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
suter [353]
3 years ago
13

The mean of the sample is 24.444 squares with a standard deviation of 2.45 squares. Single-ply toilet paper requires 26 squares

to absorb one-quarter cup of water. Josh would like to carry out a test to determine if there is convincing evidence that the mean number of squares of Fluffy that are needed to absorb one-quarter cup of water is fewer than 26 squares. What is the appropriate test statistic and P-value of this test?
Mathematics
1 answer:
Romashka [77]3 years ago
4 0

Answer:

t = -2.69 , p = 0.0078

Step-by-step explanation:

We have the following data:

Sample Mean = x = 24.444

Sample Standard Deviation = s = 2.45

Sample size = n = 18

Josh wants to test that mean number is lesser than 26. So our test value is 26 i.e.

u = 26

Since Josh wants to test that mean would be fewer than 26, so this would be a left tailed test with a less than sign in Alternate Hypothesis. Therefore, the hypothesis would be:

H_{o}: u\geq 26\\H_{a}: u

Since, we do not know the value of Population standard deviation, and we have the value of sample standard deviation, we will use One-Sample t-test for the population mean.

The formula to calculate the test-statistic would be:

t=\frac{x-u}{\frac{s}{\sqrt{n}}}

Substituting the values in this formula gives us:

t=\frac{24.444-26}{\frac{2.45}{\sqrt{18}}}\\t=-2.69

This means, the test statistic would be -2.69

Since, the sample size is 18, the degrees of freedom would be:

Degrees of freedom = df = n - 1 = 17

To find the p-value we need to check the p-value against test statistic of 2.69, with 17 degrees of freedom and One-tailed test. This value comes out to be:

p-value = 0.0078

Therefore, the correct answer would be:

t = -2.69 , p = 0.0078

You might be interested in
% ____of $10 = $1<br> Helppppppo
Len [333]
10% is equal to $10 = $1
7 0
3 years ago
Pls write down your reaction to the algebraic magic trick note I already did it I just need your reaction and pls no links also
valentinak56 [21]
Hdbbsnaknabdbdjrnwkqonf fnjfjkew
4 0
2 years ago
5. 6(2+ y)=3(3- y)<br> Help
Maurinko [17]

Answer:

Step-by-step explanation:

4 0
3 years ago
Rita is thinking of two numbers. Adding 4 times the first number and 9 times the second number gives a total of 1. Also, adding
charle [14.2K]

Answer:

first number is negative 2, second is 1

Step-by-step explanation:

-2×4= -8 1×9=9

-8+9=1

-2×4= -8 1×6=6

-8+6= -2

hope this helped

6 0
3 years ago
HELP ME, FEE BWAINLY
victus00 [196]

Answer:

2w-5 > (with an underline that means more than or equal to) 18

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • Between what two integers does -√75 lie? To which is the value of -√75closer?
    8·1 answer
  • 3w + 7=8 need help with this
    13·1 answer
  • Pentagon ABCDE ~ Pentagon FGHIJ. If CD=14, DE=19, and IJ=42, what is the length of HI.
    14·1 answer
  • To control pollination, pollen-producing flowers are often removed from the top of corn in a process called detasseling. The hou
    15·1 answer
  • PLEASE HELP ME I DONT UNDERSTAND.
    5·2 answers
  • Which of the following is equal to 4 2/3 / 3 1/2?(If you think its the answer I picked in the picture, its not) Thank you so muc
    14·2 answers
  • Bob will run at least 28 miles this week. So far, he has run 18 miles. What are the possible numbers of additional miles he will
    15·1 answer
  • 20 points! will mark brainliest!
    7·1 answer
  • A window in the shape of a parallelogram has the dimensions given.
    10·2 answers
  • I reallly need help plss -m=5-plssss
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!