Question

A variable has a mean of 100 and a standard deviation of 16. Four observations of this variable have a mean of 108 and a sample standard deviation of 12. Determine the observed value of the

a. standardized version of x.
b. studentized version of x.

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

Other

Related Statistics Q&A

Find answers to questions asked by students like you.

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: Explain why increasing the sample size tends to result in a smaller sampling error when a sample mea...

A: Sampling error:When a sample is used to estimate a population characteristic, the error resulting is...

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

A: According to the provided information,

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 = 0.15H1: p...

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: Which interval is wider: (a) the 95% confidence interval for the conditional mean of the response va...

A: Justification:Confidence interval:

Q: Teacher Salaries. Data on salaries in the public school system are published annually in Ranking of ...

A: Note:Hey, since there are multiple sub-part questions posted, we will answer first sub-part question...

Q: If two dices are rolled, what is the probability that the sum of the up-turned faces will equal 7?

A: In this case, the sample space when two dices are rolled is shown below:

Q: Mendel’s Peas Mendel conducted some his famous experiments with peas that were either smooth yellow ...

A: Solution: We have to find if four peas are randomly selected from a batch consisting of four smooth ...

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: Can you help me solve and understand these questions?

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

Q: Corporate Farms. The U.S. Census Bureau estimates the mean value of the land and buildings per corpo...

A: Click to see the answer

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: According to Table , the area under the standard normal curve that lies to the left of -2.08 is 0.01...

A: The area under the standard normal curve that lies to the left of –2.08 is 0.0188.

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: False Positive Find the probability of selecting a subject with a positive test result, given that t...

A: Given that,

Q: A variable is normally distributed with mean 10 and standard deviation 3. Find the percentage of all...

A: a.The percentage of all possible values of the variable that lie between 6 and 7 is obtained below:

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: 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: Gender-Selection Method As of this writing, the latest results available from the Microsort YSORT me...

A: Answers will vary. One of the possible answers is given below:Step-by-step software procedure to gen...

Q: Verbal GRE Scores. Refer to Problem, and fill in the following blanks. a. Approximately 68% of stude...

A: a.Here, it is observed the mean and the standard deviations of the scores on the verbal portion of t...

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: Regarding multiple linear regression analysis:  a. What sum of squares is made as small as possible ...

A: a)Method of least squares:

Q: If the question states, "What is the average miles per gallon (mpg) for all new hybrid small cars? U...

A: Click to see the answer

Q: You work for a local newspaper that recently reported on a bill that would make it easier to create ...

A: The hypotheses test,H0: p≤0.5H1: p>0.5The proportion of readers who oppose the bill is,

Q: A variable is normally distributed with mean 68 and standard deviation 10. a. Determine and interpre...

A: Hello there! in the given question there are more than three subparts. According to our policy maxim...

Q: In Exercises, X denotes a binomial random variable with parameters n and p. For each exercise, indic...

A: Continuity correction:The binomial probability is converted to a normal distribution probability by ...

Q: Car Rental Cost. To rent a car, the Acme Rental Company charges $39.95 per day plus $0.20 per mile. ...

A: a.Equation of a plane with two predictors:

Q: Fuel Expenditures. In estimating the mean monthly fuel expenditure, µ, per household vehicle, the En...

A: It is given that, n=6,841 and the sample standard deviation, s = 20.65.The confidence level is 95%. ...

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: Craps. The game of craps is played by rolling two balanced dice. A first roll of a sum of 7 or 11 wi...

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

Q: Rationalize the denominator of 1/the square root of 3

A: Click to see the answer

Q: Here is a data set that has a nearly normal distribution. data data data data 45.5 51.33 28.7...

A: The provided data set has a nearly normal distribution. It is decided that each class will include t...

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: If you sum the probabilities of the possible values of a discrete random variable, the result always...

A: The requirements for a discrete probability distribution are,

Q: Suppose that you take 1000 simple random samples from a population and that, for each sample, you ob...

A: There are 1,000 simple random samples. For each sample, 95% confidence interval for an unknown param...

Q: In Exercises, X denotes a binomial random variable with parameters n and p. For each exercise, indic...

A: Continuity correction:The binomial probability is converted to a normal distribution probability by ...

Q: Can you help asap, please

A: Note:Hey there! Thank you for posting the question. Since there are multiple questions posted, accor...

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

A: Permutations Rule:

Q: Win $1 Billion Quicken Loans offered a prize of $1 billion to anyone who could correctly predict the...

A: a. Number of games required to get 1 championship team from the field of 64 teams:There are 64 teams...

Q: Phone Numbers Current rules for telephone area codes allow the use of digits 2–9 for the first digit...

A: The fundamental counting rule statte that, If the first event could occur in m ways and he second ev...

Q: Consider the normal curves that have the parameters µ = 1.5 and σ = 3; µ = 1.5 and σ = 6.2; µ = -2.7...

A: Justification:The spread is represented by standard deviation (σ). If the value of the standard devi...