Question

9. A random survey of $75$death row inmates revealed that the mean length of time on death row is$17.4$years with a standard deviation of$6.3$years. If you were conducting a hypothesis test to determine if the population mean time on death

row could likely be$15$years, what would the null and alternative hypotheses be?

a. $H_0$: __________

b. $H_a$: __________

Short answer

a. $H_0:\mu \le 12$

b. $H_a:\mu >12$

Step-by-step solution

Given Information

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

$H_0:\mu \le 12$

Explanation part a

$H_0$: The null hypothesis states that no difference exists between sample means or proportions, or between a sample mean or proportions and the population mean or percentage.

$H_0:\mu \le 12$

Explanation part b

$H_a$The alternate theory is this: It is the population assertion that contradicts $H_0$, and it is what we conclude when we reject$H_0$.

the alternate hypothesis is

$H_a:\mu >12$

Conclusion

For the above data, the null and alternative hypotheses are provided by:

$H_0:\mu \le 12$

$H_a:\mu >12$