A sample of n=16 scores is selected froma normal population with μ=56 and σ=20. What is the probability that the sample mean will be within 5 points of the population mean? That is, what is p(51< X <61)?

Q: Find P25, which is the score separating the bottom 25% scores from the top 75% scores. P25 (for…

A: The P25  can be calculated as: Thus, P25 (for single values) = 146.92

Q: A random sample of n = 9 is obtained from a normal distribution with µ= 40 and σ= 15.  What is the…

A:

Q: A population was found to have a mean of µ =75 and standard deviation of σ =2.3. If you took every…

A: Given information- Population mean µ = 75 Population standard deviation, σ = 2.3 Sample size, n = 10

Q: A random sample of n = 18 is selected from a normal distribution with µ = 80 and σ=12. What is the…

A: From the provided information, Sample size (n) = 18 Mean (µ) = 80 Standard deviation (σ) = 12 Let X…

Q: A sample of n=25 scores has a mean of 68. Find the z-score for this sample. If it was obtained from…

A:

Q: For a normal population with µ = 100 and σ = 9, what is the probability of obtaining a sample mean…

A: According to the given information, we have Mean = 100 Standard deviation = 9 Sample size = 25

Q: A population of values has a normal distribution with μ=248.6�=248.6 and σ=97.6�=97.6. You intend to…

A: μ=248.6σ=97.6n=246

Q: What is the z-score if µ = 79, σ = 8, and x = 85? -0.61 0.75 -1.31 1.87

A:

Q: Assume the random variable X is normally​ distributed, with mean μ=59 and standard deviation σ=9.…

A: Solution: From the given information, X follows normal distribution with mean µ=59 and a standard…

Q: A researcher tries to estimate the population mean by using sufficiently large sample. The…

A: The probability is 0.99.

Q: Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic…

A: a)

Q: A sample of n = 10 scores has a mean of M = 3. What is ΣX for this sample?

A: Solution: From the given information, M=3 and n=10.

Q: Scores on a standardized mathematics test for 8th grade children in New York State form a normal…

A: From the given information 8th grade children in new York state form a normal distribution with mean…

Q: A random sample of n = 9 is obtained from a normal distribution with μ= 40 and σ=15. What is the…

A:

Q: What is the ∑X for this sample

A: A sample of size is denoted by n. mean is nothing but the average of given sample observations. Here…

Q: Suppose that you have a sample of 100 values from a population with mean µ = 500 and with standard…

A: We have, Sample mean (μ)=500Sample standard deviation (σ)=80Number of observations (n)=100

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

A:

Q: normal distribution has a mean of u= 28 and o= 4. If one score is randomly selected from the…

A: Given that  A normal distribution has a mean of u= 28 and o= 4.  By using standard normal…

Q: 32 individuals from a population and the mean of the population is 120 and the standard deviation of…

A: From the central limit theorem the sample mean blood glucose level will follow normal distribution…

Q: Random samples are obtained from two normal populations with equal variance of a? = 18. If the…

A: Random sample are obtained from two normal populations with equal variance σ2=18 Sample sizes:…

Q: Assume the random variable X is normally distributed, with mean p= 44 and standard deviation o = 9.…

A: It is given that mean is 44 and standard deviation is 9.

Q: A sumple from a normal population with mu = 50 and sigma = 6 of M=48.20, . the sample…

A: Given Information: Population mean μ=50 Population standard deviation σ=6 Sample mean (M) = 48.20…

Q: A sample of n=4 scores has ΣX=8 and ΣX2=40. What is the value of the sample variance, s2?​

A: Given,Sample size, n = 4ΣX = 8 and ΣX2 = 40Using formula,

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 of u=30 and a standard deviation of o=8. If a population distribution is…

A:

Q: A random sample of n= 4 is obtained from a normal distribution μ=30, σ=8. What is the probability…

A: From the given information,   n=4 µ=30 σ=8

Q: a normal distribution has a mean of u=60 with o=15.  if one score is randomly selected from the…

A: let "x" be the score.

Q: The grade point average for ALL juniors at a large college has a standard deviation of 0.50.  A…

A:

Q: - What percentage of guesses fell between z-scores of -1.0 to +2.0?

A:

Q: A normal population has mean μ = 20 and standard deviation σ = 4. What proportion of the population…

A: From the provided information, Mean (µ) = 20 Standard deviation (σ) = 4 X~N (20, 4)

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.