210 Statistics Review Assignment: Choosing the Correct Test-Ch 8 In each situati

Question

210 Statistics Review Assignment: Choosing the Correct Test-Ch 8 In each situation described below, write the hypotheses and indicate which test you would choose on the graphing calculator: 1-Prop Z Test or T-Test or Z-Test (You don't need to carry out the test) 1. A drug manufacturer believes that a new pain reliever works faster than the one currently manufactured, which has a mean time to relief of 40 minutes. In a random sample of n 56 trials of the new pain reliever, the average time to relief was 37 minutes with a standard deviation of s 5.7 minutes 2. Are older men shorter than younger men? According to the National Health Statistics Reports, the mean height for U.S. men is 69.4 inches. In a sample of 300 men between the ages of 60 and 69, the mean height was 69.0 inches. Public health officials want to determine whether the mean height ? for older men is less than the mean height of all adult men. Assume the population standard deviation to be 2.84 inches. 3, using an old method of eye surgery, only 30% of the surgeries succeeded. Using a new method, 93 out of 250 surgeries were successful. Is there evidence that the new method is better than the old one? 4. The average 100 meter dash time for all of the current members of a football team is 11.4 seconds. The 100 meter dash times for a random sample of 5 new players are listed below. (You may assume that the sample comes from a normally distributed population) 12.5 11.6 10.8 12.8 114 Is there evidence that the average 100 meter dash time for all of the new players is different from that of the current players? 5. Are children heavier now than they were in the past? The National Health Examination and Nutrition Survey (NHANES) published in 2004 reported that the mean weight of six-year-old girls in the United States was 49.3 pounds. Another NHANES survey, published in 2012, reported that a sample of 177 six- year-old girls had an average weight of 51.9 pounds. Assume the population standard deviation is ?-17 pounds. Can you conclude that the mean weight of six-year-old girls is higher in 2012 than in 2004? Use the ?-0.01 level of significance.

Explanation / Answer

1. T- test

2. Z test ( sigma know/ population standard deviation)

3. 1prop Z test

4. T test

5. Z test( sigma known)

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