The mayor of a town has proposed a plan for the construction of an adjoining community. A political study took a sample of 1400 1400 voters in the town and found that 61% 61 % of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is not equal to 64% 64 % . Testing at the 0.01 0.01 level, is there enough evidence to support the strategist's claim?
State the null and alternative hypotheses.
Find the value of the test statistic. Round your answer to two decimal places.
Specify if the test is one-tailed or two-tailed.
Determine the P-value of the test statistic. Round your answer to four decimal places.
Identify the value of the level of significance.
Make the decision to reject or fail to reject the null hypothesis.
State the conclusion of the hypothesis test.
In: Statistics and Probability
Listed below are amounts of court income and salaries paid to the town justices for a certain town. All amounts are in thousands of dollars. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 99% confidence level with a court income of $800,000.
Court Income $60 $408 $1583 $1124 $268 $252 $108 $169 $29
Justice Salary $26 $40 $96 $60 $46 $57 $30 $27 $15
A) Find explained variation. round to 3 decimal places
B) Find unexplained variation. round to 3 decimal places
C) Find indicated prediction interval. round to 3 decimal places
In: Statistics and Probability
Each person in random samples of 227 male and 253 female working adults living in a certain town in Canada was asked how long, in minutes, his or her typical daily commute was. (Use a statistical computer package to calculate the P-value. Use μmales − μfemales. Round your test statistic to two decimal places, your df down to the nearest whole number, and your P-value to three decimal places.)
| Males | Females | ||||
| Sample size |
x | s | Sample size |
x | s |
| 227 | 29.6 | 24.0 | 253 | 27.3 | 24.3 |
| t | = |
| df | = |
| P-value | = |
Is there enough evidence to show that there is a difference in mean
commute times for male and female working residents of this town?
Use a significance level of 0.05.
Yes
No
In: Statistics and Probability
Pirates are attacking the coastal town of Townberg. The pirates have
a cannon on their ship which can fire a cannonball at 440 meters per
second.
(a) Suppose the pirates fix the cannon at an angle of π/4. Write a function h(t) which gives the height (in meters) at t seconds for the cannonball (assume that the cannonball has initial height 5 meters) and a function d(t) which gives the horizontal distance of the cannonball (in meters) at t seconds.
(b) How far from Townberg does the pirate ship have to be so that
the cannonball can hit the town (assume Townberg has a height
of 0 meters)?
(c) What is the cannonball’s vertical speed as it hits the ground?
What is the cannonball’s horizontal speed as it hits the ground?
What is the cannonballs total speed as it hits the ground?
In: Advanced Math
The mayor of a town has proposed a plan for the construction of an adjoining community. A political study took a sample of 1400 voters in the town and found that 61 % of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is not equal to 64 % . Testing at the 0.01 level, is there enough evidence to support the strategist's claim?
State the null and alternative hypotheses.
Find the value of the test statistic. Round your answer to two decimal places.
Specify if the test is one-tailed or two-tailed.
Determine the P-value of the test statistic. Round your answer to four decimal places.
Identify the value of the level of significance.
Make the decision to reject or fail to reject the null hypothesis.
State the conclusion of the hypothesis test.
In: Statistics and Probability
Smith Corp. orally engaged TRA CPAs, to audit its financial statements. The management of Smith Corp. informed TRA CPAs that it suspected that the accounts receivable was materially overstated. Although the financial statements audited by TRA CPAs did, in fact, include a materially overstated accounts receivable balance, TRA issued an unqualified opinion. Smith Corp then relied on the financial statements in deciding to obtain a loan from Town Bank to expand its operations and Town Bank relied on the financial statements in making the loan to Smith Corp. As a result of the overstated accounts receivable balance, Smith Corp. has defaulted on the loan and has incurred a substantial loss. If Smith Corp sues TRA CPAs for negligence in failing to discover the overstatement, what is TRA CPA's best defense?
In: Accounting
Janet Johnson, an
African American woman, has been working at the Tennessee
Hydroelectric plant for 15 years. During that time, his performance
reviews have been exemplary. She decided to apply for the new plant
foreman position. Although she felt that she was eminently
qualified for the position, she also was growing tired of a certain
good old boy culture at the plant. For years, the plant has had a
culture of highly lewd “jokes,” and many of the employees had also
engaged in inappropriate touching of female employees. The plant
had an anti-harassment policy on record, but Janet’s boss shrugged
and said “boys will be boys” when she reported the harassment to
him.
Competition for the position was fierce. But ultimately, Jose
Martinez, a Chilean man, received the position. Jose had 7 years of
experience. Unbeknownst to the applicants the promotion board
secretly ran a credit check on the applicants. Janet credit score
came in as lower as average, and this factored into the board’s
decision. Although he met the qualifications of the position, one
of the hiring managers told Janet in confidence that Janet was the
most qualified person for the job. And the other managers had
applied a racial preference on Jose’s behalf due to there never
having been a Latino manager at the plant even though Latino’s
represented 35% of employees at the plant. Janet sues the plant for
disparate treatment, disparate impact, and sexual harassment under
Title VII.
Questions
In: Operations Management
Spring Sports a startup company with SaaS platform for organizations to manage memberships and events and get paid for both. Hive beat helps the customers and local cycling club, student organization, yoga club, high school, non-profit or any other type of organization set memberships on auto-pilot (like local fitness center) and sell tickets for open or members-only events.
Prepare a report mentioning the different objectives for the new startup company Spring Sports
In: Finance
You are a member of a training team who is preparing a training module for new nontraditional students, or students who fall outside the 18-22 age range. Rather than going immediately into college from high school, many nontraditional students enter the workforce instead. Using the andragogical assumptions in addition to the andragogical principles and training applications reviewed in chapter 2, show how your team would develop a module that trains nontraditional students in how to study and manage time.
In: Operations Management
You are performing the audit of XCO, a public compnay. Bubba Smith, the inventor who founded XCO is still the majority shareholder. Bubba and his two daughters comprise the majority of senior management for the company and hold three of the seven seats on the board of directors. You are testing accounts recieveable and notice that some are from Bubba and his daughters. Interest is not specified in the notes. Identify applicable ASC and IFRS standards on the issues raised in this case.
In: Accounting