Question

The average teacher salary in Nebraska is $52,925 with a standard deviation of $12,115.  We collect a...

The average teacher salary in Nebraska is $52,925 with a standard deviation of $12,115.  We collect a random sample of 50 Nebraska teachers and record their salary.

Part 1: (6 pts)

Check all necessary conditions in detail (not just yes or no) and give the sampling model and parameters to the nearest dollar.

Part 2: (6 pts)

What is the probability that the average teacher salary in our sample of 50 teachers is less than $50,000? Find the z-score and probability. Be sure you use the appropriate p-value notation! Then write a sentence that summarizes your results.

Homework Answers

Answer #1

Part 1.

Note that n=50>30. So, we can use central limit theorem.

Part 2.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The average teacher salary in Nebraska is $52,925 with a standard deviation of $12,115. We collect...
The average teacher salary in Nebraska is $52,925 with a standard deviation of $12,115. We collect a random sample of 50 Nebraska teachers and record their salary. Part 1: (6 pts) Check all necessary conditions in detail (not just yes or no) and give the sampling model and parameters to the nearest dollar. Part 2: (6 pts) What is the probability that the average teacher salary in our sample of 50 teachers is less than $50,000? Find the z-score and...
In Colorado, the average ACT score is 20.1 with a standard deviation of 1.3. We collect...
In Colorado, the average ACT score is 20.1 with a standard deviation of 1.3. We collect a random sample of 35 students who took the exam last year. Part 1: (6 pts) Check the all necessary conditions in detail (not just yes or no) (1 pt each) and give the sampling model and parameters to 2 decimal places (2 pts). Part 2: (8 pts) What is the probability that the average composite ACT score is 19.5 or less? Show your...
In Colorado, the average ACT score is 20.1 with a standard deviation of 1.3. We collect...
In Colorado, the average ACT score is 20.1 with a standard deviation of 1.3. We collect a random sample of 35 students who took the exam last year. Part 1: (6 pts) Check the all necessary conditions in detail (not just yes or no) (1 pt each) and give the sampling model and parameters to 2 decimal places (2 pts). Part 2: (8 pts) What is the probability that the average composite ACT score is 19.5 or less? Show your...
The average teacher’s salary is $45,000. Assume a normal distribution with standard deviation equal to $10,000....
The average teacher’s salary is $45,000. Assume a normal distribution with standard deviation equal to $10,000. a) What is the probability that a randomly selected teacher makes greater than $65,000 a year? b) If we sample 100 teachers’ salaries, what is the probability that the sample mean will be greater than $65,000?
[5]       3.   The average teacher’s salary is $45,000. Assume a normal distribution with standard                   deviation...
[5]       3.   The average teacher’s salary is $45,000. Assume a normal distribution with standard                   deviation equal to $10,000. What is the probability that a randomly selected teacher makes greater than $65,000 a year? If we sample 100 teachers’ salaries, what is the probability that the sample mean will be greater than $65,000?
To estimate a student’s average score, we need to collect a sample. Assume population standard deviation...
To estimate a student’s average score, we need to collect a sample. Assume population standard deviation is equal to 3, If we want to control the error within 0.2 with 98% confidence level, how large the sample size need to be?
The average score for games played in the NFL is 21.5 and the standard deviation is...
The average score for games played in the NFL is 21.5 and the standard deviation is 9.3 points. 46 games are randomly selected. Round all answers to 4 decimal places where possible and assume a normal distribution. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) What is the distribution of ∑x∑x? ∑x∑x ~ N(,) P(¯xx¯ > 20.9432) = Find the 74th percentile for the mean score for this sample size. P(21.9432 < ¯xx¯ < 23.3856) = Q1 for the...
1. Customers at the local Subway store order an ice tea with their meal 70% of...
1. Customers at the local Subway store order an ice tea with their meal 70% of the time. Use the Binomial distribution to find the answer to the following. Find the probability that among the next 8 customers, at least 3 will order ice tea with their meal:  (to three places after the decimal) Of the next 8 customers, how many do you expect to order ice tea with their meal?  (to one place after the decimal) 2. The average score of...
A random sample is selected from a population with mean μ = 100 and standard deviation...
A random sample is selected from a population with mean μ = 100 and standard deviation σ = 10. Determine the mean and standard deviation of the x sampling distribution for each of the following sample sizes. (Round the answers to three decimal places.) (a) n = 8 μ = σ = (b) n = 14 μ = σ = (c) n = 34 μ = σ = (d) n = 55 μ = σ = (f) n = 110...
HW9-Practice: Problem 3 Problem Value: 1 point(s). Problem Score: 50%. Attempts Remaining: Unlimited. (1 point) Fueleconomy.gov,...
HW9-Practice: Problem 3 Problem Value: 1 point(s). Problem Score: 50%. Attempts Remaining: Unlimited. (1 point) Fueleconomy.gov, the official US government source for fuel economy information, allows users to share gas mileage information on their vehicles. The histogram below shows the distribution of gas mileage in miles per gallon (MPG) from 14 users who drive a 2012 Toyota Prius. The sample mean is 53.3 MPG and the standard deviation is 5.2 MPG. Note that these data are user estimates and since...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT