Answer:
a
The upper bound of the 99% prediction level is
b
The 95% confidence interval is
Step-by-step explanation:
Considering first question
From the question we are told that
The sample size is n = 30
The sample mean is 
The standard deviation is 
Generally the degree of freedom is mathematically represented as

=> 
=> 
From the question we are told the confidence level is 99% , hence the level of significance is

=> 
Generally from the t distribution table the critical value of at a degree of freedom of is

Generally the 99% prediction level is mathematically represented as
![\= x \pm [(t_{\alpha , df }) * s * (\sqrt{1 + \frac{1}{ n} } )}]](https://tex.z-dn.net/?f=%5C%3D%20x%20%5Cpm%20%5B%28t_%7B%5Calpha%20%20%2C%20df%20%7D%29%20%2A%20s%20%2A%20%28%5Csqrt%7B1%20%2B%20%5Cfrac%7B1%7D%7B%20n%7D%20%7D%20%29%7D%5D%20)
Generally the upper bound of the 99% prediction level is mathematically represented as
=>
=>
Considering second question
Generally the sample is mathematically represented as

=>
=>
Generally the standard deviation is mathematically represented as

=> 
=> 
Generally the degree of freedom is mathematically represented as

=> 
=> 
From the question we are told the confidence level is 95% , hence the level of significance is

=> 
Generally from the t distribution table the critical value of at a degree of freedom of is

Generally the margin of error is mathematically represented as

=> 
=> 
Generally 95% confidence interval is mathematically represented as
=>
=>