Math

StatisticsQ&A LibraryA variable is normally distributed with mean 68 and standard deviation 10. a. Determine and interpret the quartiles of the variable.b. Obtain and interpret the 99th percentile.c. Find the value that 85% of all possible values of the variable exceed.d. Find the two values that divide the area under the corresponding normal curve into a middle area of 0.90 and two outside areas of 0.05. Interpret your answer.Start your trial now! First week only $4.99!*arrow_forward*

Question

A variable is normally distributed with mean 68 and standard deviation 10.

a. Determine and interpret the quartiles of the variable.

b. Obtain and interpret the 99th percentile.

c. Find the value that 85% of all possible values of the variable exceed.

d. Find the two values that divide the area under the corresponding normal curve into a middle area of 0.90 and two outside areas of 0.05. Interpret your answer.

Tagged in

Math

Statistics

Find answers to questions asked by students like you.

Q: A variable has the density curve whose equation is y = 2x for 0< x< 1, and y = 0 otherwise. a....

A: Click to see the answer

Q: Social Security Numbers A Social Security number consists of nine digits in a particular order, and ...

A: Preliminary calculation:Each digit can be numbered from 0 to 9.Since repetition of digits is allowed...

Q: Acceptance sampling Exercises 35 and 36 involve the method of acceptance sampling, whereby a shipmen...

A: Define the random variable x, as the number of defective batteries. The probability of defects in a ...

Q: The area under a particular normal curve between 10 and 15 is 0.6874. A normally distributed variabl...

A: The area under the normal curve between 10 and 15 is 0.6874.Therefore the probability is given by:

Q: Identifying H0 and H1 In Exercises 5–8, do the following: a. Express the original claim in symbolic ...

A: a)Here, the test claims that most of the adults would erase all of their personal information online...

Q: Probability Rewrite the following statement so that the likelihood of rain is expressed as a value b...

A: The probability can be expressed in either decimal or in percentage format.

Q: XSORT Gender Selection MicroSort’s XSORT gender-selection technique is designed to increase che like...

A: Click to see the answer

Q: 8. True or False? The mean is the best measure of central tendency for a data set where they are no ...

A: Mean:It is one of the measures of central tendenacy where the value is calculated by dividing the su...

Q: A national survey asked 1261 U.S. adult fast-food customers which meal they ordered. A) identify var...

A: VARIABLE:A variable is any characteristic that is recorded for each case.A variable is an attribute ...

Q: Significance with Range Rule of Thumb. In Exercises 29 and 30, assume that different groups of coupl...

A: (a)

Q: State the basic counting rule (BCR).

A: Basic counting Rule (BCR) states that if there are m ways of doing one thing and n ways of doing ano...

Q: Prices of New Mobile Homes. The U.S. Census Bureau publishes annual price figures for new mobile hom...

A: (a)The empirical rule is used for finding the interval for which approximately 95%of the mobile home...

Q: In Exercises 21–24, assume that when adults with smartphones are randomly selected, 54% use them in ...

A: Define the random variable x as the number of adults who use their smartphones during meetings or cl...

Q: Poisson Probability Distribution The random variable x represents the number of phone calls the aut...

A: It is given that the number of phone calls the author receives in a day follows a Poisson distributi...

Q: Teed Off When four golfers are about to begin a game, they often toss a tee to randomly select the o...

A: Factorial Rule:The total number of ways n different objects can be arranged where order of the objec...

Q: Testing Claims About Proportions. In Exercises 9–32, test the given claim. Identify the null hypothe...

A: Null and alternative hypotheses:The null and alternative hypotheses are as follows:H0: p = 0.10H1: p...

Q: A,B, and C are mutually exclusive events such that P(A) = 0.2,P(B) = 0.6, and P(C) = 0.1. Find P(A o...

A: The formula for P(A or B or C) is given below:

Q: A and B are events such that P(A) = 0.4 and P(B| A) = 0.7. Find P(A&B).

A: The formula for dependent event P (A and B) is given below:

Q: Two normally distributed variables have the same means and the same standard deviations. What can yo...

A: Two normally distributed variables have the same means and standard deviations have the same distrib...

Q: Lefties There have been several studies conducted in an attempt to identify ways in which left-hande...

A: From the given information,Confidence level (1-α) = 0.99Margin of error = 4.σ = 15.

Q: Identifying Discrete and Continuous Random Variables. In Exercises 5 and 6, refer to the given value...

A: Click to see the answer

Q: In Exercises 1–4, use these results from a USA Today survey in which 510 people chose to respond to ...

A: Given data represent a number and proportion.Here the claim is that more than half of the population...

Q: In Exercises 25–28, find the probabilities and answer the questions. Too Young to Tat Based on a Har...

A: a)Define the random variable x as the number of adults selected who regret getting tattoos saying th...

Q: when measuring height to the nearest half inch, what are the real limits for the score of 68.0 inche...

A: Formula for real or true limits:

Q: Flight Arrivals Listed below are the arrival delay times (min) of randomly selected American Airline...

A: The t test will use to obtain the 95% confidence interval. The sample size n = 12The mean and standa...

Q: Identify two possibleways inwhich conditional probabilities can be computed.

A: Justification:The conditional probability Rule

Q: In Exercises 1–5, assume that 74% of randomly selected adults have a credit card (based on results f...

A: Define the random variable x as the number of adults having credit card. Here, the number of adults ...

Q: Sleep Q3 For a sample of 80 sleep times, approximately how many of those times are less than Q3?

A: Click to see the answer

Q: World Series. TheWorld Series in baseball is won by the first team to win four games (ignoring the 1...

A: a.The random variable X denotes the number of games that it takes to complete a World Series and the...

Q: Regarding the equal-likelihood model, a. what is it?b. how are probabilities computed?

A: a) Equal likelihood model applies when the possible outcomes of an experiment are equally likely to...

Q: Identifying Binomial Distributions. In Exercises 5–12, determine whether the given procedure results...

A: The given procedure follows binomial distribution if it satisfies the below requirements:There are a...

Q: MCAT In a recent year, scores on the Medical College Admission Test (MCAT) had a mean of 25.2 and a ...

A: Range rule of thumb:The values are significant if it is lies within 2 standard deviations away from ...

Q: Suppose that a simple random sample of size n is taken from a finite population in which the proport...

A: (a)Justification:It constitutes Bernoulli trials, if the sampling is done with replacement. Here, se...

Q: Is a probability distribution defined if the only possible values of a random variable are 0, 1, 2, ...

A: A probability distribution is not only defined by the possible values of the random variable and its...

Q: Identifying Binomial Distributions. In Exercise determine whether the given procedure results in a b...

A: Conditions for a binomial experiment:The number of trials must be fixed and each trial must be indep...

Q: There are 80 questions from an SAT test, and they are all multiple choice with possible answers of a...

A: Define the random variable x as the number of correct answers. Here, the number of questions (n) is ...

Q: Quinela In a horse race, a quinela bet is won if you selected the two horses that finish first and s...

A: Given:In 140th Kentucky Derby horse race, the number of horses is 19 and a quinela bet is won if two...

Q: Emphysema. The respiratory disease emphysema, which is most commonly caused by smoking, causes damag...

A: a)Given 1.5% of the adult American population suffers from emphysema. Total number of adult American...

Q: In Exercises 1–4, use these results from a USA Today survey in which 510 people chose to respond to ...

A: a)The “percentage” or “%” represents “divided by 100”.

Q: Estimating Standard Deviation Listed below is a sample of duration times (seconds) of eruptions of t...

A: According to the question, information about the duration time of eruption time is given,

Q: In Exercises 25–28, find the probabilities and answer the questions. Vision Correction A survey spon...

A: Define the random variable x as the number of adults who need eyesight correction. Here, the total n...

Q: A variable y of a finite population has the following frequency distribution: y 1 2 3 4 f 2 2 1...

A: a)The corresponding probabilities of the random variable Y is obtained by dividing frequency (f) of ...

Q: New Jersey Lottery Let A denote the event of placing a $1 straight bet on the New Jersey Pick 3 lott...

A: Let event A denote the placing the straight bet on the ‘New Jersey Pick 3 lottery and winning’.Proba...

Q: Comparing Gas Mileages. An experiment is to be conducted to compare four different brands of gasolin...

A: (a)Completely randomized design:The completely randomized design is a design in which, each of the e...

Q: The students in the HS3333 course recently took an exam and these were the scores: 76, 88, 67, 80...

A: Given that,76 88 67 80 44 65 50 98 5 45 23 44 65 78 66 56 8 76 87 29

Q: E is an event and P(not E) = 0.4. Find P(E).

A: According to the provided information,