Question

Claim: The mean pulse rate​ (in beats per​ minute) of adult males is equal to 69.569.5 bpm.

For a random sample of 131131 adult​ males, the mean pulse rate is 69.969.9 bpm and the standard deviation is 11.311.3 bpm. Complete the parts​ below.
(a) Express the original claim in symbolic form.
(b) Identify the null and alternative hypotheses.

Answer 1

a)
`\mu =69.5`

b) Null hypothesis:
`\mu =69.5`

Alternative hypothesis:
`\mu \\eq 69.5`

And we can use a t test procedure in order to check if the true mean is equat to the desired value.

Explanation:

For this case we know that this:

Claim: The mean pulse rate​ (in beats per​ minute) of adult males is equal to 69.5 bpm

Part a

If we convert this with symbols we can write this as:

`\mu =69.5`

Part b

We have the following info given:

`\bar X= 69.9` represent the sample mean

`n =131` represent the sample size

We have the following system of hypothesis:

Null hypothesis:
`\mu =69.5`

Alternative hypothesis:
`\mu \\eq 69.5`

And we can use a t test procedure in order to check if the true mean is equat to the desired value.