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QUESTION 2 During the Middle Ages, armies often used catapults to launch flaming projectiles at their...

QUESTION 2

  1. During the Middle Ages, armies often used catapults to launch flaming projectiles at their enemies. Because of the inferior materials and manufacturing processes of the time, excessive variability in the weight of flaming projectiles could damage the arm of a catapult, thus leading to inaccurate launches. Because of this problem, most armies maintained a staff of quality engineers to inspect projectiles prior to their use. During the Hundred Years’ War, the English army applied the following hypothesis test to each shipment of projectiles they received.

    They used a level of significance of 0.05 and a sample of size 25. Suppose for one particular shipment the test statistics was 39.

    You fail to reject null hypothesis.

    True

    False

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Answer #1

Ans. FALSE

Reason: Chi-squared distribution

We reject null hypothesis when test statistic exceeds the critical value.

The critical value of chi-squared at 0.05 significance level and 24 degree of freedom is 36.415.

Since , 39 > 36.415

Test Statistic > Critical Value

Thus, we reject null hypothesis.

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