The life spans of a species of fruit fly have a bell-shaped distribution, with a mean of 30 days and a standard deviation of 5 days.(a) The life spans of three randomly selected fruit flies are 31 days, 29 days, and 43 days. Find the z-score that corresponds to each life span. Determine whetherany of these life spans are unusual.(b) The life spans of three randomly selected fruit flies are 40 days, 35 days, and 20 days. Using the Empirical Rule, find the percentile that corresponds to each lifespan.The z-score corresponding a life span of 43 days is 2.6(Type an integer or a decimal rounded to two decimal places as neededi)Select all of the life spans that are unusual.O A. 31 daysO B. 29 daysC. 43 daysD. None of the life spans are unusual.(b) Determine the percentiles using the Empirical Rule.The 40 day fruit fly corresponds to theth percentile.th percentile.th percentile.The 35 day fruit fly corresponds to theThe 20 day fruit fly corresponds to the(Type an integer or a decimal.)Clear AllCheck AnswerHelp Me Solve ThisView an ExampleGet More Help -W69°Fcarch

Introduction - Z- score z=x-μσ where , μ=mean σ=standard deviation Empirical rule - The…

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A developmental psychologist is interested in studying how long babies gaze at a photograph of a human face. To test this question, she shows a picture to a sample of six babies and records the length of their gaze in seconds. The data are as follows: 12, 17, 18, 20, 20, 29. Calculate the mean, median, mode, range, variance and standard deviation for the sample.
Assume that the heights of men are normally distributed with a mean of 68.1inches and a standard deviation of 2.8 inches. If 64 men are randomly selected, find theprobability that they have a mean height greater than 69.1 inches.
A study from 2014 found that adults in the US spend an average of 11 hours per day watching, reading, listening to or simply interacting with media. Researchers at UCLA suspect students spend less time engaging media. They grouped UCLA students by class section, randomly selected 20 class sections, and administered a survey to each student in those randomly selected class sections. The following data represents the mean time (in hours) per day spent engaging media for each of the randomly selected classes: 9.5 11.5 6.0 7.5 8 9.5 10.5 11 12 8.2 5 9.5 8.2 9.3 10.8 11 13 8.6 9.5 10.5 What would be the 99% Confidence Interval for mean time (in hours) spent per day engaging media for UCLA students. Do this "by hand", using appripriate symbols/formulas/tables.
Team A: 6,6,7,7,6,5,6,5,4,5 Team B: 2,2,3,8,9,9,9,9,10,10 a. Compute the mean number of shots made for each team b. Compute the standard deviation for each team c. Compute a Z-score for the individual from team A that made 4 shots d. Compute a Z-score for the individual from team B who made 10 shots e. Using non-statistical language, write several sentences describing the difference in the free-throw shooting abilities between the two teams
Judy is a psychology student who participates in three competitions: Swimming, cycling, and running in one event. In the last competition, Judy completed the swimming race in 13 minutes and 20 seconds (800 seconds), cycling in 33 minutes and 52 seconds (2032 seconds), and the running race in 17 minutes and 3 seconds (1023 seconds. Completion times for participants in Swimming are normally distributed with a mean of / = 725 seconds and a standard deviation o - 50 seconds. Completion times for participants in Cycling* are normally distributed with a mean of = 2182 seconds and a standard deviation o= 75 seconds. And completion times for participants in Running are normally distributed with a mean of u = 1083 seconds and a standard deviation o = 60 seconds. In which competition race (swimming, cycling, or running) was Judy's performance better, relative to others on average who took part in that competition? Justify your answer, quoting. relevant statistics as part of your explanation
Heights of men have a mean of 69.0 inches and a standard deviation of 2.8 inches.Find each of the following z-scores and tell if it is unusual. a) Nosferatu is 7 ft. 1 in. tall: z = and that is (unusual/not unusual) b) Bob the Builder is 5 ft. 4 in. tall: z = and that is (unusual/not unusual) c) Kendrick is 69.72 inches tall: z = and that is (unusual/not unusual)
A study is done to determine if students in the California state university (CSU) system take longer to graduate, on average, than students enrolled in private universities using the significant level of 5%. One hundred students from both the California state university system and private universities are surveyed. Suppose that from years of research, it is known that the population standard deviations are 1.5811 years for CSU and 1 year for private universities. The following data are collected. The California state university system students took on average 4.5 years with a standard deviation of 0.8. The private university students took on average 4.1 years with a standard deviation of 0.3. What is the decision rule of rejecting the null hypothesis
A study from 2014 found that adults in the US spend an average of 11 hours per day watching, reading, listening to or simply interacting with media. Researchers at UCLA suspect students spend less time engaging media. They grouped UCLA students by class section, randomly selected 20 class sections, and administered a survey to each student in those randomly selected class sections. The following data represents the mean time (in hours) per day spent engaging media for each of the randomly selected classes: 9.5 11.5 6.0 7.5 8 9.5 10.5 11 12 8.2 5 9.5 8.2 9.3 10.8 11 13 8.6 9.5 10.5 What would be the calculator steps to find standard deviaton, rounded to 3 decimal places?
Item 19 Times for a surgical procedure are normally distributed. There are two methods. Method A has a mean of 33 minutes and a standard deviation of 8 minutes, while method B has a mean of 37 minutes and a standard deviation of 4.0 minutes. (a) Which procedure is preferred if the procedure must be completed within 34 minutes? multiple choice 1 Method A Method B Either Method (b) Which procedure is preferred if the procedure must be completed within 45.0 minutes? multiple choice 2 Method A Method B Either Method (c) Which procedure is preferred if the procedure must be completed within 41 minutes? multiple choice 3 Method A Method B Either Method
4

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