A manufacturer claims that the mean driving per mile of its sedans is less than that of its leading competitor. You conduct a study using 31randomly selected sedans from the manufacturer and 32from the leading competitor. The results are given below

Manufacturer	Competitor
X1= 0.49 /mi	X2= 0.51 /mi
s1= 0.05 /mi	s2= 0.07 /mi
n1= 31	n2= 32

At = 0.05, can you support the manufacturer's claim? Assume the population variances are equal.

1. Null hypothesis

_{1 2} 0 X₁- X2 >0 _{1 2} > 0 _{1 2} = 0 X₁- X2= 0 _{1 2} < 0

Tries 0/2

2. Alternative hypothesis

_{1 2} 0 X₁- X2= 0 _{1 2} = 0 _{1 2} > 0 _{1 2} < 0 X₁- X2 >0

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3. What is the pooled standard deviation?

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4. Observed test statistic

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5. The degrees of freedom for the test statistic

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6. P-value:

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7. Would you support the manufacturer's claim at 5% significance level?

Yes No No enough information to decide