All categories

2 years ago

Assume that we want to construct a confidence interval. Do one of the following, as appropriate:

Mathematics

1 answer:

zhannawk [14.2K]2 years ago

3 0

Answer: Option 'a' is correct.

Step-by-step explanation:

To construct a confidence interval, we have four steps to do:

1) Recognise the sample statistic by calculating the sample mean and sample variance.

2) Recognise the confidence level i.e. 90%, 95% etc.

3) Calculate the margin of error :

As we know that Margin of error = Critical value × Standard deviation

Now, critical value in case of t - test,

$t_{\frac{\alpha}{2},v}$

4) find the confidence interval which is given below:

Confidence interval = Margin of error + Sample statistics

So, Option 'a' is correct.

You might be interested in

Karen gaines invested $15,000 in a money market account with an interest rate of 2.25% compounded semiannually. Five years later

fredd [130]

Answer:

years later , karen withdrew the full amount to put toward the down payment on a new house. How much did she withdraw? ... gaines invested $15,000 in a money market account with an interest rate of 2.75% compounded semiannually. ... Median response time is 34 minutes and may be longer for new subjects.

6 0

2 years ago

Let the probability of success on a Bernoulli trial be 0.26. a. In five Bernoulli trials, what is the probability that there wil

andreyandreev [35.5K]

Answer:

0.3898 = 38.98% probability that there will be 4 failures

Step-by-step explanation:

A sequence of Bernoulli trials forms the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Let the probability of success on a Bernoulli trial be 0.26.

This means that $p = 0.26$

a. In five Bernoulli trials, what is the probability that there will be 4 failures?

Five trials means that $n = 5$

4 failures, so 1 success, and we have to find P(X = 1).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{5,1}.(0.26)^{1}.(0.74)^{4} = 0.3898$

0.3898 = 38.98% probability that there will be 4 failures

4 0

2 years ago

Eight friends share 2 pumpkin pies equally. What fraction of a pumpkin pie does each friend get?

Pachacha [2.7K]

Answer:

1/4 of a pie

Step-by-step explanation:

2 / 8 = 1/4

6 0

3 years ago

2m·4b−3a·2n−0.2b·5m+n·5a−5bm+8an

cupoosta [38]

Answer:

2bm + 7an

Step-by-step explanation:

Multiply.

8bm - 6an - bm + 5an - 5bm + 8an

Combined like terms:

8bm - 6an - bm + 5an - 5bm + 8an

= 2bm + 7an

8 0

3 years ago

Determine whether LINE AB and LINE CD are parallel, perpendicular, or neither. A(−1, −4) , B(2, 11) , C(1, 1) , D(4, 10) ( write

Luba_88 [7]

Step-by-step explanation:

Hey there!

The points of line AB are; (-1,-4) and (2,11).

Note:

Use double point formula and simplify it to get two eqaution.
Use condition of parallel lines, perpendicular lines to know whether the lines are parallel or perpendicular or nothing.