In a survey of 2508 2508 adults in a recent year, 1395 1395 say they have made a New Year's resolution. Construct 90% and 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals. The 90% confidence interval for the population proportion p is left parenthesis nothing comma nothing right parenthesis , . (Round to three decimal places as needed.) The 95% confidence interval for the population proportion p is left parenthesis nothing comma nothing right parenthesis , . (Round to three decimal places as needed.) With the given confidence, it can be said that the ▼ of adults who say they have made a New Year's resolution is ▼ between the endpoints less than the upper endpoint not between the endpoints greater than the lower endpoint of the given confidence interval. Compare the widths of the confidence intervals. Choose the correct answer below. A. The 90% confidence interval is wider. B. The 95% confidence interval is wider. C. The confidence intervals cannot be compared. D. The confidence intervals are the same width.
In: Statistics and Probability
Suppose that a study shows that an electric bike is driven 23,500 km/year on average and has a standard deviation of 3900 km. Assume that the measurements’ distribution is approximately normal.
a) Calculate the 3rd quartile.
b) Solve for the probability that a randomly selected electric bike is driven at most 15,000 km per year, and then solve for the probability that a randomly selected electric bike is driven between 10,000 and 20,000 km per year.
c) If the average cost of leasing an electric bike is $300 per month with an SD of $110. You want to buy an electric bike so you randomly sample 20 people who are currently leasing. Solve for the probability that the sample mean, amongst the randomly selected 20 people, is less than $250.
d) Solve for the probability that the sample mean is greater than $300, amongst the randomly selected 20 people sampled in part c)
In: Statistics and Probability
In May of the current year, your employer received a PIER report from the CRA that identified Canada Pension Plan (CPP) contribution deficiencies for employees in the organization who:
To avoid a recurrence, the Payroll Manager, Sophie Beauchamp, has asked you to prepare a summary of the CPP reporting requirements on T4 information slips. The summary will be used to validate the current payroll setup to ensure that the T4s will be completed properly in future. Provide information on the CPP related boxes that must be completed, including how any amounts are calculated, for employees who:
In: Accounting
Births are approximately Uniformly distributed between the 52
weeks of the year. They can be said to follow a Uniform
distribution from 1 to 53 (a spread of 52 weeks). Round answers to
4 decimal places when possible.
In: Statistics and Probability
6. Last year it was found that on average it took students 20 minutes to fill out the forms required for graduation. This year the department has changed the form and asked graduating student to report how much time it took them to complete the forms. Of the students 22 replied with their time, the average time that they reported was 18.5 minutes, and the sample standard deviation was 5.2. Can we conclude that the new forms take less time to complete than the older forms? Use a 0.1 significance level (i.e., p-value). (Assume that the reported times follow a Gaussian distribution)
In: Statistics and Probability
Use the ERR method with ? =%10 per year to solve a unique rate of return for the following cash flow diagram.
| Year | Cash Flow |
| 0 | -200 |
| 1 | -100 |
| 2 | +550 |
| 3 | -820 |
| 4 | +430 |
| 5 | +340 |
| 6 | -160 |
In: Accounting
Bruin Inc. will have earnings of $15 million next year and is projected to grow at a constant rate of 6 percent forever. All earnings are paid out as dividends to shareholders. The company plans to launch a new project three years from now that will cost $10 million. The project will increase the firm's annual earnings by a constant $8.3 million every year forever starting one year later (i.e. 4 years from now). What is the market value of the company stock? The discount rate is 10.3 percent
In: Finance
Court Casuals has 100,000 shares of common stock outstanding as of the beginning of the year and has the following transactions affecting stockholders' equity during the year.
May 18 Issues 25,000 additional shares of $1 par value common stock for $35 per share.
May 31 Repurchases 6,000 shares of treasury stock for $44 per share.
July 1 Declares a cash dividend of $1 per share to all stockholders of record on July 15.
Hint: Dividends are not paid on treasury stock.
July 31 Pays the cash dividend declared on July 1.
August 10 Reissues 2,900 shares of treasury stock purchased on May 31 for $49 per share.
Record each of these transactions. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field.)
In: Accounting
the number of initial public offerings of stock issued in a 10-year period and the total proceeds of these offerings (in million) are shown in the table. Construct and interpret a 95% prediction interval for the proceeds when the number of issues is 576. The equation of the regression line is ý = 32.688x + 17,464.523.
Issues, x 412 458 700 483 483 392 52 75 176 170
proceeds 17,976 29,418 43,736 30,522 36,578 35,848 20,092, 11,034 31,749 28,865
construct and interpret a 95% prediction interval for the proceeds when the number of issues is 576.
select the correct choice below and fill in the answer
boxes to complete your choice.
(round to the nearest million dollars as needed. type your answer
in standard form where "3.12 million" means 3,120,000)
A. we can be 95% confident that when there are 576 issues, the proceeds will be between $____ and $_____
or
B. There is a 95% chance that the predicted proceeds given 576
issues is between $___ and $____
In: Statistics and Probability
Pearl Corp. is expected to have an EBIT of $2,600,000 next year. Depreciation, the increase in net working capital, and capital spending are expected to be $160,000, $115,000, and $155,000, respectively. All are expected to grow at 16 percent per year for four years. The company currently has $13,500,000 in debt and 1,150,000 shares outstanding. After Year 5, the adjusted cash flow from assets is expected to grow at 3 percent indefinitely. The company’s WACC is 9.2 percent and the tax rate is 23 percent.
What is the price per share.
In: Finance