doing this work. | have not given help to anyone else for this test. | understand that collaborating with anyone else in any form on this test is considered academic dishonesty and will be sanctioned as described in the ASU Student Academic Integrity Policy. yes no Quiz Score: 13 out of 13