E for sigma
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26 40 21 17 48 31 37 22
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1. A student was asked to compute the mean and standard deviation for the following sample of n= 5 scores: 81, 87, 89, 86, and 87. To simplify the arithmetic, the student first subtracted 80 points from each score to obtain a new sample consisting of 1,7,9,6, and 7. The mean and standard deviation for the new sample are then calculated to be M=6 and s = 3. What are the values of the mean and standard deviation for the...
A sample of n = 5 scores has a mean of M = 12. What is SX for this sample? A. 12/5 =2.40 B. 5/12=0.417 C. 5(12)=60 D. Cannot be determined with info given. A population has a mean of m = 30. If 3 points are added to each scores, what is the mean for the new distribution? A. 27 B. 30 C. 33 A sample of n = 8 has a mean of M = 10. After one...
1. Select all true statements about sample mean and sample median. A) When the population distribution is skewed, sample mean is biased but sample median is an unbiased estimator of population mean. B) When the population distribution is symmetric, both mean and sample median are unbiased estimators of population mean. C) Sampling distribution of sample mean has a smaller standard error than sample median when population distribution is normal. D) Both mean and median are unbiased estimators of population mean...
The following set of data is from a sample of n=6. 8 2 7 8 10 11 a. Compute the mean, median, and mode. b. Compute the range, variance, standard deviation, and coefficient of variation. c. Compute the Z scores. Are there any outliers? d. Describe the shape of the data set.
The following is a set of data from a sample of size n( n=7): 16 , 7 , 2, 2 , 10, 11, -6. 1) Find the mean of the data set A) 7 B) 7.28 C) 6 D) 2 2) Find the mode of the data set A) 6 B) 2 C) 7 D) 7.28 3) Find the standard deviation of the data set A) 53 B) 7.28 C) 6.74 D) 318 4) The five-number summary of the data...
We find a sample of people and we weigh each person. The distribution of their weights is positively skewed with a mean of 157 and a standard deviation of 47. If this distribution is transformed into z-scores, what will be the resulting shape, mean, and standard deviation of the new distribution? For a population with µ = 75 and σ = 10 find the z-score corresponding to the following raw scores X = 70 X = 77 X = 75
Q1. A sample of n = 8 scores has a mean of M = 7. One score in the sample is changed from X = 20 to X = 4. What is the value for the new sample mean? Q2. A sample yielded the following scores: 2, 3, 4, 4, 5, 5, 5, 6, 6, 7 Assume that the scores are measurements of a discrete variable and find the median. Median = Assume that the scores are measurements of a...
A population data set is right-skewed and has a mean of 100 and a standard deviation of 5. Which of the following is true regarding the sampling distribution of the mean for a sample size of 1,000? Select one: It's standard deviation is 5. It's shape is right-skewed It's standard deviation is 0.158. It's mean is 10.
1. You are given the following sample of scores: 5, 6, 7, 8, 9, 9, 10, 10, 11, 25 (a) For the sample above, calculate (show all of your work): (i) the mean (ii) the median (iii) the mode (iv) the variance (v) the standard deviation (vi) What do the variance and standard deviation represent? (b) Which raw score in the above sample most closely corresponds to a z-score of –0.7? (c) If Dr. Jones states that the mean is...
Data Set: 32, 28, 24, 28, 28, 31, 35, 29, 26 a. Calculate the mean, median and mode b. Based on your answers from Part A, describe how the data is distributed (symmetrical, positively / negatively skewed) c. Calculate the range d. Calculate the variance and standard deviation using the definition formula e. Calculate the variance and standard deviation using the computation formula