standard deviation of the MATHEMATICAL SKILLS

Q: What probability falls within one standard deviation of the mean?

A: It is given that the statement about to the probability falls within one standard deviation of the…

Q: Public health statistics indicate that 26% of  American adults smoke cigarettes. A random sample of…

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

A: Given, mean µ = 202 standard deviation (σ) = 38.2  Let 'x' be a random variable i.e. x~Normal(µ,σ)…

Q: The National Sleep Foundation surveyed representative samples of adults in six different countries…

A: we have given that  n1=250 ,n2=250 ,xbar1=391 ,xbar2=426 ,s1=20 ,s2=44 alpha=0.05

Q: QUESTION 6 Given an x-mean of 15 and a y-mean of 12.2, calculate the crossproduct of x=15 and y=8.

A: When x=15 and y=8 Crrosproduct =x*y = 15*8

Q: A researcher measures the amount of food consumed by each dog in her lab. She finds that the mean…

A: It is given that mean amount of food is 12 oz and number of dogs is 16. The sum of squared…

Q: Jeff is doing an experiment involving mice. The mice weights have mean weight 3.68 ounces and…

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Q: Assume that the population standard deviation on each part of the test is  = 100.

A: 1. Given: μ=502σ=100n=90 According to central limit theorem if the sample size is large, then the…

Q: What is the standard deviation of 32, 21, 17, 38 and 6.

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Q: What is the standard deviation of these sample data?Y -2 1 3 2 -1 0 4 6

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Q: can you find the mean and standard deviation?

A: Let the male data set is denoted by x, then the mean is given by the formula x¯=∑xxn. Where, the…

Q: A successful basketball player has a height of 6 feet 8 ​inches, or 203 cm. Based on statistics from…

A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

Q: If a z-score is 0, it is on the mean. True or False

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Q: Laura learned that the average GPA in her school is 3.6 with a standard deviation of 0.3. If her GPA…

A: From the given information,   Mean = 3.6 Standard deviation = 0.3   The objective is to find the…

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Consider X be a random variable which follows normal distribution indicating the score earned on a…

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

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Q: If a set of numbers has a standard deviation of zero, what can you say about the numbers?

A: The standard deviation indicates that amount of deviation of data points from the mean.

Q: professor who teaches a large introductory statistics class (197 students) with eight discussion…

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Q: A voin is tossed four times. Let x denote the number of heads. Find the mean and standard deviation…

A: A coin is tossed four times. The  denotes the number of heads.

Q: student scored in the 75th percentile on the SAT. What does that mean?

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Q: A test consists of 980 true or false questions. If the student guesses on each question, what is the…

A: Given :  n = 980 Since the questions are true or false type questions, there will be only two…

Q: If X is a number on standard dice roll, find the standard deviation (o) of X.

A: The random variable is a number on a standard dice roll.If a standard die is rolled, then its…

Q: A teacher used the scores of 9 students to identify the variability of students’ performance on the…

A: Given, Scores of 9 students are 16,43,43,41,43,43,44,43,44

Q: IQ scores are measured with a test designed so that the mean is 96 and the standard deviation is 18.…

A: The mean μ is 96  S.D  σ is 18

Q: Sarah entered her motorcycle in a slow race with 50 other contestants. She crossed the finish line…

A: It is required to state the formula for the number of standard deviations that the result was above…

Q: A concierge is interested in how long it takes to bring passengers to the airport and then return to…

A: (a) First we calculate the mean; The table of calculations is provided below; No. x (x-x¯)2 1…

Q: State the formula for Variance.

A: Equation that defines the population variance σ2=∑(X-μ)2N Here, σ2 is variance, (X-μ) is distances…

Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 62.6 ,…

Q: In statistics and research, we commonly use the z-score, which is the most basic standard score. One…

A: Given that, In statistics and research, we commonly use the z-score, which is the most basic…

Q: Assume that an intelligence test scores are distributed normallt with a mean of 100 and a standard…

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: National park services, a bureau of the US government responsible for park management, is interested…

A: For current year: The mean can be obtained as: Thus, the mean is 74.56. Arranging the data set into…

Q: Erla rolls six sided dice 15 times. What is the standard deviation of the number of sixes that…

A: Let p be the probability of six  p=1/6, n=15 Let X be the number of sixes in rolling of dice  Then…

Q: A golf pro claims that his mean golf score is 63. A sportswriter wants to test the claim that his…

A: A golf pro claims that his mean golf score is 63. A sportswriter wants to test the claim that his…

Q: According to the U.S. Census, the average adult woman is the United States is 65 inches tall and the…

A: Given X is normal Distributed with mean µ = 65.0 and standard deviation σ = 3.0 Need to find Z score…

Q: The Wechsler IQ test is normally distributed with mean 100 points and standard deviation 15 points.…

A: Given that.   X~N( μ , ?)   μ=100 , ?=15  , x=86   Z-score =( x - μ )/?

Q: Ali scores 70 on Calculus-1 course with a class mean of 68 and a standard deviation of 2, and he…

A: Given: Calculus-1 course:   Introduction to Operating course:   Compare the standard scores of the…

Q: 60% of all the students passed an exam. If a random sample of 10 students is selected, What is the…

A: n=10, p=0.60

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

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Q: How does a nonzero constant number c change a standard deviation problem?

A: Standard deviation is independent of change of origin but it affects by the change of scale.