Acme Trucking claims the average hourly salary of its mechanics is $9.25, with a standard deviation of $1.55. An employment agency researching local businesses randomly samples 81 mechanics and finds that they have an average hourly salary of $8.95. The employment agency suspects that the average salary given by Acme might be inaccurate, and the true average is lower. Use a 1% level of significance to test this theory. Let x be a random variable representing the hourly salary o

A study reported that finger rings increase the growth of bacteria on health-care workers’ hands. Research suggests that 31 percent of health-care workers who wear rings have bacteria on one or both hands. Suppose that independent random samples of 100 health-care workers wearing rings is selected. What is the standard deviation of the sampling distribution of the sample proportions of health-care workers having bacteria on one or both hands? A. 100 B. 0.0462 C. 0.69

A report states that the mean yearly salary offer for students graduating with a degree in accounting is $48,722. Suppose that a random sample of 50 accounting graduates at a large university who received job offers resulted in a mean offer of $49,870 and a standard deviation of $3900. Do the sample data provide strong support for the claim that the mean salary offer for accounting graduates of this university is higher than the national average of $48,722? Ho: μ = Ha: (Put in the correct symbol and value) ✓ Select an answer a not = P-value: = ↑ Based on the above we choose to Select an answer Question Help: Post to forum Submit Question

A college student is interested in investigating the claim that students who graduate with a master’s degree earn higher salaries, on average, than those who finish with a bachelor’s degree. She surveys, at random, 37 recent graduates who completed their master’s degrees, and finds that their mean salary is $⁢32,000 per year. The standard deviation of annual salaries for the population of recent graduates who have master’s degrees is known to be $1300. She also surveys, at random, 31 recent graduates who completed their bachelor’s degrees, and finds that their mean salary is $31,400 per year. The standard deviation of annual salaries for the population of recent graduates with only bachelor’s degrees is known to be $1900. Test the claim at the 0.02 level of significance. Let recent graduates with a master's degree be Population 1 and let recent graduates with a bachelor's degree be Population 2.   Compute the value of the test statistic. Round your answer to two decimal places.…

A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1106 and a standard deviation of 194. Scores on the ACT test are normally distributed with a mean of 21.2 and a standard deviation of 4.5. It is assumed that the two tests measure the same aptitude, but use different scales. a. If a student gets an SAT score that is the 28-percentile, find the actual SAT score. Round your answer to the nearest whole number. b. What would be the equivalent ACT score for this student? c. If a student gets an SAT score of 1552, find the equivalent ACT score. Round your answer to one decimal place.

Kurtis is a statistician who claims that the average salary of an employee in the city of Yarmouth is no more than $55,000 per year. Gina, his colleague, believes this to be incorrect, so she randomly selects 61 employees who work in Yarmouth and record their annual salary. Gina calculates the sample mean income to be $56,500 per year with a sample standard deviation of 3,750. Using the alternative hypothesis H1 : 55.0 appropriate hypothesis test. Round the test statistic to two decimal places and the p-value to three decimal places. Right-Tailed T-Table probability Degrees of Freedom 54 0.00040.00140.00240.00340.00440.00540.0064 56 57 58 59 60 3.562 3.135 2.943 2.816 2.719 2.641 2.576 3.558 3.132 2.941 2.814 2.7172.640 2.574 3.554 3.130 2.939 2.8122.716 2.638 2.572 3.550 3.127 2.937 2.810 2.714 2.636 2.571 3.547 3.125 2.935 2.8082.712 2.635 2.569 3.544 3.122 2.933 2.806 2.711 2.633 2.568 3.540 3.120 2.931 2.805 2.709 2.632 2.567 Provide your answer below , p-value -

A publishing company has just published a new college textbook. Before the company decidesthe price at which to sell this textbook, it wants to know the average price of all such textbooks inthe market. The research department at the company took a sample of 45 comparable textbooksand collected information on their prices. This information produces a mean price of $140 forthis sample. It is known that the standard deviation of the prices of all such textbooks is $28 andthe population of such prices is normal. What is the point estimate of the mean price of all suchtextbooks? Construct a 90% confidence interval for the mean price of all such college textbooks.

The salaries of professional baseball players are heavily skewed right with a mean of $3.2 million and a standard deviation of $2 million. The salaries of professional football players are also heavily skewed right with a mean of $1.9 million and a standard deviation of $1.5 million. A random sample of 40 baseball players’ salaries and 35 football players’ salaries is selected. The mean salary is determined for both samples. Let  represent the difference in the mean salaries for baseball and football players. Which of the following represents the shape of the sampling distribution for ? skewed right since the populations are both right skewed skewed right since the differences in salaries cannot be negative approximately Normal since both sample sizes are greater than 30 approximately Normal since the sum of the sample sizes is greater than 30

A national online business magazine reports that the average cost of a speeding ticket in Miami, including court fees, is $220. A local police department claims that this amount has increased. To test their claim, they collect data from a simple random sample of 16 drivers who have been fined for speeding in the last year. Assuming that the distribution of speeding ticket costs is normally distributed and the population standard deviation is $14, is there sufficient evidence to support the police department's claim at the 0.02 level of significance? Copy Data Speeding Ticket Costs in Miami $226 $215 $200 $248 $233 $242 $213 $247 $217 $221 $237 $217 $232 $211 $241 $212 Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Họ : 1 = 220 Hap 220