A sample of size n=20 is randomly selected from a normal population with mean μ = 90 and standard deviation σ = 5. Find the following:
a) P(̅X>95)
b) P(82<̅X<91) c) P(̅X<93)
d) P(̅X<89)
A sample of size n=20 is randomly selected from a normal population with mean μ =...
A random sample of size n = 64 is selected from a population with mean μ = 52 and standard deviation σ = 24. a. What will be the approximate shape of the sampling distribution of x? skewed symmetric normal b. What will be the mean and standard deviation of the sampling distribution of x? mean= standard deviation=
A population of values has a normal distribution with μ=180.1μ=180.1 and σ=93.4σ=93.4. You intend to draw a random sample of size n=90n=90. Find the probability that a single randomly selected value is greater than 185. P(X > 185) = Find the probability that a sample of size n=90n=90 is randomly selected with a mean greater than 185. P(¯xx¯ > 185) = A population of values has a normal distribution with μ=167.8μ=167.8 and σ=34.4σ=34.4. You intend to draw a random sample...
A random sample is selected from a normal population with a mean of μ = 20 and a standard deviation of σ = 10. After a treatment is administered to the individuals in the sample, the sample mean is found to be M = 25. If the sample consists of n = 4 scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with alpha = .05.
A random sample of n measurements was selected from a population with unknown mean μ and standard deviation σ = 35 for each of the situations in parts a through d. Calculate a 99% confidence interval for μ for each of these situations. a. n = 75, x = 20 Interval: ( _____, _____ ) b. n = 150, x = 104 Interval: ( _____, _____ ) c. n = 90, x = 16 Interval: ( _____, _____ ) d....
A sample of size 49 is randomly selected from a population with a mean, 25 and standard deviation, 14. Find P(X-bar > 26) a .8413 b .3085 c .1357 d .5279
4.18 A random sample of size 25 is selected from a population with mean μ = 85 and standard deviation σ-4. Approximate the following probabilities using the central limit theorem (a) PrX 86, 6451 (b) PrX < 84.340] (c) Pr(83.04 〈 X < 86.96]
A sample of size n=20 is drawn from an approximately normal population whose standard deviation is 15.5 The sample mean is 46.2. Construct a 95% confidence interval for μ.
A random sample is selected from a population with mean μ = 102 and standard deviation σ = 10. Determine the mean and standard deviation of the xbar sampling distribution for each of the following sample sizes. (Round the answers to three decimal places.) (a) n = 15 μ = σ = (b) n = 35 μ = σ = (c) n = 55 μ = σ = (d) n = 110 μ = σ = (e) n = 440...
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=176.9 and σ=81. You intend to draw a random sample of size n=181. Find the probability that a sample of size n=181 is randomly selected with a mean between 178.1 and 178.7. P(178.1 < M < 178.7) = 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. A leading magazine (like Barron's) reported at one time...