Question

A population of values has a normal distribution with μ=135.9 and σ=18.1. You intend to draw a random sample of size n=96.

Find P61, which is the score separating the bottom 61% scores from the top 39% scores.
P61 (for single values) = 

Find P61, which is the mean separating the bottom 61% means from the top 39% means.
P61 (for sample means) = 

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: Problem 1: If X1, X2, ... , Xn are a random sample from a population with mean u and variance o2, us...

A: Introduction:The method of moments estimator equates the population moments with the corresponding s...

Q: A sample of n=4 scores is selected from a population with m=50 and standard deviation of 12. If the ...

A: It is given that the mean and standard deviation are 50 and 12, respectively.

Q: Given a population where p = 0.10, find the standard deviation of the samping distribution when n = ...

A: Click to see the answer

Q: E and F are mutually exclusive events. P(E) = 0.91; P(F) = 0.42. Find P(E | F)

A: Mutually Exclusive Events: The events E and F are mutually exclusive events. That is, P(E and F)=0.

Q: 2. Determine Var(Y) when Y 3X1 +2X2 with Var(X1) 1, Var(X2) 5, Cov(X, X2) 2, E X1} 3, аnd E{X} 4.

A: Click to see the answer

Q: Please show TI 84 steps

A: The provided random sample are given as:

Q: Part b. Please show TI 84 steps

A: Confidence interval when population standard deviation is not known:The formula of confidence interv...

Q: Intensive care units (ICUs) generally treat the sickest patients in a hospital. ICUs are often the m...

A: From the given information,The average length of stay in ICU is 3.9 days, so μ = 3.9

Q: An investigator wants to estimate the mean birth weight of infants born full term to mothers who are...

A: Part (A)The provided information are:Confidence level = 95% = 0.95So, significance level (alpha) = 1...

Q: Bags of dog food are labeled 1 through 50. What is the probability that the dog will choose a number...

A: It is provided that, the bags of food have been labeled through 1 to 50.The formula to calculate the...

Q: In a survey of 909 U.S.adults with children conducted by the financial Industry Regulatory Authority...

A: The hypotheses for the test is given below.Null hypothesis:H0: p = 0.30Alternative hypothesis:H1: p ...

Q: Engineers must consider the breadths of male heads when designing helmets. The company researchers h...

A: The minimum head breadth that will fit the clientele is 4.246 and it is calculated below: Let us def...

Q: How many ways are there to choose first, second, and third prizes in an art contest with 18 entries?

A: Introduction:According to the permutation rule, if r distinct items are to be chosen from n items wi...

Q: Births are approximately uniformly distributed between the 52 weeks of the year. 1 1 sxs53 f(x) = 52

A: Solution:Continuous uniform distribution:A random variable X is said to have the rectangular distrib...

Q: Part 1 The town of KnowWearSpatial, U.S.A. operates a rubbish waste disposal facility that is overlo...

A: Part 1: Consider M be a mean for a random variable of sample size, n equal to 4689. Since the sample...

Q: Assume that a procedure yields a binomial distribution with a trial repeated n=5n=5 times. Use some ...

A: From the given information, the binomial experiment with 5 trails and p=0.676. The probability mass ...

Q: Today, the waves are crashing onto the beach every 5.3 seconds. The times from when a person arrives...

A: Let X be random variable uniformly distributed between 0 and 5.3 seconds.Denote X as the time from a...

Q: Find the area of the shaded region. The graph depicts the standard normal distribution of bone densi...

A: The area of the shaded region is 0.7277 or 72.77% and it is calculated below:

Q: Please show TI 84 steps. Part d

A: a)t>2.718, df = 11=0.01( From Excel =T.DIST.RT(2.718,11))type error = significance level = 0.01re...

Q: I would like help with this application

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

Q: The mean amount of time it takes a kidney stone to pass is 13 days and the standard deviation is 4 d...

A: It is given that the mean and standard deviation are 13 and 4.

Q: A classic counting problem is to determine the number of different ways that the letters of "differe...

A: According to the principle, if there are n objects with r1 objects of one kind, r2 objects of anothe...

Q: Question 3 of 7 Game consoles: A poll surveyed 341 video gamers, and 109 of them said that they pref...

A: It is given that in the survey, it is found that 109 out of 341 video gamers said that they prefer p...

Q: (a) Make a scatter diagram of the data. ​(b) Use the regression feature of a calculator to find the​...

A: Hey! Thanks for the question. Since we only answer up to three sub parts, we will solve first three....

Q: Below are the jersey numbers of 11 players randomly selected from a football team. Find the​ range, ...

A: Note: the sample size mentioned in the question is 11. But the given observation is greater than 11....

Q: a group of diners were asked how much they would pay for a meal. their responses were $7.50,$8.25,$9...

A: Five number summary:Minimum value: It represents the least value for any given set of observations.F...

Q: 63% of all students at a college still need to take another math class. If 4 students are randomly s...

A: It is given that n =4 and p = 0.63.The probability mass function of binomial distribution is given b...

Q: r9o1010 Au cimal places) sadle Cx03.9 63 The average score of local students on a college entrance e...

A: From the provided information, the average (μ) and standard deviation (σ) of local students on a col...

Q: a committe of 4 is to be selected from 6 men and 5 women. 1 particular man and 1 particular woman re...

A: From the given information, there are 6 men and 5 women. That is, the total number of persons is 11(...

Q: A statistics professor announces that 15% of the grades he gives are As. The results of the final ex...

A: It is given that the mean and standard deviation are 83 and 6, respectively.

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those sc...

A: Solution: We are given that IQ scores of adults are normally distributed with mean = 100 and standar...

Q: State the null and alternative hypothesis for the following: a) The average SAT in the state is repo...

A: a)Formulation of hypothesisNull Hypothesis: - mean for the local district is equal to 1010Alternativ...

Q: Consider the following data: x −4 −3 −2 −1 0 P(X=x) 0.1 0.1 0.1 0.3 0.4   Find the e...

A: Given Data and calculation for the Expected value is shown below

Q: Scrapper Elevator Company has 20 sales representatives who sell its product throughout the United St...

A: a)the population distribution can be obtained as follows:Step-by-step procedure to obtain the popula...

Q: The U.S. Census bureau serves as the leading source of quantitative data about the nation’s people a...

A: 1. From the given information,

Q: 38. P(1.12 -1.43) For Exercises 41 through 46, find the z value that corre- sponds to the given are...

A: 41.It is known that in a standard normal distribution, P(Z≤0) = P(Z≥0) = 0.5.

Q: Please see picture

A: In this context, it is assumed that the n students are selected at random without replacement from a...

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard ...

A: It is given that IQ score of adults is normally distributed with mean 105 and standard deviation is ...

Q: A random sample of 25 observations yield a mean of 106 and a standard deviation of 12. Find the prob...

A: From the given information,Sample size 25, mean 106 and standard deviation 12

Q: The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 27.5 ...

A: It is given that the mean and standard deviation are 27.5 and 3.4, respectively.

Q: Question 1

A: Let mu1 be the sample mean of acute schizophrenics and mu2 be the mean of chronic schizophrenics.Hyp...

Q: Comparison between two diets in obese children, one low-fat and one low-carb 8 week intervention wit...

A: A).The standard deviations of low-fat and low-carb groups are 8.4 and 7.7 respectively. The sample s...

Q: A population of values has a normal distribution with μ=156.7 and σ=21.1 You intend to draw a random...

A: The probability that the mean is less than 159.3 is,

Q: A population has a mean of 75 and a standard deviation of 15. You randomly sample nine people from t...

A: From the given information, the population has a mean of 75 and a standard deviation of 15. And the ...

Q: The age of a first-grader on September 1 at Garden Elementary School has the following distribution:...

A: a)The probability that she is over 6.5 years old can be calculated:

Q: An automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular manufact...

A: Solution: We are given that an automobile manufacturer finds that 1 in every 2500 automobiles produc...

Q: Dr. Song calculates a correlation coefficient of -.14 between the number or pizzas eaten and scores ...

A: Correlation coefficient:It measures the relationship between two variables. The range of correlation...

Q: Problem 3

A: Preliminary calculation:Using the EXCEL formula “=NORM.S.INV(1-(0.05/2))”, the z-value for 95% confi...

Q: what would the 95% confidence limits for a sample of 120 with a mean of 51 and a standard deviation ...

A: It is given that mean and standard deviation are 51 and 12, respectively.

Q: a previous analysis of paper boxes showed that the standard deviation of their lengths is 13 millime...

A: It is given that confidence level is 0.95, standard deviation is 13 and margin of error E is 4.Here,