The data below are yields for two different types of corn seed that were used on adjacent plots of land. Assume that the data are simple random samples and that the differences have a distribution that is approximately normal. Construct a​ 95% confidence interval estimate of the difference between type 1 and type 2 yields. What does the confidence interval suggest about farmer​ Joe's claim that type 1 seed is better than type 2​ seed? Type 1, 2098 1931 2053 2415 2207 2004 2221 1592 Type 2, 2065 1962 2061 2448 2145 1969 2146 1491 In this​ example, mu d is the mean value of the differences d for the population of all pairs of​ data, where each individual difference d is defined as the type 1 seed yield minus the type 2 seed yield. The​ 95% confidence interval is nothingless thanmu Subscript dless than nothing. ​(Round to two decimal places as​ needed.)

Roy Reds Ltd is a Manufacturing Company.The Following Ledger account balances were extracted from the books of the company for the year ended December 31,2004

stocks as at January1,2004:

Raw materials$40000,Partly manufactured good (WIP) $50000,Finished Goods $37000

Stocks as at December 31,2004:

Raw Materials $30000,Partly Manufactured goods (WIP) $60000 Finished Goods $45000

Other balances:

Purchases of raw materials$136000,freight and carriage on raw materials $5000,production workers salary $170000,Rent and Rates$8000,Gas and Fuel $15000,office workers pay $20000,Depreciation of productive machinery and plant $10000,sales $550000

Notes:

Rent and rates,gas and fuel must be apportioned 60% to factory and 40% to office.

Required:

Prepare the Manufacturing,Trading and Profit and loss Accounts for the period ending 31December 2004(clearly indicate the following in your answer)

1 Prime Cost

2 Factory Overheads

3 Cost of Production

4 Gross Profit

5 Net Profit

The National Sleep Foundation used a survey to determine whether hours of sleeping per night are independent of age (Newsweek, January 19, 2004). The following show the hours of sleep on weeknights for a sample of individuals age 49 and younger and for a sample of individuals age 50 and older.

Conduct a test of independence to determine whether the hours of sleep on weeknights are independent of age. Use  = .05. Use Table 12.4.

Compute the value of the X2 (Chi2) test statistic (to 2 decimals).????

b) Using the total sample of 500, estimate the percentage of people who sleep less than 6, 6 to 6.9, 7 to 7.9, and 8 or more hours on weeknights (to 1 decimal).

The National Sleep Foundation used a survey to determine whether hours of sleeping per night are independent of age (Newsweek, January 19, 2004). The following show the hours of sleep on weeknights for a sample of individuals age 49 and younger and for a sample of individuals age 50 and older. Hours of Sleep Age Fewer than 6 6 to 6.9 7 to 7.9 8 or more Total 49 or younger 37 58 71 74 240 50 or older 34 60 79 87 260

a.Conduct a test of independence to determine whether the hours of sleep on weeknights are independent of age. Use = .05.

Compute the value of the 2 test statistic (to 2 decimals).

b.Using the total sample of 500, estimate the percentage of people who sleep less than 6, 6 to 6.9, 7 to 7.9, and 8 or more hours on weeknights (to 1 decimal).

Less than 6 hours %

6 to 6.9 hours %

7 to 7.9 hours %

8 or more hours %

Methyl orange changes from red at pH 3.1 to yellow at pH 4.4. Would methyl orange be a suitable indicator for the titration of propanoic acid (pKa=4.87, Ka=1.34x10^-5) with 0.01 M NaOH? Explain. Phenolphthalein changes from colorless at pH 8.0 to pink at pH 9.6. Would phenolphthalein be a suitable indicator for the titration of propanoic acid with 0.01 M NaOH? Explain.

imagine that the short-run price elasticity of supply for farmer's corn is 0.3, while long - run price elasticity of supply is 2.
1. if prices for corn fall 30%, what are the short-run changes in quantity supplied?
2. what are the short-run and long run changes in quantity supplied if prices rise by 15%?
3. what happens to the farmer's revenues in each of these 4 situations?

What changes do you see in today's economy as compared with the past. Have things like interest rate changes and tax cuts had a positive or negative effect on the economy? Are unemployment goals different? Will deficits create a burden on future generations? What do you think of our current economic growth (GDP)? Why is the relationship between national debt and GDP important?