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
ira [324]
3 years ago
10

Two surfers and statistics students collected data on the number of days on which surfers surfed in the last month for 30 longbo

ard​ (L) users and 30 shortboard​ (S) users. Treat these data as though they were from two independent random samples. Test the hypothesis that the mean days surfed for all longboarders is larger than the mean days surfed for all shortboarders​ (because longboards can go out in many different surfing​ conditions). Use a level of significance of 0.05.
Longboard :4,8,9,4,9,7,9,6,6,1 1,1 3, 12, 10, 151316,12,10. 12,18,20.15,10.15,19,21,9,22, 1923 Shortboard: 6,4,4,6,7,7,7,10,4,6,7,5,8,9,4,15,13,9,12,11,12,13,9,11,13,15,9,19,20,11
Determine the hypotheses for this test. Choose the correct answer below. Find the test statistic for this test. Find the p-value for this test. What is the conclusion for this test? Reject H0. The mean days surfed for longboarders is not significantly larger than the mean days surfed for all shortboarders Do not reject H0. The mean days surfed for longboarders is significantly larger than the mean days surfed for all shortboarders Do not reject H0. The mean days surfed for longboarders is not significantly larger than the mean days surfed for all shortboarders
Mathematics
1 answer:
Alisiya [41]3 years ago
6 0

Answer:

Do not reject H0. The mean days surfed for longboarders is significantly larger than the mean days surfed for all shortboarders

Step-by-step explanation:

The null hypothesis is that  the mean days surfed for all long boarders is larger than the mean days surfed for all short boarders

H0:  μL > μs      against the claim Ha:  μL≤ μs

the alternate hypothesis is the mean days surfed for all long boarders isless or equal to  the mean days surfed for all short boarders (because long boards can go out in many different surfing conditions)

The test statistic is

t= x1- x2/  √s1/n1+ s2/n2

1) Calculations

Longboards

Mean

ˉx=∑x/n=4+8+9+4+9+7+9+6+6+11+15+13+16+12+10+12+18+20+15+10+15+19+21+9+22+19+23+13+12+10/30

=377/30

=12.5667

Longboard Variance S2=[∑dx²-(∑dx)²/n]/n-1

=[831-(-13)²/30]/29

=831-5.6333/29

=825.3667/29

=28.4609

Shortboard Mean

ˉx=∑x/n=6+4+6+6+7+7+7+10+4+6+7+5+8+9+4+15+13+9+12+11+12+13+9+11+13+15+9+19+20+11/30

=288/30

=9.6

Shortboard Variance S2=[∑x²-(∑x)²/n]/n-1

=[ 3270-(288)2/30]/29

=3270-2764.8/29

=505.2/29

=17.4207

2) Putting values in the test statistic

t=|x1-x2|/√S²1/n1+S²2/n2

t =|12.5667-9.6|/√28.4609/30+17.4207/30

t =|2.9667|/√0.9487+0.5807

t=|2.9667|/√1.5294

t=|2.9667|/1.2367

t=2.3989

3) Degree of freedom =n1+n2-2=30+30-2=58

4) The critical region is t ≤ t(0.05) (58) =1.6716

5) Since the calculated t= 2.4 does not fall in the critical region t(0.05) (58)  ≤ 1.6716 we do not reject H0.

The p-value is 0.008969. The result is significant at p <0 .05.

You might be interested in
Quadrilateral ABCD is a rhombus. suppose measure of angle A decreases. Which of the following changes woukd also need to happen
Harlamova29_29 [7]
Assuming the side lengths did not change, ...

Angle C would need to decrease by the same amount.
Angles B and D would each need to increase by the amount angle A decreased.
6 0
3 years ago
Read 2 more answers
The perimeter of a bedroom is 88 feet. The ratio of the width to the length is 5:6. What are the dimensions of the bedroom?
Elza [17]

Answer:

20 feet wide, 24 feet long

Step-by-step explanation:

Let x - width, y - length.

The perimeter is given by the formula:

P = 2*(width + length) or using x, y

P = 2*(x + y) = 88

x + y = 44

And we know that the ratio between the sides is 5/6:

x/y = 5/6. x is on top because the length is bigger than the width

x = 5y/6

Plug this in the first expression:

y + 5y/6 = 44. Muliply by 6

6y + 5y = 264

11y = 264

y = 264/11 = 24.

So x = 5(24)/6  = 20

7 0
3 years ago
Write 12241.025 how do u read this
charle [14.2K]

Answer:

12241.025

Step-by-step explanation:

Twelve thousand, two hundred and forty one point zero, two, five

6 0
2 years ago
Jamal is buying ingredients to make a large batch of granola to sell at a school fair. He buys 3.4 pounds of walnuts for $4.65 p
Whitepunk [10]
40-(4.65 x 3.4) + (6.53 x 2.1)=?

4 0
3 years ago
An N-scale model railroad caboose is 3 inches long. N scale is 169 feet to 1 foot.
hammer [34]

9514 1404 393

Answer:

  • c/3 = 169/12
  • 42 1/4 feet

Step-by-step explanation:

Since we want to know the actual number of feet, we can write the proportion with that in the numerator.

  \dfrac{\text{actual feet}}{\text{scale inches}}=\boxed{\dfrac{c}{3}=\dfrac{169}{12}}\\\\c=\dfrac{3\cdot169}{12}=42\frac{1}{4}\qquad\text{multiply by 3}

The real caboose is 42 1/4 feet long.

4 0
2 years ago
Other questions:
  • A radio station plays 24 minutes of music out of every 30 minutes. Write two ratios that are equivalent to the ratio 24/30
    12·1 answer
  • Which one of these expressions represent solutions to the equation y2=100
    7·1 answer
  • 20,000 is what percent of 80,000
    14·1 answer
  • Idk how to answer this
    15·1 answer
  • Elsa can type 75 words per minute on a Keyboard
    10·1 answer
  • I need help with this is my last one
    10·1 answer
  • Mario is walking away from a motion detector at a rate of 1.5 feet per second. He started recording his distance from the motion
    13·1 answer
  • Find the circumference of this circle<br> using 3 for T.<br> C = ?
    14·1 answer
  • 7n+2 = 4n+17 solve the equation
    10·1 answer
  • Which expression is equivalent to<br> %?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!