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
marysya [2.9K]
2 years ago
15

A data set includes data from 500 random tornadoes. The display from technology available below results from using the tornado l

engths? (miles) to test the claim that the mean tornado length is greater than 2.6 miles. Use a 0.05 significance level. Identify the null and alternative? hypotheses, test? statistic, P-value, and state the final conclusion that addresses the original claim. LOADING... Click the icon to view the display from technology. What are the null and alternative? hypotheses?
Hypothesis test? results:

mu?

?: Mean of variable
H0

? :
mu?equals=2.62.6

HA

? :
mu?greater than>2.62.6

Variable

Sample Mean

Std. Err.

DF

?T-Stat

?P-value

Length

3.236013.23601

0.2851850.285185

499499

2.2301662.230166

0.01310.0131

A. Upper H0?: mu ? < 2.6 miles Upper H 1?: mu ? equals = 2.6 miles

B. Upper H0?: mu ? equals = 2.6 miles Upper H1?: mu ? not equals ? 2.6 miles

C. Upper H0?: mu ? equals =2.6 miles Upper H1?: mu ? less than <2.6 miles

D. Upper H0?: mu ? equals = 2.6 2.6 miles Upper H 1 H1?: mu ? > 2.6 miles

Identify the test statistic. nothing ?(Round to two decimal places as? needed.)

Identify the? P-value. nothing ?(Round to three decimal places as? needed.) State the final conclusion that addresses the original claim.

? (Fail to reject, Reject) Upper H0. There is ?( sufficient, not sufficient) evidence to support the claim that the mean tornado length is greater than 2.6 miles
Mathematics
1 answer:
lisov135 [29]2 years ago
6 0

Answer:

The null and alternative hypothesis are:

H_0:\mu =2.6\\H_a:\mu >2.6

There is sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles

Step-by-step explanation:

Consider the provided information.

The claim that the mean tornado length is greater than 2.6 miles.

If there is no statistical significance in the test then it is know as the null which is denoted by H_0, otherwise it is known as alternative hypothesis which denoted by H_a.

Therefore, the required null and alternative hypothesis are:

H_0:\mu =2.6\\H_a:\mu >2.6

significance level α =0.05

From the given table the test statistic T=2.230166

P-value is 0.0131

0.0131<0.05

P value is less than the significance level, so reject the null hypothesis.

There is sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles

You might be interested in
Solve for x.<br><br> -5(x – 4) = -30<br><br> Enter your answer in the box.<br><br> x =
Svetlanka [38]

Answer:

- 5(x - 4) = 30

- 5x + 20 = 30

- 5x = 30 - 20 = 10

x = 10  \div - 5

x =  - 2

3 0
2 years ago
Read 2 more answers
Find the values of m and b.<br> M=<br> B=
Stella [2.4K]

Answer:

M= -3

B=6

Step-by-step explanation:

6-0=6

0-2=-2

=3

4 0
3 years ago
Look at this cylinder:
Sedbober [7]
  • Height=h=8cm
  • Radius=r=4cm

We know

\boxed{\sf \star TSA_{(Cylinder)}=2\pi r(h+r)}

\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=2\times \dfrac{22}{7}\times 4(8+4)

\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=\dfrac{176}{7}(12)

\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=\dfrac{2112}{7}

\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=301.7cm^2

Now

  • New Radius=2(4)=8cm
  • New Height=2(8)=16cm

\\ \sf\longmapsto TSA_{(New\:Cylinder)}=2\times \dfrac{22}{7}\times 8(16+8)

\\ \sf\longmapsto TSA_{(New\:Cylinder)}=\dfrac{352}{7}(24)

\\ \sf\longmapsto TSA_{(New\:Cylinder)}=\dfrac{8448}{7}

\\ \sf\longmapsto TSA_{(New\:Cylinder)}=1204.7cm^2

So

\\ \sf\longmapsto \dfrac{TSA_{(New\:Cylinder)}}{TSA_{(Old\:Cylinder)}}=\dfrac{1204.7}{301.7}

\\ \sf\longmapsto \dfrac{TSA_{(New\:Cylinder)}}{TSA_{(Old\:Cylinder)}}=\dfrac{4}{1}

\\ \sf\longmapsto\underline{\boxed{\bf{ {TSA_{(New\:Cylinder)}}:{TSA_{(Old\:Cylinder)}}=4:1}}}

Hence our correct option is Option C

6 0
2 years ago
You are trying to hack into your mom's computer. You know your password is 4 letters and then a number but you can not remember
podryga [215]
The amount of passwords you can guess are 4,569,760. 
 How this is found is by multiplying the amount of numbers in the alphabet by itself 4 times, then multiplying by the amount of 1 digit numbers there are, so multiply by 10, it is ten because you can have the number as 1 2 3 4 5 6 7 8 9 or 0, and then the number you get is your answer. Hope this helped! ^_^
7 0
2 years ago
Given f (x )equals 2 x minus 5 and g (x )equals 5 x squared​, first find f plus g​, f minus g​, ​fg, and StartFraction f Over g
baherus [9]

Answer:

(f + g)(x) = 5x² + 2x - 5

Domain: All real numbers

(f - g)(x) = -5x² + 2x - 5

Domain: All real numbers

(fg)(x) = 10x³ - 25x²

Domain: All real numbers

(f/g)(x) = \frac{2x-5}{5x^2}

Domain: (negative infinity, 0)U(0, positive infinity)

Step-by-step explanation:

For f + g, we are simply adding the 2 together

<em>Domain: All values of x work, as any value x outputs any value y</em>

For f - g, we are simply subtracting the 2 together

<em>Domain: All values of x work, as any value x outputs any value y</em>

For f times g, we are simply multiplying (distributing) the 2 together

<em>Domain: All values of x work, as any value x outputs any value y</em>

For f divided by g, we are simply dividing (fraction) the 2 together

<em>Domain: All values except for 0 work (undefined error), so asymptote at x = 0</em>

6 0
3 years ago
Other questions:
  • angle EFG and angle GFH are a linear pair, m angle GFH= 2n+38 and m angle GFH=2n+38. what are m angle EFG and m angle GFH
    5·2 answers
  • Find the least common denominator (LCD) of 10/7 and 1/6 .
    14·2 answers
  • Question: (look at image above) (giving 25 points, please DONT COMMENT IF U DONT KNOW)
    8·1 answer
  • Please help!!!<br><br> This is my measurement homework
    11·1 answer
  • What are the coordinates of the image of vertex G after a
    7·2 answers
  • Please tell the function equation as well too
    7·2 answers
  • If we multiply a positive and a negative number, is the result positive or<br> negative?
    12·1 answer
  • Explain why the slope of line a is 2/6.
    6·1 answer
  • Find next two terms. -162, -54, -18, ?, ?
    14·1 answer
  • Find the value of k if x-1 is the factor of x ^ 2 + x + k​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!