Step 1: Find the standard error (SE)
The standard error is given by
![SE=\frac{s}{\sqrt[]{n}}](https://tex.z-dn.net/?f=SE%3D%5Cfrac%7Bs%7D%7B%5Csqrt%5B%5D%7Bn%7D%7D)

In this case,

Therefore,
![SE=\frac{0.76}{\sqrt[]{74}}\approx0.0883](https://tex.z-dn.net/?f=SE%3D%5Cfrac%7B0.76%7D%7B%5Csqrt%5B%5D%7B74%7D%7D%5Capprox0.0883)
Step 2: Find the alpha level (α)


Step 3: Find the critical probability (P*)

Therefore,

Step 4: Find the critical value (CV)
The critical value the z-score having a cumulative probability equal to the critical probability (P*).
Using the cumulative z-score table we will find the z-score with value of 0.995
Hence,

Step 5: Find the margin of error (ME)

Therefore,

Step 6: Find the confidence interval (CI)

Therefore,

Hence there is a 99% probability that the true mean will lie in the confidence interval
(16.8725, 17.3275)
Answer:
aₙ= 47 -3n
Step-by-step explanation:
44, 41, 38, 35, 32
This is AP with 1st term of 44 and common difference of -3
nth term of this AP:
- aₙ= a₁+(n-1)d= 44+(n-1)*(-3)= 44 - 3n+3= 47-3n
Answer:
5
Step-by-step explanation:
-2 - (-7)
you have to do the opposite of the sign and switch the last number from neg to pos
2 dvds = 3cds($13.20 a piece)
2dvds = 39.60
2x = 39.60 Divide by 2 on both sides
x = 19.80 (the price of one dvd)
Answer:
t=-19/7
Step-by-step explanation:
you need to isolate for t which means you need to get t all alone on one side of the equation. Do do that you can divide both sides by 7. This gives you -19/7=7t/7
we know that anything divided by itself is 1 so we get -19/7=t
This is the simplest for because 19 and 7 are both prime numbers, so you can't simplify them.