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ira [324]
2 years ago
13

I need help please quickly ​

Mathematics
1 answer:
Gekata [30.6K]2 years ago
4 0
Answers:
A. k= 49°
B. RSQ= 157°

explanations:
A. the angle shown is a right angle, right angles are 90°. so to get the measure of angle k you must subtract the already known angle from 90°. thus giving the answer 49°

B. a straight line has a measure of 180°. to get the measure of RSQ, you have to subtract the already known angle from 180°. thus giving the answer 157°.
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a

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Step-by-step explanation:

From the question we are told that

 The first sample size is  n_1 = 30

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 The second sample size is  n_2 = 30

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   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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