Answer:
Where
and 
Since the distribution for X is normal then the distribution for the sample mean is also normal and given by:



So then is appropiate use the normal distribution to find the probabilities for 
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean". The letter
is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: 
Solution to the problem
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where
and 
Since the distribution for X is normal then the distribution for the sample mean
is also normal and given by:



So then is appropiate use the normal distribution to find the probabilities for 
Answer: 160.4040
Step-by-step explanation:
Here , the claim is "The standard deviation of pulse rates of adult males is more than 11 bpm." , i.e. 
We use Chi-square test statistic for the test statistic to test the standard deviations :
, where s= sample standard deviation ,
= population standard deviations and n = sample size.
As per given , n=153 , s= 11.3
Then, Required test statistic will be :

Hence, the value of the test statistic. = 160.4040
Answer:
-1/2
Step-by-step explanation:
the slope of the first line is 2
to get the line perpendicular, you swap the numerator and denominator, then if positive make negative and the other way around
Answer:
yeet
Step-by-step explanation: