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Nataly [62]
3 years ago
14

Help needed I need the answer with work shown for the graphs

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
6 0

top left: speed = 2.7 miles per hour  = 2.7 MPH

top right: speed = 0 miles per hour  = 0 MPH

bottom left: speed = 4 miles per hour  = 4 mi/h

bottom right: speed = 2 miles per hour  = 2 mi/h

and so, the fastest is bottom left. And pay attention in class! i'm in highschool and Iearned this in 6th grade!

Step-by-step explanation:

key: speed= distance/time

distance= speedxtime

time=distance/speed

top left: 8/3= 2.66667 MPH= 2.7 MPH

top right: 0/8= 0 MPH= 0 MPH

bottom left: 8/2= 4 MPH= 4 MPH

bottom right: 8/4= 2 MPH= 2 MPH

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a

The null hypothesis is  H_o :  \sigma^2_1 = \sigma^2 _2

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b

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    The decision rule is  

Reject the null hypothesis

e

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Step-by-step explanation:

From the question we are told that

 The first sample size is  n_1 = 30

 The sample variance for elementary school is  s^2_1 = 8324

 The second sample size is  n_2 = 30

  The sample variance for the secondary school is  s^2_2 = 2862

   The significance level is  \alpha = 0.05

The null hypothesis is  H_o :  \sigma^2_1 = \sigma^2 _2

The alternative hypothesis is H_a :  \sigma_1 ^2 > \sigma^2_2

Generally from the F statistics table  the critical value of \alpha = 0.05 at first and  second degree of freedom df_1 = n_1 - 1 = 30 - 1 = 29 and  df_2 = n_2 - 1 = 30 - 1 = 29 is  

         F_{critical} = 1.8608

Generally the test statistics is mathematically represented as

       F = \frac{s_1^2 }{s_2^2}

=>   F = \frac{8324 }{2862}

=>   F = 2.9085

Generally from the value obtained we see that  F >  F_{critical } Hence

   The decision rule is  

Reject the null hypothesis

    The conclusion is  

  There is sufficient evidence to support the researchers claim

   

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