A large university is well known for both its business school and its mechanical engineering program. The dean of the career services office wants to know if there is a difference in starting job salary between recently graduated business majors and mechanical engineering majors. The starting annual salaries for a random sample of 30 business majors and 30 mechanical engineering majors from the most recent graduating class are taken. Assume that the population standard deviation of the business majors' starting salaries is $12,000 and the population standard deviation of the mechanical engineering majors' starting salaries is $7,000, and that the starting salaries for both majors are normally distributed. Let the business majors' salaries be the first sample, and let the mechanical engineering majors' salaries be the second sample.
The dean conducts a two-mean hypothesis test at the 0.05 level of significance, to test if there is evidence of a difference in average annual starting salary.
Which answer choice shows the correct null and alternative hypotheses for this test?
Select the correct answer below:
H0:μ1=μ2; Ha:μ1≠μ2, which is a two-tailed test.
H0:μ1=μ2; Ha:μ1<μ2, which is a left-tailed test.
H0:μ1=μ2; Ha:μ1>μ2, which is a right-tailed test.
H0:μ1≠μ2; Ha:μ1=μ2, which is a two-tailed test.
H0:μ1=μ2; Ha:μ1≠μ2, which is a two-tailed test.
| Test if there is evidence of a difference in average annual starting salary. |
A large university is well known for both its business school and its mechanical engineering program....
A1A Tires claims that its tires last longer than tires manufactured by its main competitor, YYZ Tires. A consumer group studied the lifespans of tires manufactured by each manufacturer. The lifespans of a random sample of 10 tires from each manufacturer, in thousands of miles, are recorded. Assume that the population standard deviation of the lifespan for tires manufactured by A1A Tires is 3 thousand miles, while the population standard deviation of the lifespan for tires manufactured by YYZ Tires...
Christine is the dean of students at a college. She is concerned about the amount of sleep students are getting. In particular, Christine is making an inquiry on whether students who are enrolled in the pre-med program are getting less sleep on average compared to students who are enrolled in other programs. The average amount of sleep per night for a random sample of 10 pre-med students and 10 students in other programs is recorded. Assume that the population standard...
A potato chip company makes potato chips in two flavors, Regular and Salt & Vinegar. Riley is a production manager for the company who is trying to ensure that each bag contains about the same number of chips, regardless of flavor. He collects two random samples of 10 bags of chips of each flavor and counts the number of chips in each bag. Assume that the population variances of the number of chips per bag for both flavors are equal...
Mean entry-level salaries for college graduates with mechanical engineering degrees and electrical engineering degrees are believed to be approximately the same. A recruiting office thinks that the mean mechanical engineering salary is actually lower than the mean electrical engineering salary. The recruiting office randomly surveys 42 entry level mechanical engineers and 54 entry level electrical engineers. Their mean salaries were $46,000 and $46,900, respectively. Their standard deviations were $3450 and $4210, respectively. Conduct a hypothesis test at the 5% level...
uestion A1A Tires claims that its tires last longer than tires manufactured by its main competitor, YYZ Tires. A consumer group studied the lifespans of tires manufactured by each manufacturer. The lifespans of a random sample of 10 tires from each manufacturer, in thousands of miles, are recorded. Assume that the population standard deviation of the lifespan for tires manufactured by A1A Tires is 3 thousand miles, while the population standard deviation of the lifespan for tires manufactured by YYZ...
A simple random sample of 17 business majors from a certain university had a mean GPA of 2.81 with a standard deviation of 0.27. A simple random sample of 23 psychology majors was selected from the same university, and their mean GPA was 2.97 with a standard deviation of 0.23. Boxplots show that it is reasonable to assume that the populations are approximately normal. The question of interest is whether the mean GPAs differ between business majors and psychology majors....
Commercial real estate prices and rental rates suffered substantial declines in 2008 and 2009.† These declines were particularly severe in Asia; annual lease rates in Tokyo, Hong Kong, and Singapore declined by 40% or more. Even with such large declines, annual lease rates in Asia were still higher than those in many cities in Europe. Annual lease rates for a sample of 30 commercial properties in an Asian city showed a mean of $1,116 per square meter with a standard...
A1A Tires claims that its tires last longer than tires manufactured by its main competitor, YYZ Tires. A consumer group studied the lifespans of tires manufactured by each manufacturer. The lifespans of a random sample of 10 tires from each manufacturer, in thousands of miles, are recorded. Assume that the population standard deviation of the lifespan for tires manufactured by A1A Tires is 3 thousand miles, while the population standard deviation of the lifespan for tires manufactured by YYZ Tires...
You may need to use the appropriate appendix table or technology to answer this question. A magazine uses a survey of readers to obtain customer satisfaction ratings for the nation's largest retailers. Each survey respondent is asked to rate a specified retailer in terms of six factors: quality of products, selection, value, checkout efficiency, service, and store layout. An overall satisfaction score summarizes the rating for each respondent with 100 meaning the respondent is completely satisfied in terms of all...
Would Not Approve of Driving Drunk Would Not Approve of Driving Drunk n1=40 n2=25 X¯1=2.1 X¯2=8.2 s1=1.8 s2=1.9 John Worrall and colleagues (2014) found that the fear of losing the good opinion of one’s family and peers kept people from driving home drunk. Let’s say we have two independent random samples of people: those who think that their peers would disapprove of them from driving drunk, and those who think that their peers would either not care or approve of...