1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Aneli [31]
3 years ago
13

A sample of 64 observations has been selected to test whether the population mean is smaller than 15. The sample showed an avera

ge of 14.5 and a standard deviation of 4.7. You want to test this hypothesis at 95% level of confidence using the critical value approach. First, compute the critical value and the test statistics associated with this test. Second, compute the difference between the test statistic and the critical value (test statistic - critical value). What is this difference
Mathematics
1 answer:
KengaRu [80]3 years ago
8 0

Answer:

Test statistic = - 0.851063

- 2.520463

Step-by-step explanation:

H0 : μ ≥ 15

H1 : μ < 15

Sample mean, xbar = 14.5

Sample standard deviation, s = 4.7

Sample size = 64

Teat statistic :

(xbar - μ) ÷ (s/√(n))

(14.5 - 15) ÷ (4.7/√(64))

= - 0.851063

The critical value at α = 0.05

Using the T - distribution :

Degree of freedom, df = 64 - 1 = 63

Tcritical(0.05, 63) = 1.6694

Test statistic - critical value

-0.851063 - 1.6694

= - 2.520463

You might be interested in
A jar has 570 marbles of different colors.The ratio of red to blue marbles are 2:3 and red to green is 4:5.how many marbles of e
iVinArrow [24]

Answer:

The number of red marbles = 152

The number of blue marbles = 228 and

the number of green marbles = 190

Step-by-step explanation:

Let x be the number of red marbles, y be the number of blue marbles and z be the number of green marbles.

It is given that the total marbles = 570.

Therefore, x + y + z = 570 --- (1)

It is also given that the ratio of red to blue marbles is 2 : 3.

Therefore, x : y = 2 : 3

or 3x = 2y --- (2)

It is also given that the ratio of red to green marbles is 4 : 5.

Therefore, x : z = 4 : 5

or 5x = 4z --- (3)

From (2), y=\frac{3x}{2}

From (3), z=\frac{5x}{4}

Substituting the above in (1), we get,

x+\frac{3x}{2} +\frac{5x}{4} =570

Multiply both sides by 4.

4x + 6x + 5x = 2280

15x = 2280

Divide both sides by 15.

x = 152

Hence,

y = \frac{3(152)}{2}

y = 228

z = \frac{5(152)}{4}

z = 190

Therefore,

The number of red marbles = 152

The number of blue marbles = 228 and

the number of green marbles = 190

<u>Check:</u>

Total number of marbles = 152 + 228 + 190 = 570

Ratio of red to blue marbles = 152 : 228 = 2 : 3

Ratio of red t green marbles = 152 : 190 = 4 : 5


8 0
3 years ago
Can u guys help me on this?
Nadusha1986 [10]

Answer:

r = 6 m

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

Substitute in what we know

37.68 = 2 * 3.14 * r

37.68 = 6.28 r

Divide each side by 6.28

37.68/6.28 = 6.28 r/6.28

6 = r

7 0
3 years ago
Please help asap I'm not sure how much time I have
BlackZzzverrR [31]
Tan 37,4 = opposite/adjacent

tan 37,4 = x/12,8
• then multiply both sides by 12,8

12,8tan 37,4 = x
Therefore x = 9, 79 x 100
= 97, 86
= 100
( I guess that’s how you can round it to the nearest hundred, please correct me if I’m wrong)

Second one:

8 0
3 years ago
What is lcm between 24 and 22
brilliants [131]
Answer should be 264
6 0
2 years ago
Quadrilateral ABCD is the result of a translation of
skad [1K]

Answer:

The corresponding segments AB and DC in the image are parallel.

Step-by-step:

It already tells us that segment QR is parallel to segment TS. So now the only segments left are segments AB and DC. Now look at segments AB and DC, do they look parallel? Yes, they do.

And that's how I got my answer. Even further, I took the test and got it right.

Your welcome. ;)                                                    

6 0
3 years ago
Other questions:
  • The points L(10,9) M(10,-5) N(-1,-5) and O(-1,9)  form rectangle L M N O Which point is halfway between O and N.
    8·1 answer
  • What conclusion can be derived by comparing the central tendencies of the two data sets?
    8·1 answer
  • What is greater -4 in a half or -7?
    11·1 answer
  • Jenny is trimming the edge of pillows with lace. Each pillow requires 15 inches of lace. She has one piece of lace that is 3 fee
    10·1 answer
  • Name 2 strategies that you can use to find the area of a shape​
    10·2 answers
  • If using the method of completing the square to solve the quadratic equation x2+14x-14=0, which number would have to be added to
    8·1 answer
  • What is the volume of this composite solid?<br> 2 m<br> 8 m<br> 3 m<br> 5 m
    14·2 answers
  • Please help if not that’s fine no nonsense
    8·1 answer
  • If radius is = 20cm and height = 84 cm what will be the slant height
    15·1 answer
  • a car reduced its speed in a ratio of 2 to 3 if the final speed was 90 km per hour then what was the original speed.​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!