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Answer:
<em>alternative hypothesis : H₁ :</em>
<em>Recent Gasoline surveys felt that gasoline price in Texas was significantly lower than the national average</em>
<em>Alternative Hypothesis : H₁: μ < $1.298 a gallon</em>
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given A recent gasoline survey said that the national average price of gasoline was $1.298 a gallon
<em>Population average μ= $1.298 a gallon</em>
<em>sample size 'n' = 37</em>
<em>Sample mean (x⁻) = $1.192 a gallon </em>
<em>Sample standard deviation 'S' = $0.0436</em>
<em>Null hypothesis :H₀ : μ = $1.298 a gallon</em>
<em>Alternative Hypothesis : μ < $1.298 a gallon</em>
<em>Degrees of freedom : ν = n-1= 37-1=36</em>
<em>t₀.₀₂₅ = 1.688</em>
<em>Test statistic </em>
<em> </em><em></em>
<em> </em><em></em>
<em> t = -14.8044</em>
<em>|t| = |-14.8044| > 1.688</em>
<em>Null hypothesis is rejected </em>
<em>Alternative hypothesis is accepted </em>
<em>Recent Gasoline surveys felt that gasoline price in Texas was significantly lower than the national average</em>