<span>(a) 2.09302406
(b) Lower limit of 95% confidence interval = 185.85
(a) To get the t-score, first determine the number of degrees of freedom you have. That's simply the number of samples minus 1, so in this case we have 19 degrees of freedom. Then calculate (1-0.95)/2 = 0.05/2 = 0.025 which is the size of the tail for the confidence interval you want. Finally, lookup in a T-Distribution Table for the 19 degrees of freedom and tail size. The value looked up will be 2.09302406.
(b) Once you have the t-score, to calculate your desired interval, calculate the following:
V = T*SD/sqrt(n)
where
V = Variance
T = T-score
SD = Standard deviation
n = number of samples
So let's plug in the values and calculate V
V = T*SD/sqrt(n)
V = 2.09302406*21.02/sqrt(20)
V = 2.09302406*21.02/4.472135955
V = 43.99536574/4.472135955
V = 9.837662849
Your 95% confidence interval is now the mean +/- V. So
lower limit = 195.69 - 9.84 = 185.85
upper limit = 195.69 + 9.84 = 205.53</span>
Answer:
The vertical depth travelled by the dolphin = 36 feet
Step-by-step explanation:
The dolphin is a fish that can jump out of the water and therefore it is used in circus shows and exhibitions.
Initially the dolphin is at a depth of 28 feet deep inside the water surface.It comes to water surface and then jumps out of the water to a height of 8 feet.
The vertical distance travelled by the dolphin can be found by taking the difference of final height and initial depth.
Vertical depth = final height - initial depth
= 8 - (-28)
= 36 feet
The vertical depth travelled by the dolphin = 36 feet
Answer:
2
Step-by-step explanation:
u can see by the months because go by November and December
ANSWER:
At most Naomi can have 7 attendees
EXPLAIN:
7x7= 49 so her budget is perfect for 7 people
Answer:
7/60
Step-by-step explanation:
7/8 times 1/3 is 7/24.
Then, 7/24 times 2/5 is 7/60
When multiplying fractions you just multiply across. For example, 7/8 times 1/3. 7 times 1 is 7 and 8 times 3 is 24. So, 7/8 times 1/3 is 7/24.
Hope this helps :)
