In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, wher O represents the worst possible life and 10 represents the best possible life. The mean response was 5.9 with a standard deviation of 2.5. (a) What response represents the 86th percentile? (b) What response represents the 55th percentile? (c) What response represents the first quartile? (a) The response that represents the 86th percentile is 8.60 (Round to two decimal places as needed.) (b) The response that represents the 55th percentile is 6.21 (Round to two decimal places as needed.) (c) The response that represents the first quartile is, (Round to two decimal places as needed.)

Q: People with z-scores above 2.5 on an IQ test are sometimes classified as geniuses. If IQ scores have…

A: Given,   People with z-scores above 2.5 on an IQ test are sometimes classified as geniuses. If IQ…

Q: When IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is…

A:

Q: Suppose you have the population values 50 and 80 and that their corresponding z-scores are -1 and 2.…

A: Given : Suppose population values 50 and 80 and their corresponding Z scores are -1 and 2 ,…

Q: Suppose the population values 50 and 80 and that their corresponding z scores are -1 and 2…

A: The z score for the population value of 50 is -1 and the z score for the population value of 80 is…

Q: For a population with mean 80 and standard deviation 6, what is the z-score corresponding to X = 68…

A: Given :Population mean u=80Standard deviation σ=6X=68

Q: Suppose scores from a certain test were distributed roughly normally, with a mean score of 75 with a…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: For a population with a mean of 75 and a standard deviation of 12, what proportion of sample means…

A: Given, Mean μ = 75 Standard deviation σ = 12 sample size n = 16

Q: A large number of applicants for admission to graduate study in business are given an aptitude test.…

A:

Q: For a population with mean 90 and standard deviation 10, what is the z-score corresponding to X =…

A:

Q: In a study of inter spousal aggression and its possible effect on child behavior, the Behavior…

A:

Q: What is the difference between deviation and standard deviation?

A: Before we know the difference between deviation standard deviation, we should know about both these…

Q: Is it worth pursuing a doctoral degree in education if you already have an undergraduate degree? One…

A: Let Population 1 be the salaries for people with doctoral degrees and Population 2 be the salaries…

Q: In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide…

A: Let Z be the standard normally distributed random variable with mean 0 and standard deviation 1.

Q: A score that is 6 points below the mean correspond. to a z-score of z = -2.00. What is the…

A: The following is the formulae for z-score                       i.e., z=X-μσ Here, X is variable…

Q: What proportion of individuals score less than 51   points on this test?

A: given: mean score = 65 standard deviation of the score = 8 we need to find proportion of individuals…

Q: Using a college cost estimator, the average of campus rental at Penn State is approximately $547 per…

A: Note: Hey, since there are multiple subparts are posted, we will answer first three subparts for…

Q: A score that is 6 points below the mean corresponds to a z-score of z = -2.00. What is the…

A: Given: z-score = -2.00 Formula: Where,

Q: If the average score on a statistics exam was 76, and the standard deviation was 7, what can you…

A: Given : The average score on a statistics exam was 76, and the standard deviation was 7

Q: suppose you have the population values 50 and 80 and their corresponding z-scores are -1 and 2, mean…

A: Let, X1=50, X2=80 and Z1=-1, Z2=2

Q: It is possible to score higher than 1600 on the combined mathematics and reading portions of the…

A: The proportion of SAT scores were actually higher than 1600 is,

Q: reported that the 27-year-old mother of three worked, on average, a 75 hour week. Recently, many…

A: As the population standard deviation is not known, we will use a t-test. The null and alternative…

Q: 16. In a standardized test with a normal distribution of scores, the mean is 63 and the standard…

A: here use normal curve property and value near to center in curve have more chance to occur

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…

Q: A score that is 6 points below the mean corresponds to a z-score of z = -1.50. What is the…

A: We have to find population standard deviation from given information. We need to use z score…

Q: If a distribution of test scores is normal, with a mean of 78 and a standard deviation of 11, what…

A: Let X be a test score. Then, X ~N(78,112). Then, X~N(78,112)⇒Z=X-7811~N(0,1) a.) P[ Test score is…

Q: If you score 76 on a commercial pilot exam that has a mean score of 70 and a standard deviation of…

A: We have to find given percentile ....

Q: If research samples 28 college students and wants to compare the sample mean of 8 to the population…

A: From the provided information, Sample size (n) = 28 Sample mean (x̄) = 8 Population mean (µ) = 12…

Q: if you obtain a score of 16 on an anxiety questionnaire and you know that the population mean and…

A: Given,mean(μ)=20standard deviation(σ)=5and a score(X)=16

Q: If a distribution of test scores is normal, with a mean of 78 and a standard deviation of 11, what…

A: If a distribution of test scores is normal, Mean = 78 Standard deviation = 11

Q: In an intelligence exam to determine the IQ of students, it is found out that the results are…

A: Let X be the IQ score of students which follows normal distribution with mean 100 and standard…

Q: Suppose you have the population values 50 and 80 and that their corresponding z-scores are-1 and 2.…

A: Given : Suppose the population values 50 and 80 and that their corresponding z scores are -1 and 2…

Q: Suppose that the scores on a reading ability test are normally distributed with a mean of 70 and…

A: From the provided information, Mean (µ) = 70 Standard deviation (σ) = 10 Let X be a random variable…

Q: The sum of deviation scores in any distribution (population or sample) is always equal to 0.…

A: Let us take an example.   Let X be random variable    we know that Meanx¯=∑xn Therefore, ∑x=nx¯

Q: An auditor, pressed for time and on a low budget, is concerned with account errors on customer…

A: The hypotheses are given below:

Q: Suppose that the scores on a reading ability test are normally distributed with a mean of 70 and a…

A: Let X denote the scores on reading ability test and it follows normal distribution with mean of μ=70…

Q: Suppose that the scores on a reading ability test are normally distributed with a mean of 60 and a…

A: Given that μ=60 and σ=10

Q: 4. On a standardized test, scores are normally distributed with a mean of 400 and a standard…

A: GivenMean(μ)=400standard deviation(σ)=80

Q: Say that an extraversion scale has a population mean of 40 and a standard deviation of 10. About…

A:

Q: In a study of 400 people, the mean age is 50 years and the standard deviation of age is 10 years.…

A:

Q: It is possible to score higher than 1600 on the combined mathematics and reading portions of the…

A: SAT scores are normally distributed with mean = 1017 and standard deviation = 217proportion of SAT…

Q: In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide…

A:

Q: Glucose levels in patients free of diabetes are assumed to follow a normal distribution with a mean…

A: Given: μ=120σ=16 1. The proportion of patients have glucose levels exceeding 115 is obtained as…

Q: "According to Dietary Goals for the US (1977), high sodium intake may be related to ulcers, stomach…

A: The following information has been provided.  Hypothesized population mean = 220 Sample mean = 230…

Q: In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide…

A: Formula of z score : z = x - μσ

Q: 2. Alfred scored 82 in a quiz in English for which the average score of the class was 75 with a…

A: GivenAlfred scored 82 in a quiz in english with Mean(μ)=75standard deviation(σ)=10score 70 in a quiz…

Q: Given IQ scores are approximately normally distributed with a mean of 100 and standard deviation of…

A: From the given information,   Mean = 100 Standard deviation = 15   The objective is to find the…

Q: Interpret the ­z-score of 1.45 in terms of its relationship to standard deviation as well as the…

A: Solution: From the given information, z=1.45.

Q: If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, what is…

A: The mean is 100 and the standard deviation is 15.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.