Answer:
The required confidence interval is (3.068,4.732)
Step-by-step explanation:
Consider the provided information.
He plans to use a 90% confidence interval. He surveys a random sample of 50 students. The sample mean is 3.90 alcoholic drinks per week. The sample standard deviation is 3.51 drinks and wants to construct 90% confidence interval.
Thus, n=50, 
=3.90 σ=3.51
Now find degree of freedom.
The confidence level is 90% and df=49
Therefore,
Now by using t distribution table look at 49 df and alpha level on 0.05.
Calculate SE as shown:
Now multiply 1.67653 with 0.4964
Therefore, the marginal error is: 1.67653 × 0.4964≈ 0.832
Now add and subtract this value in given mean to find the confidence interval.
Hence, the required confidence interval is (3.068,4.732)
Answer:
55,000
Step-by-step explanation:
I already explained it on another problem but I'll show the equation again.
0.74x = 40,700
x = 55,000
Answer:
[-1,5]
Step-by-step explanation:
all reals between -1 and 5
<span>As x approaches positive infinity, f(x) approaches negative infinity, since the graph goes down</span>
Answer:
Union and Intersection
Step-by-step explanation:
We know that the algebra of sets define the properties and laws of the sets.
The basic operations of sets are,
Union, Intersection, Complement of a set and Equality of sets.
Since, the operations addition, subtraction, multiplication and division are the basic arithmetic operations of numbers.
i.e. they are not in the algebra of sets.
So, we get that out of the given options, the operations in algebra of sets are Union and Intersection.
