Answer:
The 95% confidence interval for the difference is (-0.1888, 0.0202).
Step-by-step explanation:
Difference between proportions:
The distribution of the difference between two proportions has mean of the difference between these proportions and standard deviation is the square root of the sum of the variances. So
In a sample of 86 units made with gold wire, 68 met the specification
This means that:


In a sample of 120 units made with aluminum wire, 105 met the specification.
This means that:


Difference:


Confidence interval:

In which z is the zscore that has a pvalue of
, with
being 1 subtracted by the confidence level.
95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
Lower bound of the interval:

Upper bound of the interval:

The 95% confidence interval for the difference is (-0.1888, 0.0202).
Answer:

Step-by-step explanation:
If we observe the given sequence, we find that the ratio of two consecutive terms is the same. i.e.

Such a sequence in which the ratio of consecutive terms remain the same is know as Geometric Sequence. Following formula is used to represent a Geometric Sequence:

Here:
is the general term. Using the value of n =1,2,3 ... will give us the term of the sequence.
is the first term which is 1.2 in this case.
r represents the common ratio which is 2.5.
Using these values we get:

This formula can be used to represent the given sequence.
Answer:
850000
Step-by-step explanation:
0\/4,round down.
5/\9,round up
2 / 4 = 0.5
The cost of one apple is $0.50!