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Chapter 9: Q.9 (page 537)

A random survey of 75death row inmates revealed that the mean length of time on death row is 17.4years with a standard deviation of 6.3years. If you were conducting a hypothesis test to determine if the population mean time on death row could likely be 15years, what would the null and alternative hypotheses be?

a. H0: __________

b. Ha: __________

Short Answer

Expert verified

(a)H0:渭=15

(b)Ha:渭鈮�15

Step by step solution

01

Part (a) Step 1: Given information

The average length of incarceration on death row is 17.4years, with a standard deviation of 6.3years, according to 17death row convicts. The hypothesis test is to see if the average period spent on death row in the population is likely to be 15years.

02

Part (a) Step 2: Explanation

H0:The Null hypothesis: It is a statement of no difference between sample means or proportions or no difference between a sample mean or proportions and a population mean or proportion.

H0:渭=15

03

Part (b) Step 1: Given information

The average length of incarceration on death row is 17.4years, with a standard deviation of 6.3years, according to 17death row convicts.

The hypothesis test is to see if the average period spent on death row in the population is likely to be 15years.

04

Part (b) Step 2: Explanation

Ha:The alternative hypothesis: It is the claim about the population that is contradictory to H0and what we conclude when we reject H0.

Ha:渭鈮�15

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Most popular questions from this chapter

Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5years. A study was then done to see if the meantime has increased in the new century. A random sample of 26first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was 3years with a standard deviation of 1.8years. Suppose that it is somehow known that the population standard deviation is 1.5. If you were conducting a hypothesis test to determine if the mean length of jail time has increased, what would the null and alternative hypotheses be? The distribution of the population is normal.

a.Ho_______
b.Ha_______

"Untitled," by Stephen Chen

I've often wondered how software is released and sold to the public. Ironically, I work for a company that sells products with known problems. Unfortunately, most of the problems are difficult to create, which makes them difficult to fix. I usually use the test program X, which tests the product, to try to create a specific problem. When the test program is run to make an error occur, the likelihood of generating an error is1%.

So, armed with this knowledge, I wrote a new test program Y that will generate the same error that test programX creates, but more often. To find out if my test program is better than the original, so that I can convince the management that I'm right, I ran my test program to find out how often I can generate the same error. When I ran my test program50 times, I generated the error twice. While this may not seem much better, I think that I can convince the management to use my test program instead of the original test program. Am I right?

Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0. Conduct a hypothesis test, the TypeIerror is:

a. to conclude that the current mean hours per week is higher than 4.5, when in fact, it is higher

b. to conclude that the current mean hours per week is higher than 4.5, when in fact, it is the same

c. to conclude that the mean hours per week currently is 4.5, when in fact, it is higher

d. to conclude that the mean hours per week currently is no higher than , when in fact, it is not higher

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You flip a coin and record whether it shows heads or tails. You know the probability of getting heads is 50%, but you

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