Answer:
95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm)
Step-by-step explanation:
Our sample size is 11.
The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So
.
Then, we need to subtract one by the confidence level
and divide by 2. So:

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 10 and 0.025 in the two-sided t-distribution table, we have 
Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

Now, we multiply T and s
cm
For the upper end of the interval, we add the sample mean and M. So the upper end of the interval here is
cm
So
95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm).
Answer:
The probability is 169/2652
Step-by-step explanation:
The number of cards in a deck of cards is 52
In each deck of cards, there are 13 black cards and 13 spade cards
The probability of selecting a spade card will be;
13/52 = 1/4
Without replacement, we are left with 51 cards and the probability of selecting a black card will now be 13/51
So the probability of the second card being a black card if the first is spade will be ;
13/52 * 13/51
= 169/2,652
Answer:
90°
Step-by-step explanation:
as a straight line is 180°
and the angle 4 is 90 degrees it must mean that the other side is 90 degrees too
Answer:
d.a cluster sampling
Step-by-step explanation:
This plan exemplifies Cluster sampling. It is a sampling method where populations are placed into different separate groups like here into freshman, sophomore, junior, and senior classes. A random sample of these groups is then selected as here thirty students selected from each group to represent a specific population.<u> It is usually used in that type of research when there is no possible way to find information about a population as a whole.</u>
Answer:
28.26 miles
Step-by-step explanation:
Area= pi times radius squared
diameter is twice the radius so 6÷2=3miles
3 miles is the radius
So A= 3.14 × 3²
= 28.26