The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped with a mean of 37 ounces and a standard deviation of 3 ounces. Using the Empirical Rule, answer the following questions. Suggestion: Sketch the distribution.

a) 95% of the widget weights lie between  and

b) What percentage of the widget weights lie between 28 and 43 ounces?  %

c) What percentage of the widget weights lie below 40?  %

A sample of 16001600 computer chips revealed that 21%21% of the chips fail in the first 10001000 hours of their use. The company's promotional literature states that 23%23% of the chips fail in the first 10001000 hours of their use. The quality control manager wants to test the claim that the actual percentage that fail is different from the stated percentage. Is there enough evidence at the 0.020.02 level to support the manager's claim?

signifigant evidence or not enough evidence

In a study of the accuracy of fast food​ drive-through orders, Restaurant A had 211 accurate orders and 71 that were not accurate. a. Construct a 95​% confidence interval estimate of the percentage of orders that are not accurate. b. Compare the results from part​ (a) to this 95​% confidence interval for the percentage of orders that are not accurate at Restaurant​ B: 0.226 < p < 0.323. What do you​ conclude? Need answer to both a. and b. Thanks.

A Chinese investor bought 50,000 Yuans worth of stock in AMZN when it was selling for $950 and the exchange rate was 1USD = 6CNY. He just sold his shares for $ 1,650 per share and 1USD = 7CNY. What was the total return of the investor? What percentage of the total return was due to change in share price? What percentage of the return was due to change in exchange rate?

Please show work on EXCEL with formulas.

The following table shows the average petrol price and the number of online shopping orders over a given month:

The relationship between the average petrol price and the number of online shopping orders in a given month is proposed to follow the simple regression equation below: show variables

Calculate the percentage of variability in the number of online shopping orders that is not explained by the average petrol price. Give your answer as a percentage to 1 decimal place.

Percentage = % __________

The following table shows the average petrol price and the number of online shopping orders over a given month: Petrol Price and Online Shopping Average Petrol Price per gallon over a month ($) Number of Online Shopping Orders

1.57 1,398

4.8225 4,109

2.2725 2,257

3.42 2,644

3.2225 3,257

4.3175 3,530

1.3275 1,791

3.68 3,859

4.3025 3,544

2.065 2,173

The relationship between the average petrol price and the number of online shopping orders in a given month is proposed to follow the simple regression equation below: show variables y^ = b0 + b1x Calculate the percentage of variability in the number of online shopping orders that is not explained by the average petrol price. Give your answer as a percentage to 1 decimal place. Percentage = %

For each problem test the significance the Spearman Rank Correlation Coefficient. Show your calculation of the test statistic rs. Please show work so i understand how to do it! Exercise 1. Defense and wins. The data in the table below shows the wining percentage and the yards per game allowed in the 2014-15 season for a random sampling of teams. At α = 0.05, can you support the claim that there is a correlation between the winning percentage and the yards allowed? Team Winning percentage Total yards Baltimore Ravens 0.625 336.9 Cleveland Browns 0.438 366.1 Denver Broncos 0.750 305.2 Jacksonville Jaguars 0.188 370.8 New England Patriots 0.750 344.1 Oakland Raiders 0.188 357.6 Pittsburgh Steelers 0.688 353.4

Consider Bond C – a 4% coupon bond that has 10 years to maturity. It makes semi-annual payments and has a YTM of 7%. If interest rates suddenly drop by 2%, what is the percentage change of the bond? What does this problem tell you about the relationship between interest rate and bond price? Consider another bond – Bond D, which is a 10% coupon bond. Similar to Bond C, it has 10 years to maturity. It also makes semi-annual payments and have a YTM of 7%. If interest rates suddenly drop by 2%, what is the percentage change of the bonds? Comparing the percentage change of bond C and bond D, what does this tell you about the interest rate risk of bonds with higher coupon rates?

a) Consider Bond C – a 4% coupon bond that has 10 years to maturity. It makes semi-annual payments and has a YTM of 7%. If interest rates suddenly drop by 2%, what is the percentage change of the bond? What does this problem tell you about the relationship between interest rate and bond price? b) Consider another bond – Bond D, which is a 10% coupon bond. Similar to Bond C, it has 10 years to maturity. It also makes semi-annual payments and have a YTM of 7%. If interest rates suddenly drop by 2%, what is the percentage change of the bonds? Comparing the percentage change of bond C and bond D, what does this tell you about the interest rate risk of bonds with higher coupon rates?

Suppose that the national average for the math portion of the College Board's SAT is 548. The College Board periodically rescales the test scores such that the standard deviation is approximately 100. Answer the following questions using a bell-shaped distribution and the empirical rule for the math test scores.

If required, round your answers to two decimal places.