Answer:
Part (A): The correct option is true.
Part (B): The null and alternative hypothesis should be:

Step-by-step explanation:
Consider the provided information.
Part (A)
A random sample of 100 students from a large university.
Increasing the sample size decreases the confidence intervals, as it increases the standard error.
If the researcher increase the sample size to 150 which is greater than 100 that will decrease the confidence intervals or the researcher could produce a narrower confidence interval.
Hence, the correct option is true.
Part (B)
The researcher wants to identify that whether there is any significant difference between the measurement of the blood pressure.
Therefore, the null and alternative hypothesis should be:

If there are no answer choices, I'll give you a few to work with:
16:52 (divide each number by 3 to get this)
8:26 (divide the above by 2, both sides)
4:13 (divide the above by 2, both sides)
96:312 (multiply the original by 2, both sides)
I think you get the gist.
~Hope this helps!
Answer:
23182 or 23181.5109105
Step-by-step explanation:
answer: 1 over 165 step by step: #1 Evaluate the power 5 to the power of 1= 5 because any expression raised to the power of 1 if u asking what's is an expression the expression is five and together is 5 to the power of 1) #2 if a term like five doesn't have a exponent the exponent is 1) #3 remove the parathesis ) #4 subtract 1 and -2 u get 1 over 5 to the power of -4 and 5 to the power of negative four is 1 over 165) the second I don't know