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1. To test the hypothesis Ho: µ 220 versus Ha: µ < 200, a z-score of 3.87 is fou

ID: 3135012 • Letter: 1

Question

1. To test the hypothesis Ho: µ 220 versus Ha: µ < 200, a z-score of 3.87 is found. The probability of observing a z-score of 3.87 or one that is even larger, assuming the true mean is really greater or equal to 220, is called _____.     a. the z-statistic b. a random sample c. the p-value d. the test statistic

2. The animal’s tidal volume is known to be normally distributed with a mean of 45 cc and a standard deviation of 5 cc. A research team believes that the mean is actually larger than previously thought. They collected a random sample of 20 experimental animals and found a sample mean tidal volume of 46.5 cc. State the hypotheses

a. Ho: x 46.5 cc versus Ha: x > 46.5 cc

b. Ho: µ 45 cc versus Ha: µ > 45 cc

c. Ho: µ 46.5 cc versus Ha: µ > 46.5 cc

d. Ho: µ 45 cc versus Ha: µ < 45 cc

Explanation / Answer

1. c. the p-value

2.

b. Ho: µ 45 cc versus Ha: µ > 45 cc