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

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

$F_{critical} = 1.8608$

$F = 2.9085$

The decision rule is

Reject the null hypothesis

There is sufficient evidence to support the researchers claim

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