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DiKsa [7]
3 years ago
13

You are running a fuel economy study. One of the cars you find is blue. It can travel 40 1/2 on 1 1/4 of gasoline. Another car i

s red. It can travel 23 1/5 on 4/5 of gasoline. What is the unit rate for miles per gallon for each​ car? Which car could travel the greater distance on 1 of​ gasoline?
Mathematics
1 answer:
Leona [35]3 years ago
3 0

Answer:

I want point

Step-by-step explanation:

16181973838

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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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