Directions: Identify the appropriate test statist poblem. Write z-test or t-test on a separate sheet of paper. 1. A sample of n=25 is selected from a normal population, 56 ard s= 12. 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 Geade 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 81, an athletic adviser asked how his soccer players are academically doing as compared to other student athletes. After an initiative to help improve the of student athletes, the adviser randomly selected 15 soccer players aterage aid found 85 as the average with standard deviation of 1.25.

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Artivity 5. Which is Which?
Directions: Identify the appropriate test statistic to be used in each
poblem. Write z-test or t-test on a separate sheet of paper.
1. A sample of n-25 is selected from a normal population, = 56
aid s= 12.
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
81, an athletic adviser asked how his soccer players are academically doing
as compared to other student athletes. After an initiative to help improve the
aterage of student athletes, the adviser randomly selected 15 soccer players
aid found 85 as the average with standard deviation of 1.25.
4. The CEO of a battery manufacturing company claimed that
their batteries would last an average of 280 hours under normal use. A
rsearcher randomly selected 20 batteries from the production line and
tested them. The tested batteries had a mean life span of 250 hours with a
standard deviation of 40 hours. Do we have enough evidence to suggest that
the claim of an average of 280 hours is false?
5. It was known that the number of tickets purchased by
students at the ticket window for the volleyball match of two popular
uziversities 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 100 eager students standing in line to purchase tickets.
If there are 250 tickets remaining, what is the probability that all 100
sudents will be able to purchase the tickets they want?
Transcribed Image Text:Artivity 5. Which is Which? Directions: Identify the appropriate test statistic to be used in each poblem. Write z-test or t-test on a separate sheet of paper. 1. A sample of n-25 is selected from a normal population, = 56 aid s= 12. 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 81, an athletic adviser asked how his soccer players are academically doing as compared to other student athletes. After an initiative to help improve the aterage of student athletes, the adviser randomly selected 15 soccer players aid found 85 as the average with standard deviation of 1.25. 4. The CEO of a battery manufacturing company claimed that their batteries would last an average of 280 hours under normal use. A rsearcher randomly selected 20 batteries from the production line and tested them. The tested batteries had a mean life span of 250 hours with a standard deviation of 40 hours. Do we have enough evidence to suggest that the claim of an average of 280 hours is false? 5. It was known that the number of tickets purchased by students at the ticket window for the volleyball match of two popular uziversities 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 100 eager students standing in line to purchase tickets. If there are 250 tickets remaining, what is the probability that all 100 sudents will be able to purchase the tickets they want?
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