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
photoshop1234 [79]
3 years ago
9

The paint used to make lines on roads must reflect enough light to be clearly visible at night. Let mu denote the true average r

eflectometer reading for a new type of paint under consideration. A test of
H0:μ=20 versus Ha:μ is greater than 20 will be based on a random sample of size n from a normal population distribution. What conclusion is appropriate in each of the following situations? (Round your P-values to three decimal places.)
a. n = 17, t = 3.1, α=0.05
State the conclusion in the problem context.
A. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.
B. Reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.
C. Do not reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.
D. Reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.
b. n = 10, t = 1.8, α=0.01
State the conclusion in the problem context.
A. Do not reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.
B. Reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.
C. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.
D. Reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.
c. n = 24, t = -0.4, p-value =
Mathematics
1 answer:
Sophie [7]3 years ago
5 0

Answer:

a) D. Reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.

b) C. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.

Step-by-step explanation:

a) We have a hypothesis test with the following hypothesis:

H_0: \mu=20\\\\H_a:\mu> 20

The significance level is 0.05 for this right-tailed test.

The sample size is n=17.

This means we have 16 degrees of freedom.

df=n-1=17-1=16

The test statistic has already been calculated and has a value of t=3.1.

This test is a right-tailed test, with 16 degrees of freedom and t=3.1, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t>3.1)=0.0034

As the P-value (0.0034) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

At a significance level of 0.05, there is enough evidence to support the claim that the new paint has a reflectometer reading higher than 20.

b. The hypothesis are the same as point a:

H_0: \mu=20\\\\H_a:\mu> 20

The degrees of freedom for this sample size are:

df=n-1=10-1=9

The significance level is 0.01.

The test statistic has already been calculated and has a value of t=1.8.

This test is a right-tailed test, with 9 degrees of freedom and t=1.8, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t>1.8)=0.0527

As the P-value (0.0527) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

At a significance level of 0.01, there is not enough evidence to support the claim that the new paint has a reflectometer reading higher than 20.

You might be interested in
Please help!! Will give brainliest and more points!
Semenov [28]

Answer:

The Last Option

Step-by-step explanation:

Hope This Helps! :)

8 0
3 years ago
The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap cost $1 and the chicken wrap cost$1.8
vfiekz [6]
Let us assume the number of vegetarian wraps made = x
Let us assume the number of chicken wraps made = y
Then
x + y = 70
x = 70 - y
And
x + 1.80y = 98.80
Putting the value of x from the first equation in the second equation, we get
x + 1.80y = 98.80
70 - y + 1.80y = 98.80
0.80y = 28.80
y = 36
Putting the value of y in the first equation, we get
x + y = 70
x + 36 = 70
x = 34
From the above deduction, we can conclude that the number of vegetarian warps sold was 34. I hope the answer has come to your desired help.
6 0
3 years ago
What number is 60% of 85
ZanzabumX [31]
If you would to solve 60% of 85 is what number, you can calculate this using the following steps:

60% of 85 is x
60% * 85 = x
x = 60% * 85 = 60/100 * 85 = 51

Result: 60% of 85 is 51.
8 0
2 years ago
Read 2 more answers
DEF is a dilation image of ABC. What is the scale factor?
horsena [70]

Answer:

Option (2)

Step-by-step explanation:

ΔDEF is a dilation image of ΔABC.

Rule for the dilation,

Scale factor = \frac{\text{Length of one side of the image triangle}}{\text{Length of one side of the original triangle}}

                    = \frac{DE}{AB}

                    = \frac{4}{8}

                    = \frac{1}{2}

Therefore, scale factor by which ΔABC is dilated is \frac{1}{2}.

Option (2) will be the correct option.

7 0
2 years ago
Help somebody thanks .
Fudgin [204]
It’s going to be 6 units
7 0
2 years ago
Other questions:
  • What is 24/30 written as a decimal
    10·2 answers
  • PLEASE HURRY I NEED AND ANSWER NOW
    6·1 answer
  • Aleka had a box for keepsakes that has a volume of 576 cubic inches. The length of the box is 12 inches and the width is 8 inche
    14·1 answer
  • C. is this the transfer function of a causal system? justify your answer. 3. a circuit is shown below.
    9·1 answer
  • Bruce bought 3 2/5 lb of ground beef to make hamburgers to grill out of barbecue how many 1/4 pounds of hamburgers can he make
    14·1 answer
  • The work of a student to find the dimensions of a rectangle of area 8 + 16x and width 4 is shown below:
    13·1 answer
  • Number 5. I neeed the answer please and thankyou
    9·2 answers
  • How is solving literal equations like solving equations in one variable
    8·2 answers
  • Find sing and sin G.<br> 96<br> 28<br> 100
    11·1 answer
  • PLS ANSWER
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!