What is the alternative hypothesis for a null hypothesis stating that the average time a person keeps a cell phone is at most three years. Answer: Ha: mu > 3 State the null and alternative hypotheses for the following: You are investigating a complaint that "special delivery mail takes too much time" to be delivered.
Ho: Delivery time ≤ expectations
Ha: Delivery time > expectations
state the null and alternative hypothesis for the following: You are investigating a complaint that "special delivery mail takes to much time to be delivered
To formulate the null and alternative hypotheses for the complaint that "special delivery mail takes too much time" to be delivered, we need to consider the directionality of the complaint.
Null hypothesis (H0): The average time for special delivery mail to be delivered is equal to or less than the acceptable time limit.
Alternative hypothesis (Ha): The average time for special delivery mail to be delivered is greater than the acceptable time limit.
So, in statistical terms:
H0: μ ≤ Acceptable Time Limit
Ha: μ > Acceptable Time Limit
Note that the null hypothesis always includes the equality sign (≤ or =) while the alternative hypothesis reflects the directionality of the claim made in the complaint. In this case, the complaint suggests that the average time for special delivery mail to be delivered is too long, indicating a need to investigate if it exceeds the acceptable time limit, thus resulting in a one-tailed alternative hypothesis with the ">" sign indicating "greater than."