Question

Claim: The mean pulse rate​ (in beats per​ minute) of adult males is equal to 69.3 bpm. For a random sample of 140 adult​ males, the mean pulse rate is 69.8 bpm and the standard deviation is 11.2 bpm. Complete parts​ (a) and​ (b) below.

a. Express the original claim in symbolic form.
_,_,bpm

Answer 1

Part a

Null hypothesis:
`\mu = 69.3`

Alternative hypothesis:
`\mu \\eq 69.3`

Part b

`z = (69.8- 69.3)/((11.2)/(√(140)))= 0.528`

Explanation:

For this case we have the following info given :

`\bar X = 69.8` the sample mean

`n= 140` represent the sample size

`s = 11.2` represent the standard deviation

Part a

And we want to test if the true mean is equal to 69.3 so then the system of hypothesis:

Null hypothesis:
`\mu = 69.3`

Alternative hypothesis:
`\mu \\eq 69.3`

Part b: Find the statistic

The statistic is given by:

`z= (\bar X - \mu)/((\sigma)/(√(n)))`

And replacing the info we got:

`z = (69.8- 69.3)/((11.2)/(√(140)))= 0.528`