A random sample of stipends for teaching assistants in economics is listed. Is there sufficient evidence at a = 0.0 level to conclude that the average stipend greater than $15,000? S14.000 $18,000 $12,000 $14,356 $13,185 $13,419 $14.000 $11,981 $17,604 $12,283 $16,338 $15.000

A random sample of stipends for teaching assistants in economics is listed. Is there sufficient evidence at a = 0.0 level to conclude that the average stipend greater than $15,000? S14.000 $18,000 $12,000 $14,356 $13,185 $13,419 $14.000 $11,981 $17,604 $12,283 $16,338 $15.000

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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6. Eric Roberts, Inc. is a company that specializes in tax-deferred investment opportunities for its clients. Recently, this company offered a payroll deduction investment program for the employees of a particular company. The company estimates that the employees are currently averaging $110 or less per month in tax-deferred investments. A sample of 80 employees will be used to test the company's hypothesis about the current level of investment activity among the population of employees. Assume the employee monthly tax-deferred investment amounts have a standard deviation of $70 and that a 0.05 level of significance will be used in the hypothesis test. What is the probability of the Type II error if the actual mean employee monthly investment is $125?
You are a new hire at Laurel Woods Real Estate, which specializes in selling foreclosed homes via public auction. Your boss has asked you to use the following data (mortgage balance, monthly payments, payments made before default, and final auction price) on a random sample of recent sales to estimate what the actual auction price will be. Loan ($) Payments ($) Payments Made Auction ($) 85600 985.87 1 16900 115300 902.56 33 75800 103100 736.28 6 43900 84600 945.45 9 16600 97600 821.07 24 40700 104400 983.27 26 63100 113800 1075.54 19 72600 116400 1087.16 35 72300 100000 900.01 33 58100 92800 683.11 36 37100 105200 915.24 34 52600 105900 905.67 38 51900 94700 810.7 25 43200 105600 891.33 20 52600 104100 864.38 7 42700 85700 1074.73 30 22200 113600 871.61 24 77000 119400 1021.23 58 69000 90600 836.46 3 35600 104500 1056.37 22 63000 GIVEN - ALL CORRECT: Auction price =(118,929.46)+1.63 Loan +2.06 Monthly payment +50.34 Payments Made.…
Individuals filing federal income tax returns prior to March 31 received an average refund of $1056. Consider the population of “last-minute” filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15). A researcher suggest that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. Develop appropriate hypotheses such that rejection of will support the researcher’s contention. For a sample of 400 individuals who file a tax return between April 10 and April 15, the sample mean refund was $910. Based on prior experience a population standard deviation of o=1600 may be assumed. What is the p-value? At a=.05 , What is your conclusion?
Borrowing money may be necessary for business expansion. However, too much borrowed money can also mean trouble. Are developing countries tending to borrow more? A random sample of 20 developing countries gave the following information regarding foreign debt per capita (in U.S. dollars, inflation adjusted). (Reference: Handbook of International Economic Statistics, U.S. Government Documents.) Country 1 2 3 4 5 6 7 8 9 10 Modern Debt per Capita 175 152 123 121 99 89 39 22 24 87 Historic Debt per Capita 145 137 85 114 59 67 33 31 45 76 Country 11 12 13 14 15 16 17 18 19 20 Modern Debt per Capita 26 25 12 23 193 182 142 124 107 78 Historic Debt per Capita 28 12 14 27 105 151 143 114 116 73 Does this information indicate that foreign debt per capita is increasing in developing countries? Use a 0.05 level of significance. (a) What is the level of significance?State the null and alternate hypotheses. H0: Distributions are the same.H1: Modern debt distribution is…
The monthly incomes for 12 randomly selected people, each with a bachelor's degree in economics, are shown on the right. Complete parts (a) through (c) below. Assume the population is normally distributed. 4450.04 4596.08 4366.42 4455.64 4151.49 3727.22 4283.36 4527.36 4407.11 3946.91 4023.06 4221.57 (a) Find the sample mean. x = 4263.0 (Round to one decimal place as needed.) (b) Find the sample standard deviation. s = 260.0 (Round to one decimal place as needed.) (c) Construct a 90% confidence interval for the population mean μ. A 90% confidence interval for the population mean is (Round to one decimal place as needed.)
Individuals filing federal income tax returns prior to March 31 received an average refund of $1056. Consider the population of “last-minute” filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15). The null hypothesis is that the average refund of last-minute filers is equal to or greater than $1056. The alternative hypothesis is that their average refund is smaller than $1056. For a sample of 100 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience a population standard deviation may be assumed $1600. What is the p-value?
d. Suppose we wish to find the middle 50% of the problem-solving times. What are the end points of these two times? (Do not round your intermediate calculations. Round your answers to 3 decimal places.)
Individuals filing federal income tax returns prior to March 31 received an average refund of $1,055. Consider the population of "last-minute" filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15). (a) A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. Develop appropriate hypotheses such that rejection of H0 will support the researcher's contention. H0: ? ≤ $1,055Ha: ? > $1,055H0: ? > $1,055Ha: ? ≤ $1,055 H0: ? ≥ $1,055Ha: ? < $1,055H0: ? < $1,055Ha: ? ≥ $1,055H0: ? = $1,055Ha: ? ≠ $1,055 (b) For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience, a population standard deviation of ? = $1,600 may be assumed. What is the test statistic? (Round your answer to two decimal places.) What is the p-value? (Round…
2. A random telephone survey of 1,051 adults (aged 18 and older) was conducted by an online tax preparation and e-filing service. The survey results showed that 654 of those surveyed planned to file their taxes electronically. (Round your answers to the nearest whole number.) (a) Develop a descriptive statistic that can be used to estimate the percentage of all taxpayers who file electronically. % (b) The survey reported that the most frequently used method for preparing the tax return is to hire an accountant or professional tax preparer. If 60% of the people surveyed had their tax return prepared this way, how many people used an accountant or professional tax preparer? (c) Other methods that the person filing the return often used include manual preparation, use of an online tax service, and use of a software tax program. Would the data for the method for preparing the tax return be considered categorical or quantitative? categorical
Borrowing money may be necessary for business expansion. However, too much borrowed money can also mean trouble. Are developing countries tending to borrow more? A random sample of 20 developing countries gave the following information regarding foreign debt per capita (in U.S. dollars, inflation adjusted). (Reference: Handbook of International Economic Statistics, U.S. Government Documents.) Country 1 2 3 4 5 6 7 8 9 10 Modern Debt per Capita 173 156 122 128 99 81 35 22 22 84 Historic Debt per Capita 141 138 89 116 58 67 34 32 44 74 Country 11 12 13 14 15 16 17 18 19 20 Modern Debt per Capita 26 24 16 25 197 183 141 127 109 77 Historic Debt per Capita 25 11 17 21 107 154 149 119 116 76 Does this information indicate that foreign debt per capita is increasing in developing countries? Use a 0.01 level of significance. (a) What is the level of significance? (b) Compute the sample test statistic. (Round your answer to two decimal places.) (c) Find the P-value of the…
Individuals filing federal income tax returns prior to March 31 received an average refund of $1,071. Consider the population of "last-minute" filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15).