Question

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. H0: __________

b. Ha: __________

Short answer

The null and alternative hypotheses are $H_0:\mu =15$years and

${\mathrm{H}}_{\mathrm{a}}:\mu \ne 15$ years respectively.

Step-by-step solution

introduction

The null hypothesis of a test generally predicts no impact or no connection between factors, while the alternative hypothesis expresses your exploration forecast of an impact or relationship.

explanation

Given,

number of death row inmates$n$=$75$

$\stackrel{-}{x}$= mean length of time on death row is$17.4$years

standard deviation =$6.3$years

Hypothesized mean $\mu =15$years

we get,

Null hypothesis$H_0:\mu =15$death row mean time $=15$years and the alternative hypothesis ${\mathrm{H}}_{\mathrm{a}}:\mu \ne 15$death row mean time is not$15$years.