The braking ability was compared for two 2012 automobile models Nissan and Ford.

Question

The braking ability was compared for two 2012 automobile models Nissan and Ford. Random samples of 64 automobiles were tested for each type. The recorded measurement was the distance (in feet) required to stop when brakes were applied at 40 miles per hour. These are computed sample means and variances: Suppose the researcher wants to show that there is a difference between the mean stopping distances for the two models one of the following statements is false: a) It is a two-tailed test. b) If the significant level is 10%, we should reject the null hypothesis. c) If the significant level is 1%, we should not reject the null hypothesis. d) The p-value is nearly zero. e) The test statistic(z) is 5.24

Explanation / Answer

Since the test statistic = 5.24

And this is a two tailed test. So,

p - Value = 2*P(z > 5.24) = 0.0000

So the p - value is nearly 0 and hence,

We will reject the null hypothesis at both 1% and 10%.

Therefore,

Option C should be the false statement.

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