Supply the appropriate statistical test needed for the following data. Write Z if it the appropriate test is Z-test and write T if it T-test is needed for the data.   1. An infomercial claims that a miracle drug will cause you to grow all your hair back. There are 25 brave participants and surprisingly 7 people regrew their hair. With every 25 participants there are more or less 6 people regrow their hair.   2. Based on the report of the school nurse, the average height of  Grade 11 students has increased. Five years ago, the average height of Grade 11 students was 170cm with standard deviation of 38cm. She took a random sample of 150 students and derived the average height of 165cm.   3. Knowing from a previous study that the average of athletes is 80, an athletic adviser asked how his soccer players are academically doing as compared to other student athletes. After an initiative to help improve the average of student athletes, the adviser randomly selected 15 soccer players and found 85 as the average with standard deviation of 1.25.   4. It was known that the number of tickets purchased by students at the ticket window for the volleyball match of two popular universities followed a distribution that has mean of 500 and standard deviation of 8.9. Suppose that a few hours before the start of one of these matches, there are 20 eager students standing in line to purchase tickets. If there are 250 tickets remaining, what is the probability that all 20 students will be able to purchase the tickets they want?   5. A sample of n=25 is selected from a normal population, X ̅= 56 and s= 12. Please answer it.

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Supply the appropriate statistical test needed for the following data. Write Z if it the appropriate test is Z-test and write T if it T-test is needed for the data.
 
1. An infomercial claims that a miracle drug will cause you to grow all your hair back. There are 25 brave participants and surprisingly 7 people regrew their hair. With every 25 participants there are more or less 6 people regrow their hair.
 
2. Based on the report of the school nurse, the average height of  Grade 11 students has increased. Five years ago, the average height of Grade 11 students was 170cm with standard deviation of 38cm. She took a random sample of 150 students and derived the average height of 165cm.
 
3. Knowing from a previous study that the average of athletes is 80, an athletic adviser asked how his soccer players are academically doing as compared to other student athletes. After an initiative to help improve the average of student athletes, the adviser randomly selected 15 soccer players and found 85 as the average with standard deviation of 1.25.
 
4. It was known that the number of tickets purchased by students at the ticket window for the volleyball match of two popular universities followed a distribution that has mean of 500 and standard deviation of 8.9. Suppose that a few hours before the start of one of these matches, there are 20 eager students standing in line to purchase tickets. If there are 250 tickets remaining, what is the probability that all 20 students will be able to purchase the tickets they want?
 
5. A sample of n=25 is selected from a normal population, X ̅= 56 and s= 12.

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