# Probability - Statistics - Standard - Deviation

1. In previous tests, baseballs were dropped 24 feet onto a concrete surface, and they bounced an average of 92.84 inches. In a test sample of 40 new balls, the bounce heights had a mean of 92.67 inches and a standard deviation of 1.79 inches. Use a 0.05 significance level to determine whether there is sufficient evidence to support the claim that the new balls have bounce eights with a mean different from 92.84 inches. For this problem, the critical value of the statistic is?

2. Use the Poisson distribution to find the indicated probabilities. In one year, there were 116 homicide deaths in Richmond, Virginia. For a randomly selected day, find the probability that the number of homicide deaths is 0.

3. As part of the National Health and Nutrition Examination Survey, self-reported heights and measured heights were obtained for males aged 12 to 16.

The data are reported below:

Reported: 68 71 63 70 71 60 65 64 54 63 66 72

Measured: 67.9 69.9 64.9 68.3 70.3 60.6 64.5 67.0 55.6 74.2 65.0 70.8

Using a 0.05 significance level, the critical value of the statistic is?

4. A data set includes the heights of parents of 20 males. If the difference in height for each set of parents is found by subtracting the mother's height from the father's height, the result is a list of 20 values with a mean of 4.4 inches and a standard deviation of 4.2 inches. Use a 0.01 significance level to test the claim the mean difference is greater than 0. Accept or reject the null hypothesis?

5. A recent survey of 4276 randomly selected households showed that 4019 of them had telephones. Use these survey results to test the claim that the percentage of households is greater than the 35% rate that was previously found. Use a 0.01 significance level. Accept or reject the Null Hypothesis?

6. Given a = .10, H1 is p > 0.18, find the critical z value. Assume the normal distribution applies

7. A recent survey of 4276 randomly selected households showed that 4019 of them had telephones. Use these survey results to test the claim that the percentage of households is greater than the 35% rate that was previously found. Use a 0.01 significance level. For this problem, the value of the test statistic is?

8. In previous tests, baseballs were dropped 24 feet onto a concrete surface, and they bounced an average of 92.84 inches. In a test sample of 40 new balls, the bounce heights had a mean of 92.67 inches and a standard deviation of 1.79 inches. Use a 0.05 significance level to determine whether there is sufficient evidence to support the claim that the new balls have bounce eights with a mean different from 92.84 inches. For this problem, the value of the test statistic is?

9. A data set includes the heights of parents of 20 males. If the difference in height for each set of parents is found by subtracting the mother's height from the father's height, the result is a list of 20 values with a mean of 4.4 inches and a standard deviation of 4.2 inches. Use a 0.01 significance level to test the claim the mean difference is greater than 0. For this problem, the critical value of the statistic is?

10. A data set includes the heights of parents of 20 males. If the difference in height for each set of parents is found by subtracting the mother's height from the father's height, the result is a list of 20 values with a mean of 4.4 inches and a standard deviation of 4.2 inches. Use a 0.01 significance level to test the claim the mean difference is greater than 0. For this problem, the value of the test statistic is?

[See the attached questions file.]

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