Solution:-
Given that,
mean = = 69.6
standard deviation = = 29.8
Using standard normal table
A ) P(Z < z) = 61%
= P(Z < z) = 0.61
= P(Z < 0.279 ) = 0.61
z = 0.28
Using z-score formula,
X = z * +
X= 0.28 * 29.8 + 69.6
X =77.94
B ) n =50
= 69.6
= / n = 29.8 50 = 4.2143
P( Z > z) = 39%
P(Z > z) = 0.39
1 - P( Z < z) = 0.39
P(Z < z) = 1 - 0.39
P(Z < z) = 0.61
z = 0.28
Using z-score formula,
= z * +
= 0.28 * 4.2143 + 69.6
= 70.78
A population of values has a normal distribution with u = 69.6 and 0 = 29.8....
A population of values has a normal distribution with u = 44.6 and 0 = 51.1. You intend to draw a random sample of size n = 230. Find P93, which is the score separating the bottom 93% scores from the top 7% scores. P 93 (for single values) = Find P93, which is the mean separating the bottom 93% means from the top 7% means. P93 (for sample means) = Enter your answers as numbers accurate to 1 decimal...
A population of values has a normal distribution with ?=147.3 and ?=75.7. You intend to draw a random sample of size n= 222. Find P38, which is the score separating the bottom 38% scores from the top 62% scores. P38 (for single values) = For the sample of 222, find P38, which is the mean separating the bottom 38% means from the top 62% means. P38 (for sample means) = Enter your answers as numbers to 1 decimal place.
A population of values has a normal distribution with μ=96.4 and σ=4.4. You intend to draw a random sample of size n=140. Please answer the following questions, and show your answers to 1 decimal place. Find the value separating the bottom 12% values from the top 88% values. Find the sample mean separating the bottom 12% sample means from the top 88% sample means.
A population of values has a normal distribution with μ You intend to draw a random sample of size n 168 197.8 and σ 82.6. Find P39, which is the mean separating the bottom 39% means from the top 61% means. P39 (for sample means)-( 174.7 Enter your answers as numbers accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. License Points possible: 1 Unlimited attempts. Score on last attempt:...
A population of values has a normal distribution with μ=81μ=81 and σ=39σ=39. You intend to draw a random sample of size n=176n=176. State answers to one decimal places. Find P92, which is the score separating the bottom 92% scores from the top 8% scores. P92 (for single values) = Find P92, which is the mean separating the bottom 92% means from the top 8% means. P92 (for sample means) =
A population of values has a normal distribution with μ = 135.1 and σ = 20.9 . You intend to draw a random sample of size n = 170 . Find P8, which is the mean separating the bottom 8% means from the top 92% means.
A population of values has a normal distribution with μ=170.7μ=170.7 and σ=70σ=70. You intend to draw a random sample of size n=212n=212. Find P79, which is the score separating the bottom 79% scores from the top 21% scores. P79 (for single values) = Find P79, which is the mean separating the bottom 79% means from the top 21% means. P79 (for sample means) =
A population of values has a normal distribution with μ=65.1μ=65.1 and σ=4.8σ=4.8. You intend to draw a random sample of size n=49n=49. Find P76, which is the mean separating the bottom 76% means from the top 24% means. P76 (for sample means) =
A population of values has a normal distribution with μ=55.8μ=55.8 and σ=54.1σ=54.1. You intend to draw a random sample of size n=164n=164. Find P46, which is the mean separating the bottom 46% means from the top 54% means. P46 (for sample means) =
A population of values has a normal distribution with μ=20.7μ=20.7 and σ=16.8σ=16.8. You intend to draw a random sample of size n=169n=169. Find P5, which is the mean separating the bottom 5% means from the top 95% means. P5 (for sample means) =