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VashaNatasha [74]
3 years ago
11

The points Q(-1,1),R(2,-3), and S(-1,-3) are the vertices of a triangle. Find the area of the triangle

Mathematics
1 answer:
gavmur [86]3 years ago
4 0

Answer:

chicken

Step-by-step explanation:

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The answer is "between 0.10 and 0.05".

Step-by-step explanation:

For sample 1:

n_1 = 25\\\\\bar{x_1} = 90.00\\\\ s_1 = 9\\\\

For sample 2:

n_2 = 25\\\\ \bar{x_2} = 95.08\\\\ S_2 = 12\\\\

Calculating the null and alternative hypotheses:

H_O : \mu_1 = \mu_2 \\\\ H_Q : \mu_1  

Calculating the test statistic:

Z= \frac{90-95.08}{ \sqrt{\frac{9^2}{25}+\frac{12^2}{25}}} \\\\ =\frac{-5.08}{ \sqrt{\frac{81}{25}+\frac{144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{81+144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{225}{25}}}\\\\=\frac{-5.08}{ \frac{15}{5}}\\\\=\frac{-5.08}{3}\\\\= -1.693

Calculating the conservative degrees of freedom:

DF = min (n_1 -1, n_2 - 1) = min(25-1, 25-1) = 24

by using Excel the p-value for left tailed test and for test statistic will be -1.693 with DF = 24.

\to p-value = TDIST(1.693, 24, 1) = 0.0517\ \ \ \  i.e, \bold{0.05 < p-value < 0.10}

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