IBecause of different sales ability, experience, and devotion, theincomes of real estate agents vary considerably. Suppose that in a largecity the annual income is normally distributed with a standard deviationof $15,000. A real estate industry expert claims that the mean annualincome of all real estate agents in the city is equal to $79,000. A sampleof 30 real estate agents showed that their mean annual income was$84,230. Test the manager's claim using a level of significance of 0.05.What your conclusion?(:W8ICStylesAcEME24°C Partly cloudy

test the expert's claim about the mean annual income of all real estate agents in the city, we can…

Answered: I Because of different sales ability,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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3. An extensive study of the cost of health care in the United States presented data showing that the mean spending per Medicare enrollee in 2003 was $6883 (Monday, Fall 2003). To investigate differences across the country, a researcher took a sample of 49 Medicare enrollees in Indianapoli with a mean spending of $5978.32 and a standard deviation is $2513.
If the weekly grocery expenditure of households in a certain urban market is known to be normally distributed with a mean of $150 and a standard deviation of $30, what proportion of the households spend between $110 and $160 per week on groceries?
Is it worth pursuing a doctoral degree in education if you already have an undergraduate degree? One way to help make this decision is to look at the mean incomes of these two groups. Suppose that 1212 people with bachelor’s degrees in education were surveyed. Their mean annual salary was $42,000$⁢42,000 with a standard deviation of $9800$⁢9800. Fifteen people with doctoral degrees in education were found to have a mean annual salary of $50,000$⁢50,000 with a standard deviation of $9200$⁢9200. Assume that the population variances are not the same. Construct a 90%90% confidence interval to estimate the true difference between the mean salaries for people with doctoral degrees and undergraduate degrees in education. Let Population 1 be the salaries for people with doctoral degrees and Population 2 be the salaries for people with undergraduate degrees. Round the endpoints of the interval to the nearest whole number, if necessary.
Suppose that the mean and standard deviation of the scores on a statistics exam are 81.7 and 6.75, respectively, and are approximately normally distributed. Calculate the proportion of scores between 76 and 81.
There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on a scalefrom 1 to 36. The distribution of ACT scores for more than 1 million students in a recent high school graduatingclass was roughly Normal with mean ?? = 20.8 and standard deviation ?? = 4.8. SAT scores are reported on ascale from 400 to 1600. The SAT scores for 1.4 million students in the same graduating class were roughlyNormal with mean ?? = 1026 and standard deviation ?? = 209.Sonya scores 1310 on the SAT. Jerome scores 29 on the ACT. Assuming that both tests measure the same thing,who has the higher score? Report the z-score for both student and make sure to mark these on an appropriatenormal curve.
Corinne is planning a beach vacation in July and is analyzing the daily average temperatures for her potential destination.Assume a beach is found with temperatures that are normally distributed. The median is 79º and standard deviation is 4º. Make a (boxplot or distribution) curve that approximately represents the daily average temperatures. Specify the range where 95% of the data fall
A study reported on essential organic molecules and a Normal model can be used to describe these levels in adults. If the mean is 194 mg/dL and a standard deviation is 28, complete the following questions. a) Draw and label the Normal model. b) What percent of adults do you expect to have this essential organic molecule, cholesterol, levels over 210 mg/dL? c) What percent of adults do you expect to have cholesterol levels between 150 and 170 mg/dL? d) Estimate the interquartile range of cholesterol levels. IQR=___________mg/dL e) Above what value are the highest 15% of adults' cholesterol levels? ___________mg/dL
2. The resting heart rates of a group of healthy adult men were found to have a mean of 73.4 beats per minute, with a standard deviation of 5.9 beats per minute. What percent of these men had a resting heart rate of a. greater than 80 beats per minute? b. between 78 and 89 beats per minute?
The average McDonald's restaurant generates $3.6 million in sales each year with a standard deviation of 0.9. Trent wants to know if the average sales generated by McDonald's restaurants in Kentucky is different than the worldwide average. He surveys 27 restaurants in Kentucky and finds the following data (in millions of dollars): 4.1, 2.8, 4.4, 4.5, 5.3, 5, 3.7, 2.9, 3.8, 4.8, 3.6, 2.3, 3.7, 2.9, 2.9, 4, 1.1, 5.2, 2.9, 5, 4, 4, 5.9, 3.2, 2.2, 4.3, 3.8 Perform a hypothesis test using a 3% level of significance. Step 1: State the null and alternative hypotheses. Ho: [? v] ? v На: ? ? v (So we will be performing a Select an answer test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are Select an answer v with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P( ? v ? v = P( ? ♥ ?…
The average McDonald's restaurant generates $2.4 million in sales each year with a standard deviation of 0.7. Carissa wants to know if the average sales generated by McDonald's restaurants in New Mexico is different than the worldwide average. She surveys 18 restaurants in New Mexico and finds the following data (in millions of dollars): 2.1, 2, 2.9, 1.7, 1.8, 2.3, 2.1, 2.1, 3.3, 1.4, 1.6, 1.4, 1.4, 2.3, 2.6, 2.7, 2.7, 1.7 Perform a hypothesis test using a 8% level of significance. Step 1: State the null and alternative hypotheses. Ho: pv 2.4 Ha: Ev 2.4 (So we will be performing a two-tailed test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are normally distributed v with and distribution standard deviation distribution mean Step 3: Find the p-value of the point estimate. P(zv [ p-value = Step 4: Make a Conclusion About the…
If data set A has a larger standard deviation than data set B, data set A is more spread out than data set B. A. True B. False
Solar energy is considered by many to be the energy of the future. A recent survey was taken to compare the cost of solar energy to the cost of gas or electric energy. Results of the survey revealed that the distribution of the amount of the monthly utility bill of a three-bedroom house using gas or electric energy had a mean of $117 and a standard deviation of $13. If the distribution can be considered normal: Approximately what percentage of homes will have a monthly utility bill less than $78? Note: Do NOT include the "%" sign Do NOT round any decimals, if applicable

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