Income tax returns show that the mean income of self-employed persons in a particular year was £15,000, with a standard deviation of £975. A random sample of 169 returns from people in the clothing industry gave a mean income of £14,500. Did this indicate that income from
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Income tax returns show that the mean income of self-employed persons in a
particular year was £15,000, with a standard deviation of £975. A random
sample of 169 returns from people in the clothing industry gave a mean income of £14,500. Did this indicate that income from self-employment in the clothing industry was significantly different?
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- The accompanying data provides the results of a survey of 27 employees in a tax division of a Fortune 100 company. a. Test the null hypothesis that the average number of years of service is the same for males and females. Assume that the population variances are unequal. b. Test the null hypothesis that the average years of undergraduate study is the same for males and females. Assume that the population variances are unequal. Click the icon to view the survey data. a. Is there sufficient evidence at the 0.01 level of significance that the average number of years of service is the same for males and females? Determine the null hypothesis, Ho, and the alternative hypothesis, H₁. Let females be population 1 and males be population 2. Ho P-P2 H₁: P₁ - H = 0 (Type integers or decimals. Do not round.) Compute the test statistic. - 3.65 (Round to two decimal places as needed.) Find the p-value for the test. (Round to three decimal places as needed.)The accompanying data provides the results of a survey of 27 employees in a tax division of a Fortune 100 company. a. Test the null hypothesis that the average number of years of service is the same for males and females. Assume that the population variances are unequal. b. Test the null hypothesis that the average years of undergraduate study is the same for males and females. Assume that the population variances are unequal Click the icon to view the survey data. a. Is there sufficient evidence at the 0.01 level of significance that the average number of years of service is the same for males and females? Determine the null hypothesis, H. and the alternative hypothesis. H Let females be population 1 and males be population 2 Ho H1 H2 = 0 HH-H # 0 (Type integers or decimals. Do not round.) Compute the test statistic (Round to two decimal places as needed.) Survey data Gender Years of Service Years Undergraduate Study Gender Years of Service Years Undergraduate Study Female 18 4 Male 6…A researcher wants to estimate the average monthly income of individuals in a certain city. A random sample of 20 individuals is selected, and their monthly incomes (in dollars) are recorded as follows: 2,500 2,800 3,000 3,200 3,400 3,500 3,600 4,100 4,200 4,300 4,500 4,600 4,700 4,900 3,700 3,800 4,000 5,000 5,200 5,500 Assuming the incomes are normally distributed, calculate the 90% confidence interval for the average monthly income of individuals in the city.. Please show all the necessary steps and provide your answer with the appropriate interpretation. Hints: • Calculate the sample mean and sample standard deviation. . Determine the critical value (t-value) for a 90% confidence level. • Calculate the margin of error using the critical value and sample standard deviation. • Calculate the lower and upper bounds of the confidence interval using the sample mean and margin of error. • Interpret the confidence interval in the context of the problem. I
- A study of homeowners in the 5th congressional district in Maryland found that their annual household incomes are normally distributed with a mean of $41,182 and a standard deviation of $11,990 (based on data from Nielsen Media Research). a. What percentage of household incomes are greater than $30,000?b. What percentage of household incomes are between $25,000 and $40,000?c. If an advertising campaign is to be targeted at those whose household incomes are in the top 20%, find the minimum income level for this target group?The Economic Policy Institute periodically issues reports on wages of entry-level workers. The institute reported that entry-level wages for male college graduates were $21.68 per hour and for female college graduates were $18.80 per hour in 2011. Assume that the standard deviation for male graduates is $2.30, and for female graduates it is $2.05. What is the sampling distribution of for a random sample of 50 male college graduates? What is the sampling distribution of for a random sample of 50 female college graduates? In which of the preceding two cases, part (a) or part (b), is the standard error of smaller? Why?In a sample of 10,000 US employees, 1,530 said that working from home was worse than working in the office. (Data from Becher Freidman Institute for Economics, reported by Stephanie Stamm, “Is a Home Office More Productive? Some Workers Think So,” The Wall Street Journal, January 2, 2021, pg. B=2). Use this information to calculate a 95% confidence interval for the proportion of all US adults who find that working at home was worse. What is the UPPER confidence limit? Answer with a percentage that is rounded to the nearest integer. Please provide only typed answer solution Don't use any AI. It's strictly prohibited
- Yogi has the following financial data: Investment assets at year end Investment assets at beginning of the year Savings made during the year by Yogi Employer match to Yogi's 401(k) plan Total assets on ending statement of financial position Gross income on income statement Total assets on beginning statement of financial position Total liabilities at beginning of year Total liabilities at year end What is Yogi's ROI for the year? O 13.01% O 18.37% 15.56% 4 21.17% $475.000 $392,000 $27,000 $5,000 $700.000 $100,000 $600,000 $200.000 $180,000According to the Census Bureau, in October 2016, the average house price in the United States was $27,058. 7 years earlier, the average price was $22,008. What was the annual increase in the price of the average house sold? Multiple Choice 3.29% 2.70% -2.91% 3.59% 3.00%Pendleton had the following partial income statement. What is Pendleton's net income if the tax rate is 21%? b Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. $22,500 d $15,775 C $17,775 Sales Cost of goods sold Gross profit Salary expense Rent expense Entertainment $16,275 Business meal with clients Federal income tax Net income $97,000 ($28,000) $69,000 ($41,000) ($5,000) ($2,000) ($1,000) ? ?
- Mr. M is a VAT taxpayer. He had the following data in a month:Output taxes on domestic sales P 96,000 Output taxes on export sales 0 Input taxes on domestic sales P 48,000 Input taxes on export sales P 18,000 How much is the value-added tax payable if the input taxes on export sales is used against the output taxes of both domestic and export sales?when was the last time the FUTA rate was changed and what was the impact on employers? Taking the 5.4% credit reduction, what was the effective tax rate before and after for employers? What was the maximum amount of tax for each employee before and after the tax rate change? In your opinion and using the internet for research, do you believe that the FUTA tax rates for the FUTA tax credit will be changed in the near future?For the year 2010, 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was $16,642. Assume that the standard deviation is σ = $2,280. If required, round your answer to two decimal places. (a) What are the sampling distributions of x for itemized deductions for this population of taxpayers for each of the following sample sizes: 30, 50, 100, and 400? E(x) = $ n σ(x) 30 $ 50 $ 100 $ 400 $ (b) What is the advantage of a larger sample size when attempting to estimate the population mean? A larger sample - Select your answer -increasesdoes not changereducesItem 6 the standard error and results in a - Select your answer -moreequallylessItem 7 precise estimate of the population mean.