Question

Identifying $H_0$and $H_1$. In Exercises 5–8, do the following:

a. Express the original claim in symbolic form.

b. Identify the null and alternative hypotheses.

Pulse Rates Claim: The mean pulse rate (in beats per minute, or bpm) of adult males is equal to 69 bpm. For the random sample of 153 adult males in Data Set 1 “Body Data” in Appendix B, the mean pulse rate is 69.6 bpm and the standard deviation is 11.3 bpm.

Short answer

a. The original claim in symbolic form is written in the following manner:

$\mu =69\text{bpm}$

b. The null hypothesis and the alternative hypothesis are as follows:

$H_0:\mu =69$

$H_1:\mu \ne 69$

Step-by-step solution

Given information

For a sample of 153 adult males, the mean pulse rate is equal to 69.6 bpm, and the standard deviation is equal to 11.3 bpm.

Original claim

a.

It is claimed that the mean pulse rate of adult males is equal to 69 bpm.

Symbolically, the claim would be $\mu =69\text{bpm}$, where $\mu$is the mean pulse rate of adult males.

Hypotheses

b.

Null hypothesis: The mean pulse rate of adult males is equal to 69 bpm.

$H_0:\mu =69$

Alternative hypothesis: The mean pulse rate of adult males is not equal to 69 bpm.

$H_1:\mu \ne 69$