Find the mean and standard deviation of the distribution

Assignment Help Applied Statistics

Reference no: EM132329418

Statistics

Sampling Distribution of the Sample Mean Assignment

1. Heights of men in a certain population are normally distributed with mean μ = 70 inches and standard deviation σ = 3.0 inches.

(a) Random samples of size n= 9 are selected from this population. Find the mean and standard deviation of the distribution of sample means, and sketch the sampling distribution, go out 3 std dev.

μ_x¯	σ_x¯	Sketch of Sampling Distribution

(b) Random samples of size n = 25 are selected from this population. Find the mean and standard deviation of the distribution of sample means, and sketch the sampling distribution, go out 3 std dev

μ_x¯	σ_x¯	Sketch of Sampling Distribution

For the next 3 questions, write out what you are putting in the calculator.

(c) Find the probability that a randomly selected individual from this population is at least 72 inches tall.
P(x ≥ 72) =

(d) Find the probability that, for a sample of n = 9 males from this population, the sample mean is at least 72 inches. P(x¯ ≥ 72) = .

(e) Find the probability that, for a sample of n = 25 males from this population, the sample mean is at least 72 inches. P(x¯ ≥ 72) =

2. A machine that dispenses coffee is regulated so that the amount of coffee dispensed has a mean μ = 8 ounces and standard deviation σ= .20 ounces.

(a) Random samples of n = 100 cups of coffee dispensed by the machine are selected. Find the mean and standard deviation of the distribution of sample means, and sketch this distribution, show 3 std dev.

μ_x¯	σ_x¯	Sketch of Sampling Distribution

(b) In a particular sample of n = 100 cups of coffee dispensed by this machine, the sample mean amount of coffee is 7.9 ounces. Would this be considered unusual if the machine is set correctly? Explain.

(Either find P(x¯≤ 7.9) or standardize the sample mean of 7.9 ounces.)

Reference no: EM132329418

Questions Cloud

Reduce ethical issues between the departments : What internal conflicts and ethical issues may arise between the human resources department and the security department? What preventative measures

Charismatic or transformational : What are some unique characteristics of Gates's followers that might identify him as charismatic or transformational?

Importance of providing exemplary customer service : How does technology and social media increase the importance of providing exemplary customer service?

What is difference between tolerance and understanding : Analyze the dilemma of creating cohesive societies while preserving their distinct cultural identities. What is difference between tolerance and understanding?

Find the mean and standard deviation of the distribution : Find the mean and standard deviation of the distribution of sample means, and sketch the sampling distribution, go out 3 std dev.

Experience of military families when soldier is deployed : "What is experience of military families when their soldier is deployed?" "Is there a link between hours of television viewing and violent behavior in children

International relation and criminal justice : Criminal justice is justice given to a criminal or a lawbreaker when proven guilty by the court. When a criminal is judged guilty, some punishment is surpassed

Discuss the pros and cons of various lighting systems : In determining specific facility and roadway security and safety measures, discuss the pros and cons of various lighting systems.

Overarching cyber security and critical infrastructure plan : How does the federal government address incidents of cyber crime and cyber terrorism within an overarching cyber security and critical infrastructure plan?

User Account

All Pages