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3 years ago

If you know that a relationship is proportional and are given one ordered pair other than (0,0), how can you find another pair?

Mathematics

1 answer:

Olenka [21]3 years ago

3 0

You can use y2-y1 divided by x2-x1 to give you the slope which will give you another pair.

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Researchers examined the bill color (in hue degree) of male and female zebra finches. Here are the summary statistics from the s

sesenic [268]

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

In the question some iformation is missing, which can be defined as follows:

Given:

The value of males:

$n_1= 59\\s_1= 1.46\\\bar y_1=2.91\\$

The value of Females:

$n_2=60\\s_2= 2.48\\\bar y_2=7.42\\$

Calculating Degrees of Freedom:

$\bold{ df=\frac{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}{ \frac{1}{n_1-1} (\frac{s_1^2}{n_1})^2+\frac{1}{n_2-1} (\frac{s_2^2}{n_2})^2}}\\\\\\$

$=\frac{(\frac{1.46^2}{59}+\frac{2,48^2}{60})^2}{ \frac{1}{59-1} (\frac{1.46^2}{59})^2+\frac{1}{60-1} (\frac{2.48^2}{60})^2}\\$

$=9.58 or 95$

$\alpha= 1-0.95\\\\$

$= 0.05$

for 95% confidence interval are:

$\frac{\alpha}{2} = \frac{0.05}{2} = 0.025$

From its t-distribution table , the value of t has an region of ( $\frac{\alpha}{2} \ \ 0.025$ ) for (df=95) in its upper tail.

shall be given by = t {0.025}=1.985

Calculating the margin of Error:

$M_OE =t_{0.025} \times \sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}$

$=1.985\times \sqrt{\frac{1.46^2}{59}+\frac{2.48^2}{60}}\\\\=0.739$

The difference in mean bill color " $\mu_2 -\mu_1$ " with 95% confidence intervals:

$\to (7.42 - 2.91) \pm 0.739\\\\\to 4.51 \pm 0.739$

Lower limit=3.771

Upper limit = 5.249

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Naddika [18.5K]

Answer:a

Step-by-step explanation:

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