1. A normal distribution has a mean of μ = 60 and a standard deviation of σ = 12. For each of the following samples, compute the z-score for the sample mean and determine whether the sample mean is a typical, representative value or an extreme value for a sample of this size.
a. M = 53 for n = 4 scores
σ/ √n= 12/√4 =6
z=(53-60)/6 = -1.17
b. M = 53 for n = 9 scores
σ/ √n= 12/√9=4
z=(53-60)/4 = -1.75
Question) For each of the sample means in problem 1, use the z-score that you calculated to find the probability of obtaining a mean that is greater than the M given to you. Similarly, find the probability of obtaining a mean that is less than M.
Number one correct? And how do solve number 2?
1. A normal distribution has a mean of μ = 60 and a standard deviation of...
Please explain in steps, Thank
You!!
7. What z-score value separates the highest 10% of the scores in a normal distribution from the lowest 90%? 8. Scores on the SAT form a normal distribution with a mean of μ-550 with σ 100. If the state college only accepts students who score in the top 65% on the SAT, what is the minimum score needed to be accepted? What does that z-score become if they change their criteria so that only...
11. A distribution of exam scores has a mean of μ = 78. a.If your score is X = 70, which standard deviation would give you a better grade: σ = 4 or σ = 8? Answer: ________________ b.If your score is X = 80, which standard deviation would give you a better grade: σ = 4 or σ = 8? Answer: ___________________ 12. For each of the following, identify the exam score that should lead to the better grade....
1. For a population with a mean of μ = 70 and a standard deviation of σ = 20, how much error would you expect between a typical sample mean (M) and the population mean for each of the following sample size? a. n=4 scores b. n=16 scores
1.Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 101; σ = 16 P(x ≥ 120) = 2.Suppose X ~ N(5, 9). What is the z-score of x = 5? (Enter an exact number as an integer, fraction, or decimal.) z =
Attention: Due to a bug in Google Chrome, this page may not function correctly. Click here to learn more. Aa Aa 7. Gravetter/Wallnau/Forzano, Essentials - Chapter 7End-of-chapter question 21 A normal distribution has a mean of μ-60 and a standard deviation of σ = 12. For each of the following samples, compute the z-score for the sample mean, and determine whether the sample mean is a typical, representative value or an extreme value for a sample of this size. M...
A population of values has a normal distribution with μ = 221.5 and σ = 27.5 . You intend to draw a random sample of size n = 160 . Find the probability that a single randomly selected value is less than 223? P(X < 223) = Find the probability that a sample of size n=160n=160 is randomly selected with a mean less than 223. P(M < 223 Enter your answers as numbers accurate to 4 decimal places. Answers obtained...
A population of values has a normal distribution with μ = 179.7 μ = 179.7 and σ = 27.8 σ = 27.8 . You intend to draw a random sample of size n = 12 n = 12 . Find the probability that a single randomly selected value is less than 161.2. P(X < 161.2) = Find the probability that a sample of size n = 12 n = 12 is randomly selected with a mean less than 161.2. P(M...
A population of values has a normal distribution with μ=90.9 μ=90.9 and σ=46.3 σ=46.3 . You intend to draw a random sample of size n=69 n=69 . Find the probability that a single randomly selected value is between 78.6 and 89.8. P(78.6 < X < 89.8) = Find the probability that a sample of size n=69 n=69 is randomly selected with a mean between 78.6 and 89.8. P(78.6 < M < 89.8) = Enter your answers as numbers accurate to...
1. A) A population of values has a normal distribution with μ=8.2μ=8.2 and σ=55.6σ=55.6. You intend to draw a random sample of size n=249n=249. Find the probability that a sample of size n=249n=249 is randomly selected with a mean less than 16.3. P(M < 16.3) = ? Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. B) A population of values has a normal distribution...
A population forms a normal distribution with a mean of µ = 120 and a standard deviation of σ = 14. If two scores were selected from this population, how much distance would you expect, on average, between the second score and the population mean? A sample of n = 20 scores from this population has a mean of M = 90, do you think this sample is relative typical or extreme to the population? Explain. With a large standard...