The mean salary of professors in the US is $52,000.

The mean salary of professors in the US is $52,000.

The standard deviation of finishing times for runners in a marathon is at least 106 minutes.

At most 8% of college students cheat on exams.

The mean GPA of Students is less than 2.8.

Solutions

Expert Solution

Solution:

The mean salary of professors in the US is $52,000.

H₀ : = 52000 vs H_a : 52000

The standard deviation of finishing times for runners in a marathon is at least 106 minutes.

H₀ : 106 vs H_a : < 106

At most 8% of college students cheat on exams.

H₀ : p 0.08 vs H_a : p > 0.08

The mean GPA of Students is less than 2.8.

H₀ : 2.8 vs H_a : < 2.8

H₀ : = 2.8 vs H_a : < 2.8

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Suppose the mean salary for assistant finance professors in the United States is believed to be...

Suppose the mean salary for assistant finance professors in the United States is believed to be $131,600. A sample of 25 professors revealed a mean salary of $142,400 . Assuming the standard deviation is $10,000, can it be concluded that the average salary has increased using a 0.02 level of significance? a. Write down the type of test you will conduct. b. Write down the null and alternative hypotheses. c. Construct the test statistic. d. Conduct the test. e. What...

Professors at a local university earn an average salary of $80,000 with a standard deviation of...

Professors at a local university earn an average salary of $80,000 with a standard deviation of $6,000. The salary distribution is approximately bell-shaped. What can be said about the percentage of salaries that are less than $68,000 or more than $92,000? a. It is about 5%. b. It is about 32%. c. It is about 68%. d. It is about 95%.

Your current salary is $52,000 per year, and you are planning to retire in 25 years...

Your current salary is $52,000 per year, and you are planning to retire in 25 years from now. She anticipates that her salary will increase $3,000 each year, and she plans to deposit 5% of her yearly salary into a retirement fund that earns 7% interest compounded daily. What will be the amount of interest accumulated at the time of your retirement?

Let x represent the average annual salary of college and university professors (in thousands of dollars)...

Let x represent the average annual salary of college and university professors (in thousands of dollars) in the United States. For all colleges and universities in the United States, the population variance of x is approximately σ2 = 47.1. However, a random sample of 18 colleges and universities in Kansas showed that x has a sample variance s2 = 80.5. Use a 5% level of significance to test the claim that the variance for colleges and universities in Kansas is...

The average salary for a random sample of 49 new (less than 3 years) professors in...

The average salary for a random sample of 49 new (less than 3 years) professors in psychology graduate departments in 2012 was $92,000. The population, all professors with all years of experience in psychology graduate departments across the country, earned an average salary of $111,960, with a standard deviation of $40,295. Did the average salary of the new full psychology professors differ from that of all psychology professors as a whole? Conduct the appropriate statistical test to answer this question....

Let x represent the average annual salary of college and university professors (in thousands of dollars)...

Let x represent the average annual salary of college and university professors (in thousands of dollars) in the United States. For all colleges and universities in the United States, the population variance of x is approximately σ2 = 47.1. However, a random sample of 14 colleges and universities in Kansas showed that x has a sample variance s2 = 82.6. Use a 5% level of significance to test the claim that the variance for colleges and universities in Kansas is...

Let x represent the average annual salary of college and university professors (in thousands of dollars)...

Let x represent the average annual salary of college and university professors (in thousands of dollars) in the United States. For all colleges and universities in the United States, the population variance of x is approximately σ2 = 47.1. However, a random sample of 17 colleges and universities in Kansas showed that x has a sample variance s2 = 82.6. Use a 5% level of significance to test the claim that the variance for colleges and universities in Kansas is...

Let x represent the average annual salary of college and university professors (in thousands of dollars)...

Let x represent the average annual salary of college and university professors (in thousands of dollars) in the United States. For all colleges and universities in the United States, the population variance of x is approximately σ2 = 47.1. However, a random sample of 20 colleges and universities in Kansas showed that x has a sample variance s2 = 85.4. Use a 5% level of significance to test the claim that the variance for colleges and universities in Kansas is...

Let x represent the average annual salary of college and university professors (in thousands of dollars)...

Let x represent the average annual salary of college and university professors (in thousands of dollars) in the United States. For all colleges and universities in the United States, the population variance of x is approximately σ2 = 47.1. However, a random sample of 16 colleges and universities in Kansas showed that x has a sample variance s2 = 79.1. Use a 5% level of significance to test the claim that the variance for colleges and universities in Kansas is...

Let x represent the average annual salary of college and university professors (in thousands of dollars)...

Let x represent the average annual salary of college and university professors (in thousands of dollars) in the United States. For all colleges and universities in the United States, the population variance of x is approximately σ2 = 47.1. However, a random sample of 15 colleges and universities in Kansas showed that x has a sample variance s2 = 85.4. Use a 5% level of significance to test the claim that the variance for colleges and universities in Kansas is...

Subjects