Example 2 - Part 1 The annual salary for a certain job has a normal distribution...
The annual salary for a certain job has a normal distribution with a mean of $54,00054,000 and a standard deviation of σ=$5000σ=$5000. The annual salary for a certain job has a normal distribution with a mean of $54,000 and a standard deviation of o = $5000 1. Which sample size would allow us to use the normal approximation?n= all can be used + (Click to view hint) 2. What is the probability that the mean salary of random sample of...
Example 2 - Part 2 3. The annual salary for a certain job has a normal distribution with a mean of $54,000 and a standard deviation of o = $5000 What is the probability that the mean salary of random sample of 100 workers is more than $49,000? a. Which picture (below) shows the requested area? Curve 5 • * Curve Image Curve 1 -Jo -20 20 40 Curve 2 MacBook Air 80 FS F7 % # 3 $ 4...
Example 2 - Part 3 4. The annual salary for a certain job has a normal distribution with a mean of $54,000 and a standard deviation of a = $5000. What is the probability that the mean salary of a random selected sample has between $49,000 and $56, 150? a. Which picture (below) shows the requested area? Curve 3 Curve Image Curve 1 -40 -30 -10 To 2a Da 40 Curve 2 MacBook Air FT 80 F2 F4 F5 7...
b. P(49000<<44215) = P(-1<z<0.43) = (Click to view thint) chance that the mean salary of a random sample of 100 is between 349,000 and $56, 150 e. There is a Check Example 2 - Part 3 4. The annual salary for a certain job has a normal distribution with a mean of $54,000 and a standard deviation af o = $5000. What is the probability that the mean salary of a random selected sample has between $49,000 and $56,150 a....
The proportion of left-handed people in the general population is about 0.10.1. Suppose a random sample of 225225 people is observed. Curve 2 . -10 - Curve 3 - Curve 4 Curve 5 20 Find the probability using the normal table. (Opens in new window) P(P >0.13) = P(z > 1.5) = (Click to view hint) Check Your Turn np = 22.5 The proportion of left handed people in the general population is about 0.1. Suppose a random sample of...
4. Probability computations using the standard normal distribution Assume that x, the starting salary offer for education majors, is normally distributed with a mean of $46,292 and a standard deviation of $4,320 Use the following Distributions tool to help you answer the questions. (Note: To begin, click on the button in the lower left hand corner of the tool that displays the distribution and a single orange line.) Standard Normal Distribution Mean 0.0 Standard Deviation-1.0 -2 .3 The probability that...
The proportion of left-handed people in the general population is about 0.1. Suppose a random sample of 225 people is observed. The proportion of left-handed people in the general population is about 0.1. Suppose a random sample of 225 people is observed. Using our 'rule of thumb; can we use normal approximation values for this sampling distribution? Yes + np = 22.5 and ng= (Click to view hint) What is the mean of the sample proportion? др (Click to hide...
Probabilities: Sampling Means Now that we know when we can use the normal distribution, we can use the Empirical Rule and the Normal Table (opens in new window) to find the probabilities. Example 1 Recall our earlier scenario: The Federal Pell Grant Program provides need-based grants to low-income undergraduate and certain post-baccalaureate students to promote access to post-secondary education. According to the National Post-secondary Student Aid Study conducted by the U.S. Department of Education in 2008, the average Pell grant...
fouTube Maps Your Turn The proportion of left-handed people in the general population is about 0.1. Suppose a random sample of 225 people is observed Using our "rule of thumb." can we use normal approximation values for this sampling distribution? No • * * and nq = 98 * (Click to view hint) What is the mean of the sample proportion? * (Click to view hint) np = 7 My = 768 What is the standard error? = 76 *...
Selecting a random sample is an example of a statistical experiment, and the sample statistic p is a numerical description of the result of the experiment. Therefore, p is a random variable. The probability distribution of p is called the sampling distribution of p In practice, you select one random sample and use the information from that sample to estimate the population parameter of interest. However statisticians sometimes perform a procedure called repeated sampling, in which the experiment is run...