A6. a normal distribution has a mean of 65 and an SD of 20. For each of the following samples,compute the z score for the sample mean and determine whether the mean is typical or extreme.(calculate a Z STATISTIC)a. M=74 for a sample of 4 scoresB. M = 74 for a sample of 25 scores7. What does the central limit theorem state?8. At what N does a sample start to resemble a population?9. How does sample size affect standard error?FaceTime112MacBook AirFEB27

Given that X~N( μ , ?) μ=65 , ?=20 Z-score =( M - μ )/(?/√n) NOTE:- According to bartleby…

Answered: 6. a normal distribution has a mean of…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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38)
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6. A distribution with a µ = 55 and o = 6 is standardized so that the new mean and standard deviation will be u = 50 and o = 10. When the new distribution is standardized, what value will be obtained for a score of x = 52 from the original distribution? a. X= 45 b. X = 47 C. X= 52 d. X = 53
13.Heart rates are determined before and 30 minutes after a Kettleball workout. It can be assumed that heart rates (bpm) are normally distributed. Use the data provided below to test to determine if average heart rates prior to the workout are significantly lower than 30 minutes after a Kettleball workout at the 0.02 level of significance. Let μ1μ1 = mean before workout. before 75 71 65 69 63 70 72 80 after 82 78 65 71 68 71 76 88 Construct the appropriate confidence interval for the given level of significance. ( , ) [three decimal accuracy] [three decimal accuracy]
Q1. Given a normal distribution with mean = 100 and standard deviation = 10. What is theprobability that a sample of 25 (n) has a mean (X) that is:a. less than 95?b. between 95 and 97.5?c. above 102.2?d. There is a 65% chance that X is above what value?
Ex. 4. The mean and standard deviation of the marks obtained by 1000 students in an examination are respectively 34.5 and 16.5. Assuming the normality of the distribution, find the approxiamte number of students expected to obtain marks between 30 and 60.
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3.1. Suppose that the height of the women is a normal variable with a mean of 1.62 meters (m) and a standard deviation of 24 centimeters. Calculate the percentage of women who measures (a) more than 1.70 m. (b) between 1.66 and 1.58 m. (c) less than 1.50 m. d) between 1.60 and 1.63 m.
4. The grades in an exam have a normal distribution with u=75 averages and o=8 standard deviation. The teacher gives AA to those who score 90 and above. Since 12 students got AA, what is the approximate number of students taking the exam?
12. A population forms a normal distribution with a mean of u = 55 and a standard deviation of o = 12. For each of the following samples, compute the z-score for the sample mean. a. M = 58 for n = 4 scores %3D b. M 58 for n = 16 scores c. M = 58 for n = 36 scores
A distribution of values is normal with a mean of 220 and a standard deviation of 8.Find the interval containing the middle-most 40% of scores: Incorrect Enter your answer using interval notation. Example: [2.1,5.6) Your numbers should be accurate to 1 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

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6. a normal distribution has a mean of 65 and an SD of 20. For each of th compute the z score for the sample mean and determine whether the mea (calculate a Z STATISTIC) a. M=74 for a sample of 4 scores B. M=74 for a sample of 25 scores 7. What does the central limit theorem state?