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Georgia [21]
3 years ago
11

The width of a confidence interval is defined to be the upper bound of the confidence interval minus the lower bound of the conf

idence interval. For example, if a confidence interval is (−2.34,9.87), then the width of this confidence interval is 9.87−(−2.34)=12.21. Assume that we are estimating the mean of a population. Assuming that the confidence coefficient, the sample mean and sample standard deviation stay the same, if we decrease the the sample size of a confidence interval from 100 to 50, then the width of that confidence interval will also decrease.True or False?
Mathematics
1 answer:
Semmy [17]3 years ago
4 0

Answer:

False

Step-by-step explanation:

Steps in calculating confidence Interval are

  1. Calculate degree of freedom by subtracting 1 from sample size that is df=sample size -1
  2. find α by subtracting confidence interval level from 1 and divide by 2
  3. Use value ot α and df to determine t from t-distribution table. From table it can be seen that the value of t increases as value of df decreases
  4. Divide standard distribution by square root of sample size. As sample size decreases this value will increase
  5. Multiple step 3 by step 4. We can say, if sample size is decreased this value will increase.
  6. For lower end , subtract step 5 from sample mean and for upper end add step 5 to sample mean.

If sample size is decrased, step 3 and step 4 will increase. As a result result obtained from step 5 will also increase. Hence, confidence interval will increase if sample size is decreased

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PLEASE HELP <br><br> I am confused on these equations
mamaluj [8]

Answer:

See below.

Step-by-step explanation:

I'll show you step by step how to do the synthetic division.

You are dividing polynomial -6x^4 + 22x^3 + 3x^2 + 15x + 20 by x - 4.

From the polynomial, you only need the coefficients in descending order of degree as they are written.

         -6    22    3    15    20

In synthetic division, you divide by x - b. You are dividing by x - 4, so b = 4.

The 4 is written to the left of the coefficients of the polynomial.

      ___________________

4   |       -6    22    3    15    20

      ___________________

This is what the setup looks like. You can see it in the problem you were given.

The first step is to just copy the leftmost coefficient straight down to below the line.

      ___________________

4   |       -6    22    3    15    20

      ___________________

             -6

Now multiply b, which is 4, by -6 and write it above and to the right.

     ___________________

4   |       -6    22    3    15    20

                    -24

      ___________________

            -6

Add 22 and -24 and write it next to -6.

     ___________________

4   |       -6    22    3    15    20

                    -24

      ___________________

             -6     -2

Multiply 4 by -2 and write it above and to the right. Add vertically.

     ___________________

4   |       -6    22     3    15    20

                    -24   -8

      ___________________

             -6     -2    -5

Multiply 4 by -5 and write it above and to the right. Add vertically.

     ___________________

4  |       -6    22     3    15    20

                    -24   -8   -10

      ___________________

             -6     -2    -5   -5

Multiply 4 by -5 and write it above and to the right. Add vertically.

     ___________________

4   |       -6    22     3    15    20

                    -24   -8   -10   -20

      ___________________

             -6     -2    -5   -5      0

The 4 numbers in the second line are the coefficients of the quotient.

The quotient is 1 degree less than the original polynomial.

The quotient is: -24x^3 - 8x^2 - 10x - 20

The last number on the third line is the remainder. Since here the reminder is zero, that means that this division has no remainder. The remainder is 0/(x - 4)

Fill in the boxes with:

-24, -8, -10, -20

-6, -2, -5, -5, 0

-24x^3 - 8x^2 - 10x - 20

0

6 0
3 years ago
Evaluate the following. -56÷7=-8?? Or is it just 8??
Svetradugi [14.3K]
The equation that you put is correct
4 0
3 years ago
Read 2 more answers
1. Charlie bought a new computer for $450 with his credit card. He plans to pay the minimum payment
atroni [7]

Given:

Charlie bought a new computer for $450 with his credit card.

He plans to pay the minimum payment  of $25 per month.

To find:

The rate of change.

Solution:

Let y be the remaining amount of loan after x months.

Initial amount of loan = $450

Payment of one month = $25

Payment of x months = $25x

Now,

Remining amount = Initial amount of loan - Payment of x months

y=450-25x     ...(i)

The slope intercept form is

y=mx+b     ...(ii)

where, m is slope and b is y-intercept.

From (i) and (ii), we get

m=-25

Therefore, the rate of change is -25 dollars.

8 0
3 years ago
Why does a calculator return an error when trying to find inverse sine of 1.055?
Rashid [163]
The calculator returns an error as the answer for the inverse sine of 1.055 because the acceptable range for sine is only from 0 to 1.00 in which 1.055 is clearly greater than. This is also the same as for the cosine values. 
5 0
3 years ago
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Lynna [10]
Simplify 3x -2x -2x = 3x + -2x + -2x  
Combine like terms: 3x + -2x + -2x = (3x + -2x +-2x) = -x 
answer is: -x
5 0
3 years ago
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