An electric car manufacturer claims that their new battery model increases average driving range by more than 5 km after a full overnight charge. To evaluate this claim, an independent reviewer tests the battery on 17 vehicles. The sample shows an average increase of 5.8 km, with a standard deviation of 1.2 km. Assume the increase in range is approximately normally distributed. Use a significance level of 0.05. If the test statistic is 2.582, which of the following is the correct decision and conclusion regarding the manufacturer's claim?Single choice
A
Fail to reject the null hypothesis; there is not enough evidence to support the manufacturer's claim.
B
Reject the null hypothesis; the average range increase is significantly less than 5 km.
C
Reject the null hypothesis; there is sufficient evidence that the battery increases range by more than 5 km.
D
Fail to reject the null hypothesis; the average range increase is exactly 5 km.
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