Sample size n=25, a normal distribution with a mean of u=100. Standard divination=25   find the range of sample means what defines the middle 95% of the distribution of sample means   and find the range of sample means that defines the middle 99% of the distribution of sample means

Q: A population has a mean u = 141 and a standard deviation o = 28. Find the mean and standard…

A: GivenMean(μ)=141standard deviation(σ)=28sample size(n)=56

Q: he test scores for the analytical writing section of a particular standardized test can be…

A: Z= x-μσ~N(0,1)

Q: Use the Empirical Rule. (Do not use technology. Technology will give a slightly different answer.)…

A: Mean = 9.5 std dev = 1.1

Q: A population has a mean = 151 and a standard deviation a = 24. Find the mean and standard deviation…

A: Given information- Population mean μ=151Population standard deviation σ=24Sample size n=60 We have…

Q: Probability that a randomly chosen penny weighs less than 2.4 grams?  mean is 2.5 grams  standard…

A:

Q: IQ scores are standardized to produce a normal distribution with a mean of µ = 100 and a standard…

A: Solution: Let X be the IQ score. From the given information, X follows normal distribution with mean…

Q: IQ scores form a normal distribution with a mean of μ =109 and a standard deviation of   σ = 14.…

A: Given  mean of μ =109  standard deviation of   σ = 14 Sample size of n = 25 Z = (x  - mu)/σ/√n

Q: Use the Empirical Rule. (Do not use technology. Technology will give a slightly different answer.)…

A:

Q: Use the Empirical Rule. (Do not use technology. Technology will give a slightly different answer.)…

A: as per our guidelines, we are supposed to answer only 3 sub-parts

Q: A population has a mean u= 166 and a standard deviation o = 23. Find the mean and standard deviation…

A: question:

Q: A population of values has a normal distribution with μ=135.9 and σ=18.1. You intend to draw a…

A: Given data  Mean μ=135.9Standard deviation σ=18.1Size (n) = 96a)score separating the bottom 61%…

Q: division-wide aptitude test in mathematics was conducted to 1000 pupils. The mean of the test is 58…

A:

Q: division-wide aptitude test in mathematics was conducted to 1000 pupils. The mean of the test is 58…

A: Given that  X~N( μ = 58 , ? = 12 ) μ = 58 , ? = 12 Z-score =( x - μ )/?

Q: Assuming normal distribution, a 95% confidence interval for the population mean when n=25 a sample…

A: Confidence interval is an interval such that the probability of the unknown parameter to be included…

Q: Given a normal distribution with mean 100 and standard deviation​ 10, find the number of standard…

A:

Q: The sample mean is x =3.75 grams. Let x be a random variable representing weights of hummingbirds in…

A: The sample mean is x =3.75 grams. Let x be a random variable representing weights of hummingbirds in…

Q: A population has a mean μ =79 and a standard deviation σ =99. Find the mean and standard deviation…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: A normal  distribution  has mean 56.4 and standard deviation  3.74. Find the data value…

A: Standardized z-score: The standardized z-score represents the number of standard deviations the data…

Q: A population has a mean u = 78 and a standard deviation o = 24. Find the mean and standard deviation…

A: Given Data: Population mean (μ)=78 Population Standard deviation (σ)=24 Sample size (n)=239   a)…

Q: Draw a sketch of the normal distribution and label the mean and 1, 2, and 3 standard devitons above…

A: Given that mean = 9.5and SD = 1.1 kg

Q: Karen’s first psychology exam score is ‑1 (negative one) standard deviation from the mean in a…

A: It is given that, the z-score for Karen’s first psychology exam is -1.

Q: A population of values has a normal distribution with u = 156.4 and o = 96.5. You intend to draw a…

A: X follows a Normal distribution with mean = 156.4 and S.D = 96.5 x̅ follows a Normal…

Q: X follows a Uniform Distribution from 2 to 5. What can be said of the median? Group of answer…

A: Given: X follows a Uniform Distribution from 2 to 5

Q: students take a college entrance exam. The scores on the exam have an approximately normal…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Scores on the SAT form a normal distribution with a mean score of 500 and a standard deviation of…

A: a) The mean is 500 and the standard deviation is 100.

Q: A certain population follows a normal distribution with mean µ and standard deviation 0.68 you…

A: Given information: Null Hypothesis: H0: µ=100 Alternative Hypothesis: H1: µ>100 Here, the…

Q: A population of values has a normal distribution with μ=98.2 and σ=61.6. You intend to draw a random…

A: The normal distribution is the most useful theoretical distribution for continuous variables.  For…

Q: A large group of students took a statistics test.   The mean score, from the scale of 100, was  74.5…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: Find ACT quintiles. ACT scores are reported on a scale from 1 to 36.  The distribution of ACT scores…

A: Let X be the ACT scores reported on a scale from 1 to 36 Given that X follows normal distribution…

Q: A large group of students took a statistics test.               The mean score, from the scale of…

A:

Q: A normal population has mean u = 55 and standard deviation o = 9. What is the 84th percentile of the…

A: Given that mean u = 55 and standard deviation o = 9.

Q: A normal distribution has mean 58.4 and standard deviation 4.45. Find the data value corresponding…

A: Mean = 58.4 Standard deviation = 4.45 Z score = -3.82

Q: Use the Empirical Rule. (Do not use technology. Technology will give a slightly different answer.)…

A: Empirical rule for normal distribution

Q: The numerical measure that describes the certain characteristics of a population is called A. sample…

A:

Q: 7. Find the area of the shaded region. The graph depicts the standard normal distribution of bone…

A:

Q: Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0…

A:

Q: The population mean ACT composite score in 2015 was 20.8 points, with population standard deviation…

A:

Q: A population of values has a normal distribution with μ=128 and σ=32.4 You intend to draw a random…

A: Here, μ=128, σ=32.4, and n=120.

Q: 20. Sampling distribution. From 1975 through 2016, the mean gain of the Down jones industrial…

A:

Q: A normal distribution has mean 63.2 and standard deviation 2.57. Find the data value corresponding…

A:

Q: Use the Empirical Rule. (Do not use technology. Technology will give a slightly different answer.)…

A: It is given that:

Q: Describe the cases in which the different terms are used. Choose the correct answer below. OA. "The…

A: given

Q: division-wide aptitude test in mathematics was conducted to 1000 pupils. The mean of the test is 58…

A:

Q: A population of values has a normal distribution with μ=89.6 and σ=35.2. You intend to draw a random…

A: Given data, Mean  μ=89.6  sd      σ=35.2 n=32 Find P95, which is the mean separating the bottom 95%…

Q: A population has a mean u=79 and a standard deviation o = 12. Find the mean and standard deviation…

A: Given,sample size(n)=36mean(μ)=79standard deviation(σ)=12

Q: A normal  distribution has  56.4 and standard  deviation  3.74. Find the data value  corresponding…

A:

Q: You wish to estimate the average amount of money spent on holiday gift giving. You sample 50 people…

A:

Q: population has a mean μ=142 and a standard deviation σ=30. Find the mean and standard deviation of…

A:

Q: 38. Pregnancy Lengths. Lengths of pregnancies are normally distributed with a mean of 268 days and a…

A:

Q: Final exam scores have approximately a normal distribution with mean 78 and standard deviation 9.5.…

A: Let X denote the Final exam scores  and its approximately follows normal distribution with mean 78…

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.