dPrint Hide email 1) The incomes in a certain large population of high school teachers has...
4. (6 points) The incomes in a certain large population of college teachers are distributed with a mean of $65,000 and a standard deviation of $12,000. Thirty-six teachers are selected at random from this population to serve on a committee a) Determine the sampling distribution of the mean income for samples of size 36. b) What is the probability that the selected teachers' average salary is less than $60,000?
According to the central limit theorem, for samples of size 64 drawn from a population with μ = 800 and σ = 56, the standard deviation of the sampling distribution of sample means would equal 7 8 100 800 80
1) A population of values has a distribution with μ=6μ=6 and σ=23.1σ=23.1. You intend to draw a random sample of size n=90n=90. According to the Central Limit Theorem: (a) What is the mean of the distribution of sample means? μ¯x=μx¯= (b) What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) σ¯x=σx¯= (c) In a random sample of n=90, what is the probability that its sample mean is more than 4.2? Round...
Data on salaries in the public school system are published annually by a teachers' association. The mean annual salary of public) classroom teachers is 557.7 thousand. Assume a standard deviation of $8.4 thousand. Complete parts (a) through (e) below a. Determine the sampling distribution of the sample mean for samples of size 64. The mean of the sample mean is Hy = $(Type an integer or a decimal. Do not round.) The standard deviation of the sample mean is =$(Type...
Which of the following conditions implies that the Central Limit Theorem can be applied? A. The population is approximately normally distributed B. The sample is approximately normally distributed C. σ is not known D. μ is not known E. μ is known Which of the following conditions implies that the Central Limit Theorem can be applied? A. The sample is approximately normally distributed B. The sample size is at least 30 C. μ is not known D. σ is not...
The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean μ=553.3 and standard deviation σ=28.6.Round z-scores to 2 decimal places and give probabilities to 4 decimal places. (a) What is the probability that a single student randomly chosen from all those taking the test scores 558 or higher? ANSWER: For parts (b) through (d), consider a simple random sample (SRS) of 30 students who took the test. (b) What...
A population of values has a normal distribution with μ=121.3μ=121.3 and σ=57.2σ=57.2. You intend to draw a random sample of size n=27n=27. What is the mean of the distribution of sample means? μ¯x=μx¯= What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) σ¯x=σx¯= ule 7 The Central Limit Theorem Due in 6 hours, 52 A population of values has a normal distribution with y = 121.3 ando = 57.2. You intend...
The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean μ=556.6 and standard deviation σ=27.7.(a) What is the probability that a single student randomly chosen from all those taking the test scores 562 or higher?For parts (b) through (d), consider a simple random sample (SRS) of 35 students who took the test.(b) What are the mean and standard deviation of the sample mean score x̅x̅, of 35 students?The mean...
The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean μ=557.1 and standard deviation σ=29. (a) What is the probability that a single student randomly chosen from all those taking the test scores 562 or higher? For parts (b) through (d), consider a simple random sample (SRS) of 35 students who took the test. (b) What are the mean and standard deviation of the sample mean score x¯, of...
A study investigating the relationship between age and annual medical expenses randomly samples 100 individuals in a city. It is hoped that the sample will have a similar mean age as the entire population. Complete parts a and b below. a. If the standard deviation of the ages of all individuals in the city is σ=15, find the probability that the mean age of the individuals sampled is within two years of the mean age for all individuals in the...