On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 111 and a standard deviation of 15. Suppose one individual is randomly chosen. Let x = 10 of an individual. a. What is the distribution of X? b. Find the probability that a randomly selected person's over 125.Round your answer to 4 decimal places. C. A school offers special services for all children in the bottom 5% for scores. What is the highest score a child can have and still receive special services? Round your answer to 2 decimal places

Q: Illustration : The mean and standard deviation of a set c 100 observations were 40 and 5 respective…

A: Mean is the average value of given observations. For a set of 'n' observations, mean is the sum of…

Q: Suppose you select a sample of 2,000 high school seniors' verbal SAT scores. The mean and standard…

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Q: Construct the described data set. The entries in the data set cannot all be the same. The mean is…

A: It is needed to discuss about the mean.

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A: Standard deviation is a measure of the amount of dispersion of a set of values. It is obtained by…

Q: Suppose your statistics professor graded your test with a Z Score.  You earned a 3.25 on a test with…

A: Answer:- Given, Mean, µ = 71  Standard deviation, σ = 8  And Z-score = 3.25  We need to find the…

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A: Standard deviation of sample is given by

Q: he measure of dispersion O a. Interquartile range b. O b. Coefficient of variation O c. Range O d.…

A: Mean = x¯

Q: 21. In an example from class, Peyton Manning's starting salary was significantly different from the…

A: Since you have posted multiple-choice independent questions in the same request, we will solve the…

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A: To find the median of the distribution, you'll first need to arrange the outcomes in ascending order…

Q: c. The 95th percentile for novels is words. (Round to the nearest word) d. The middle 40% of romance…

A: Given, Number of words in romance novel follows normal distribution with mean 64,169 and standard…

Q: At the end of the semester a professor wants to organize student’s grades by how many students…

A: Given data, At the end of the semester a professor wants to organize student’s grades by how many…

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A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

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A:

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Q: This population has a mean of 50. If we took an infinite number of samples and got the mean of each…

A:

Q: Use the sample mean(78.5)and sample standard deviation (12.3671)in your calculations below. Use…

A: Given that:

Q: Tom runs a large animal shelter. At Tom's shelter, the length of stay for puppies has a mean of 76…

A: Given,mean(μ)=76standard deviation(σ)=13and X=41

Q: A research firm claims that the distribution of the days of the week that people are most likely to…

A: The question is about categorical data analysis.Given :

Q: The average and standard deviation for ACT scores are 20 and 3 respectively. average and standard…

A:

Q: A set of exam scores is normally distributed and has a mean of 79.3 and a standard deviation of 7.4.…

A: Given datanormal distribution μ=79.3σ=7.4choose a random score less than or equal to this 0.0078we…

Q: What raw score does he need to get the certificate

A: Given that Mean = 83 And SD = 3.2

Q: 5. Two different 5th grade classes take the same test. In the first class of 50 students the mean…

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A: The given situation fits binomial distribution as there are 300 independent trials (300 people),…

Q: A student takes a multiple-choice test that has 6 questions. Each question has four choices. student…

A: It is given that,  A student takes a multiple-choice test that has 6 questions i.e. n=6 Each…

Q: a. Which test do we use? b. Using this test, decide if there is a difference between the two groups.

A: x = 81.9 y = 86.1 s1 = 9.8 s2 = 10.3 n1 = 64 n2 = 175

Q: Twenty-six car salespeople were sampled to see how many cars they sold in a month; the following…

A: 19, 27, 27, 14, 23, 17, 32, 11, 27, 31, 22, 33, 28, 26, 31, 25, 23, 31, 26, 36, 24, 28, 12, 28, 25,…

Q: Find the standard deviation of the following set of scores. 10, 2, 38, 23, 38, 23, 21, 23

A: From given data, set of score: 10, 2, 38, 23, 38, 23, 21, 23 Count, N = 8 Sum, ∑x = 178

Q: The distances golf balls travel under laboratory testing conditions are normally distributed. The…

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Q: The average number of words in a romance novel is 64,167 and the standard deviation is 17,403.…

A: Introduction: Denote the random variable, Denote X as the number of words in a randomly selected…

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A:

Q: The tourist bureau of the Caribbean Islands surveyed a sample of 5 United States tourists as they…

A: Standard deviation :

Q: romance novel is 64,124 and the standard deviation is 17,208. Assume the distribution is normal. Let…

A:

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

A: Given that.   X~N( 0 , 1 )   μ=0  , ?=1 (for standard normal distribution)    Z-score =( x - μ )/?

Q: Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest…

A: The formula for calculation of z – score is shown below                   z = (x – xbar)/sd where, x…

Q: A class has an equal number of boys and girls. The boys all got 78% on a test and the girls all got…

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A: Solution

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.