STATISTICS AND PROBABILITYQ3_WEEK 4Word ProblemsDirections: Solve the following problems showing your solution. Write your answers on a separatesheet of paper.1. Anna commutes to school every day, with an average time of 30 minutes and a standarddeviation of 4 minutes. If her travel times are normally distributed, what percent of hertravel time is less than 27 minutes?2. The pulse rates of adult men approach a normal distribution, with a mean of 80 bpm(beats per minute) and a standard deviation of 5 bpm. What percent of adults have apulse rate of more than 92 bpm?3. The 1Qs of 100 students are normally distributed with a mean of 115 and a standarddeviation of 10.a) What is the probability of selecting students whose IQ ranges between 110 and 127?b) If you will select students who have at least an IQ of 128, how many students arethey?c) If only the top 10 students from the group are selected, what would be the least IQ astudent must have to be part of the top 10?

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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...

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The first statistics exam had a mean of 73 and a standard deviation of 15 points; the second had a mean of 83 and a standard deviation of 5 points. Anna scored a 82 on both tests. Megan scored 92 on the first exam and 7272 on the second. They both totaled 164 points on the two exams, but AnnaAnna claims that her total is better. Explain. Question content area bottom Part 1 The total of Anna's z-scores is enter your response here, which is greater than Megan's total of enter your response here. (Round to one decimal place as needed.)
You are considering taking two professors for a statistics course. Both professors have an average of 65%. The first professor has a standard deviation of 1%. The second professor has a standard deviation of 15%. Which professor do you have a better chance of passing with?
PLEASE MAKE THE SOLUTION COMPLETE, UNDERSTANDABLE AND READABLE. Answer only the II and III.
This is math economics
Psychology students in the Izmir University of Economics completed the Dental Anxiety Scale questionnaire in 2020. In this study, scores on the scale range from 0 (no anxiety) to 20 (extreme anxiety). The mean score was 14 and the standard deviation was 3.5. Assume that the distribution of all scores on the Dental Aroxiety Scale is normal with u= 14 and g=35. Complete parts a through c A Click here to view a table of areas under the standardized normal curve O Table of Normal Curve Areas a. Suppose you score a 18 on the Dental Anxiety Scale. Find the z-value for this score. z= (Round to the nearest hundredth as needed ) b. Find the probability that someone scores between 13 and 18 on the Dental Anxiety Scale P(13sxs 18) =D (Round to four decimal places as needed) c. Find the probability that someone scores above 17 on the Dental Anxiety Scale P(x> 17)=(Round to four decimal places as needed.) Enter your answer in each of the answer boxes. |8 目國 100 |8 案 |8 業可 0 | 会效到商同我目 |
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Solve the problem. Round results to the nearest hundredth.The mean of a set of data is -2.91 and its standard deviation is 3.88. Find the z score for a value of 2.80.
There are two national college-entrance examinations, the scholastic aptitude test (SAT) and the American College Testing program (ACT). Scores on the SATs are approximately normal with mean 500 and standard deviation 100. Scores on the ACTs are approximately normal with mean 18 and standard deviation 6. Use the links provided for the Normal (Links to an external site.)calculator and the Inverse Normal (Links to an external site.) calculator to help complete the problems, you do not need to do any work out by hand. (instructions on how to use these calculators can be found in the week 5 star on the home page) a) What percent of all SAT scores are above 600? b) Which is the greater accomplishment, scoring 630 on the SAT or 22 on the ACT ? Explain your reasoning for your choice. c) How high a score in the SAT is needed to place in the top 2.5%.
You are interested in whether or not two different measures of child behaviour are different. The measurement tools both require the child teacher to fillout a question about the child, you give both questionares to Avery teacher and obtain two scores. On the CBCL, Avery score is is 68.On the BASC, Avery score is 32. The CBCL has a mean of 100 and a stardard deviation of 15. The BASC has a mean of 50 and a standard deviation of 10. (a) what is Avery z score on CBCL (b) What is Avery z score on BASC (c) On which test is Avery score lower relative to the population (CBCL/BASC) (d) The cutoff score for clinical diagnosis for both tests of -2 on either test are considerd clinically signifcantly concern. Do these tests give the same resultling diagnosis ? (yesy/no)
There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on a scale from 1 to 36. The distribution of ACT scores is approximately Normal with mean = 21.5 and standard deviation = 5.4. SAT Scores are reported on a scale from 600 to 2400. The distribution of SAT scores is approximately Normal with mean = 1498 and standard deviation = 316. (b) Joshua scores 17 on the ACT. Anthony scores 1030 on the SAT. Assuming both tests measure the same thing, who has the higher score? Report both z-scores. (c) What is the purpose of finding the z-scores for both the ACT and SAT scores?
I need help solving this statistics problem.

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