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Blizzard [7]
3 years ago
12

Determine the critical value(s) of the test statistic for each of the following small sample tests for the population mean where

the assumption of normality is satisfied. Round your answer to four decimal places.
Step 1 of 3:

Left-tailed test,α=0.01,n=19

Step 2 of 3:

Right-tailed test ,α=0.1,n=13

Step 3 of 3:

Two-tailed test, α=0.05,n=17
Mathematics
1 answer:
Fiesta28 [93]3 years ago
6 0

Answer:

Step 1  t  = - 2.552

Step 2 t   =  1.356

Step 3  two values     t  =  - 2.12 on the left   and   t = 2.12 on the right

Step-by-step explanation:

Normal Distribution

size sample  < 30

Table to use  t-student table

a)  left-tailed test       α  =  0,01            n = 19      gl   = 19 -1      gl = 18

Directly from  t table      

t  = - 2.552

b) Right-tailed test     α  = 0,1     n  = 13     gl  = 13 - 1    gl =12

Directly from  t table

t  = 1.356

c)  Two-tailed test   α  = 0,05   but two tails means   we use α/2

    α/2  =  0,025    n = 17   gl  = n - 1   gl  = 17  -1     gl  = 16

From table:

t =  - 2.12  on the left tail  and  t = 2.12 on the right tail

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Step-by-step explanation:

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Determine whether the graph represents a proportional relationship.
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8 0
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SOMEONE PLEASE HELP MEEE!!!! HOW DO YOU DO THIS
UkoKoshka [18]

Answer:

A. 162 m²

Step-by-step explanation:

==>Given:

Isosceles trapezoid with:

base a = 19m

base b = 35m

Perimeter = 74meters

==>Required:

Area of trapezoid

==>Solution:

Recall: the length of the legs of an isosceles trapezoid are equal.

Perimeter of isosceles trapezoid = sum of the parallel sides + 2(length of a leg of the trapezoid)

Let l = leg of trapezoid.

Perimeter = 74m

Sum of parallel sides = a+b = 19+35 = 54m

Thus,

74 = 54 + 2(l)

74 - 54 = 2(l)

20 = 2(l)

l = 20/2 = 10m

Let's find area:

Area = ½(a+b)*h

a = 19

b = 35

h = ?

Using Pythagorean theorem, let's find h as follows:

h² = l² - [(35-19)/2)²

h² = 10² - [16/2]²

h² = 100 - 64

h² = 36

h = √36 = 6m

Area = ½ x (a+b) × h

= ½ × (19+35) × 6

= ½ × 54 × 6

= 27 × 6

Area = 162m²

6 0
3 years ago
Solve: 3n - 6 = -8(6 +5n)<br> and explain how to solve it
hjlf

Answer:

Step-by-step explanation:

First use distributive property: a(b + c) = a*b + a*c

3n - 6 = -8(6 + 5n)

3n - 6 = 6 * (-8) + 5n *(-8)

3n - 6 = -48 - 40n

Now add 40n to both sides

3n - 6 + 40n = -48 - 40n + 40n

43n - 6 = -48

Now add 6 to both sides

43n - 6 + 6 = -48 + 6

           43n = -42

               n = -42 /43

4 0
3 years ago
Read 2 more answers
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