Earthquakes. According to The Earth: Structure, Composition and Evolution (The Open University, S237), for earthquakes with a magnitude of 7.5 or greater on the Richter scale, the time between successive earthquakes has a mean of 437 days and a standard deviation of 399 days. Suppose that you observe a sample of four times between successive earthquakes that have a magnitute of 7.5 or greater on the Richter scale. a. On average, what would you expect to be the mean of the four times?b. How much variation would you expect from your answer in part (a)? (Hint: Use the three-standard-deviations rule.)

Question

Earthquakes. According to The Earth: Structure, Composition and Evolution (The Open University, S237), for earthquakes with a magnitude of 7.5 or greater on the Richter scale, the time between successive earthquakes has a mean of 437 days and a standard deviation of 399 days. Suppose that you observe a sample of four times between successive earthquakes that have a magnitute of 7.5 or greater on the Richter scale.

a. On average, what would you expect to be the mean of the four times?
b. How much variation would you expect from your answer in part (a)? (Hint: Use the three-standard-deviations rule.)

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Advanced Topics in Statistics

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Shaquille O’Neal Shaquille O’Neal was a professional basketball star who had a reputation for being ...

A: Step-by-step procedure for simulation using the TI-83/84 Plus calculator:Turn on the graphing calcul...

Q: FedEx Deliveries With a short time remaining in the day, a FedEx driver has time to make deliveries ...

A: Click to see the answer

Q: A variable is approximately normally distributed. If you draw a histogram of the distribution of the...

A: Justification:A variable is approximately normally distributed.If the variable is approximately norm...

Q: Washing Hands Based on results from a Bradley Corporation poll, assume that 70% of adults always was...

A: (a)Define the random variable x as the number of adults washing their hands after using the public r...

Q: Write 11^1 backwards

A: Hi! I am solving the given question in two ways. 11^1=11. The backward number is 11. Thus, the backw...

Q: Scheduling Routes A presidential candidate plans to begin her campaign by visiting the capitals of 5...

A: Permutations Rule:

Q: Significance with Range Rule of Thumb. In Exercises 31 and 32, assume that hybridization experiments...

A: a.Mean:The mean number of peas with green pods in the groups of 16 is,

Q: Buckle Up A study of the effect of seatbelt use in head-on passenger car collisions found that drive...

A: From the provided information,Drivers using a seatbelt had a survival rate = 64.1%Drivers not using ...

Q: Geometric Distribution If a procedure meets all the conditions of a binomial distribution except tha...

A: Define a random variable x as the number of subjects who is a universal donor. The number of subject...

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

A: Conditions for a binomial experiment:The number of observations n is fixed.Each observation is indep...

Q: Sample for a Poll There are 15,524,971 adults in Florida. If The Gallup organization randomly select...

A:  The selections independent or dependent is obtained below: It is given that there are 15,524,971 ad...

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: Two random variables, X and Y , have standard deviations 2.4 and 3.6, respectively. Which one is mor...

A: Standard deviation:The standard deviation indicates by how much each observation differs from a cent...

Q: Hurricanes. In Exercises 5–8, assume that the Poisson distribution applies; assume that the mean num...

A: Poisson distribution:Denote x as number of hurricanes in a year. The variable x follows Poisson dist...

Q: * Fill in the blanks. a. Data obtained by observing values of one variable of a population are calle...

A: (a)It is known that the word “Uni” means one. Univariate data is a type of data which is collected u...

Q: 120 psychology students took a standardized test. The scores are summarized in the GFDT below.   ...

A: Frequency:The frequency of a particular data value is the number of times the data value occurs.Cumu...

Q: Blood Pressure and Platelets Given below are the systolic blood pressure measurements (mm Hg) and bl...

A: Here, the association between systolic blood pressure and blood platelet has to be obtained.

Q: Persistent Poverty and IQ. An article appearing in an issue of the Arizona Republic reported on a st...

A: Observational study: If the researcher observes the behavior of the units in the study and provides ...

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: What a Word! One of the longest words in standard statistics terminology is “homosce-dasticity.” How...

A: Solution: We are given  the longest words in standard statistics terminology is “homosce-dasticity.W...

Q: Social Networking In a Pew Research Center survey of Internet users, 3732 respondents say that they ...

A: The total number of respondents is,

Q: Suppose x1 ans x2 are predictor variables for a response variable y. a. The distribution of all poss...

A: a)It is provided that x1 and x2 are predictor variables for a response variable y.Yes, the distribut...

Q: Roulette. An American roulette wheel consists of 38 numbers, of which 18 are red, 18 are black, and ...

A: Total numbers in roulette = 38numbers in red =18numbers in black = 18numbers in green = 2If the ball...

Q: What meaning is given to the probability of an event by the frequentist interpretation of probabilit...

A: The most frequent interpretation of probability:The probability of an event is obtained as the ratio...

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

A: Given information:

Q: Three Children Use this sample space listing the eight simple events that are possible when a couple...

A: Solution: We are given the below possible outcomes when a couple have three children:{bbb, bbg, bgb,...

Q: Serum Cholesterol Levels. According to the National Health and Nutrition Examination Survey, publish...

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are sol...

Q: AVONEX and MS. An issue of Inside MS contained an article describing AVONEX (interferon beta-1a), a ...

A: (a)Justification:Observational study:The investigators may simply observe a predefined set of indivi...

Q: 50 psychology students took a standardized test. The scores are summarized in the GFDT below.    ...

A: Click to see the answer

Q: A and B are events such that P(A) = 0.4,P(B) = 0.5, and P(A&B) = 0.2. Answer each question and e...

A: a.Mutually Exclusive Events:Two events are said to be mutually exclusive if they cannot occur at the...

Q: In Exercises 25–28, find the probabilities and answer the questions.  In the classic legal case of W...

A: Binomial distribution:Denote x as number of minorities. The variable x follows binomial distribution...

Q: television viewing audience: a television program rating, which is the percentage of households with...

A: a. Preliminary calculations:Some preliminary calculations are obtained as follows:

Q: State the empirical rule as specialized to variables.

A: Empirical rule:The empirical rule states that the variable shape is approximately a bell-shaped dist...

Q: The rule of thumb for using the normal approximation to the binomial is that both np and n(1 - p) ar...

A: In this case, we need to explain the reason for the restriction for rule of thumb for using the norm...

Q: Standard Tests Standard tests, such as the SAT or ACT or MCAT, tend to make extensive use of multipl...

A: Solution: We are given:Standard tests, such as the SAT or ACT or MCAT, tend to make extensive use of...

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

A: Click to see the answer

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: Simulating Dice When two dice are rolled, the total is between 2 and 12 inclusive. A student simulat...

A: Consider the experiment of rolling two dice. There are 36 equally likely outcomes. The sum of the nu...

Q: What does Chebyshev’s rule say about the percentage of observations in any data set that lie within ...

A: a.We have to determine the percentage of observations in any data set that lie within six standard d...

Q: Coffee Talk A study on the enhancing effect of coffee on long-tenn memory found that 35 participants...

A: (a)Justification:Here, the probability value is 0.049 which is less than 0.05, which shows that ther...

Q: *TVs and DVDs. According to Nielsen Media Research, 98.6% of (U.S.) households own a TV and 85.2% of...

A: a.According to Nielsen Media Research, 98.6% of households own a TV and 85.2% of the households owns...

Q: Regarding z-scores: a. How is a z-score obtained?b. What is the interpretation of a z-score?c. An ob...

A: a.Z-score:The Z-score measures a particular value’s relationship to the mean in a group of values. I...

Q: help

A: Selection of number of classes:“2 to the k rule” suggests that the number of classes is the smallest...

Q: Suppose that a sample is to be taken without replacement from a finite population of size N. If the ...

A: a).Since the sample is to be taken without replacement, there is a possibility of only one sample. B...

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 who have credit card. Here, the number of adult...

Q: Poisson: Deaths Currently, an average of 7 residents of the village of Westport (population 760) die...

A: (a)Define the random variable x as the number of deaths per year. Here, the average number of deaths...

Q: A1,A2, and A3 are mutually exclusive and exhaustive events such that P(A1) = 0.2,P(A2) = 0.5, and P(...

A: a)The required probability is calculated as follows.