please circle your final answers for each of the following 1 a population of values has a normal

So for this problem, I'm going to help you with the first three. And so the first one, you have

We have lots of questions here to answer. So first of all, we have a normal distribution with a

So the mean is the same as the population mean. Standard error can be calculated as, which is 9

Hi, I'm David and I'm here to have you on seeing your question. Here we have totally four, three

Hey everyone in this question we have given the value of mu that is equal to the first question

Question

1.) A population of values has a normal distribution with μ=181.9 and σ=95.2. You intend to draw a random sample of size n=79. What is the mean of the distribution of sample means? μx= What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) σx= 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. 2.) A population of values has a normal distribution with μ=178.3 and σ=79.9. You intend to draw a random sample of size n=27. Find the probability that a single randomly selected value is less than 166. P(X < 166) = Find the probability that a sample of size n=27 is randomly selected with a mean less than 166. P(M < 166) = 3.) A population of values has a normal distribution with μ=172.1 and σ=41.8. You intend to draw a random sample of size n=195. Find P94, which is the score separating the bottom 94% scores from the top 6% scores. P94 (for single values) = Find P94, which is the mean separating the bottom 94% means from the top 6% means. P94 (for sample means) = 4.) A population of values has a normal distribution with μ=96.4 and σ=56.8. You intend to draw a random sample of size n=152. Find the probability that a sample of size n=152 is randomly selected with a mean greater than 82.6. P(M > 82.6) = 5.) A population of values has a normal distribution with μ=7.7 and σ=24.5. You intend to draw a random sample of size n=122. Find the probability that a sample of size n=122 is randomly selected with a mean between 1 and 11.2. P(1 < M < 11.2) = 6.) A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 207.1-cm and a standard deviation of 2.1-cm. For shipment, 29 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is less than 207.8-cm. P(M < 207.8-cm) =

          1.) A population of values has a normal distribution with μ=181.9 and σ=95.2. You intend to draw a random sample of size n=79.
What is the mean of the distribution of sample means? 
μx= 
What is the standard deviation of the distribution of sample means? 
(Report answer accurate to 2 decimal places.) 
σx= 
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.
2.) A population of values has a normal distribution with μ=178.3 and σ=79.9. You intend to draw a random sample of size n=27.
Find the probability that a single randomly selected value is less than 166. 
P(X < 166) = 
Find the probability that a sample of size n=27 is randomly selected with a mean less than 166. 
P(M < 166) = 
3.) A population of values has a normal distribution with μ=172.1 and σ=41.8. You intend to draw a random sample of size n=195.
Find P94, which is the score separating the bottom 94% scores from the top 6% scores. 
P94 (for single values) = 
Find P94, which is the mean separating the bottom 94% means from the top 6% means. 
P94 (for sample means) = 
4.) A population of values has a normal distribution with μ=96.4 and σ=56.8. You intend to draw a random sample of size n=152.
Find the probability that a sample of size n=152 is randomly selected with a mean greater than 82.6. 
P(M > 82.6) = 
5.) A population of values has a normal distribution with μ=7.7 and σ=24.5. You intend to draw a random sample of size n=122.
Find the probability that a sample of size n=122 is randomly selected with a mean between 1 and 11.2. 
P(1 < M < 11.2) = 
6.) A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 207.1-cm and a standard deviation of 2.1-cm. For shipment, 29 steel rods are bundled together.
Find the probability that the average length of a randomly selected bundle of steel rods is less than 207.8-cm. 
P(M < 207.8-cm) =

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