# Confidence Intervals: New type of ammunition, measured velocity

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Fifty rounds of a new type of ammunition was fired from a M-1, and the muzzle velocity of the projectile was measured. The sample had a mean velocity of 853 meters per second, with a standard deviation of 2.9 meters per second

How do you know which Hypothesis Testing to use?

A) Construct and interpret a 99% Confidence Interval for the mean muzzle velocity.

B) How would you increase the accuracy in the problem?

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The confidence intervals for the new types of ammunition, measured velocity are examined.

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Fifty rounds of a new type of ammunition was fired from a M-1, and the muzzle velocity of the projectile was measured. The sample had a mean velocity of 853 meters per second, with a standard deviation of 2.9 meters per second

A: Construct and interpret a 99% Confidence Interval for the mean muzzle velocity.

99% CI in terms of Z-score = 2.58

Find z (1.96 for 95% interval; 2.58 for 99% interval)

Lower limit = M - z 0.99σM = (853)-(2.58)(0.41)= 851.94

Upper limit = M + z 0.99σM = (853) ...

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