Pls help me answer my statistics and probability homework, our topic is z-test or t-test proportion
1. it has been reported that the average credit card debt for college seniors at the college book store for a specific college is ₱11,500. the student council at a large university feels that their seniors have a debt much less than this, so it conducts a study of 50 randomly selected seniors and finds that the average debt is ₱10,900, and the population standard deviation is ₱2,590. with a α=0.05, is the student council correct?
2. the average "moviegoer" sees 8.5 movies a year. a moviegoer is defined as a person who sees at least one movie in a theater in a 12-month period. a random sample of 29 moviegoers from a large university revealed that the average number of movies seen per person was 9.6. the standard deviation is 3.2 movies. at the 0.02 level of significance, can it be concluded that this represents a difference from the national average?
3. the average college student goes through 500 disposable cups in a year. to raise environmental awareness, a student group at a large university volunteered to help count how many cups were used by students on their campus. a random sample of 30 students’ results found that they used a mean of 676 cups with standard deviation of 400 cups. at α=0.15, is there sufficient evidence to conclude that the mean is greater than from 500?
4. a special cable has a breaking strength of 800 pounds. the standard deviation of the population is 189 pounds. a researcher selects a sample of 25 cables and finds that the average breaking strength is 738 pounds. can he reject the claim that the breaking strength is 800 pounds at α=0.05? 5. the percentage of physicians who are women is 29.9%. in a survey of physicians employed by a large university health system, 45 of 120 randomly selected physicians were women. is there sufficient evidence at the 0.05 level of significance to conclude that the proportion of women physicians at the university health system exceeds 29.9%?
Answers
Answer:
,m...,.................
................................................................................................
....................................................
...............
Step-by-step explanation:
Pls help me answer my statistics and probability homework, our topic is z-test or t-test proportion
1. it has been reported that the average credit card debt for college seniors at the college book store for a specific college is ₱11,500. the student council at a large university feels that their seniors have a debt much less than this, so it conducts a study of 50 randomly selected seniors and finds that the average debt is ₱10,900, and the population standard deviation is ₱2,590. with a α=0.05, is the student council correct?
2. the average "moviegoer" sees 8.5 movies a year. a moviegoer is defined as a person who sees at least one movie in a theater in a 12-month period. a random sample of 29 moviegoers from a large university revealed that the average number of movies seen per person was 9.6. the standard deviation is 3.2 movies. at the 0.02 level of significance, can it be concluded that this represents a difference from the national average?
3. the average college student goes through 500 disposable cups in a year. to raise environmental awareness, a student group at a large university volunteered to help count how many cups were used by students on their campus. a random sample of 30 students’ results found that they used a mean of 676 cups with standard deviation of 400 cups. at α=0.15, is there sufficient evidence to conclude that the mean is greater than from 500?
4. a special cable has a breaking strength of 800 pounds. the standard deviation of the population is 189 pounds. a researcher selects a sample of 25 cables and finds that the average breaking strength is 738 pounds. can he reject the claim that the breaking strength is 800 pounds at α=0.05? 5. the percentage of physicians who are women is 29.9%. in a survey of physicians employed by a large university health system, 45 of 120 randomly selected physicians were women. is there sufficient evidence at the 0.05 level of significance to conclude that the proportion of women physicians at the university health system exceeds 29.9%?