Question

Hi can you do me this 3 exercises? if you answer them all and are correct I will put thumbs up! thanks :)

7) Focus groups of 14 people are randomly selected to discuss products of the Famous Company. It is determined that the mean number (per group) who recognize the Famous brand name is 9, and the standard deviation is 0.79. Would it be unusual to randomly select 14 people and find that greater than 13 recognize the Famous brand name?

8) Assume that there is a 0.05 probability that a sports playoff series will last four games, a 0.45 probability that it will last five games, a 0.45 probability that it will last six games, and a 0.05 probability that it will last seven games. Is it unusual for a team to win a series in 4 games?

9) In a survey of 300 college graduates, 53% reported that they entered a profession closely related to their college major. If 9 of those survey subjects are randomly selected without replacement for a follow-up survey, what is the probability that 3 of them entered a profession closely related to their college major? In a sample of 9 persons, would it be unusual to for 8 persons sampled to have entered a profession closely related to their college major?

Answer 1

7. The standard error of the average number of people out of 14 who recognize the Famous brand name is

The probability that more than 13 recognize the famous brand name is

The probability is very low and hence it would be very unusual if out of 14 randomly selected people, 13 recognize the famous brand name.

8. An unusual event is such an event whose probability of occurrence is less than or equal to 0.05.

The probability that a team will win the series in 4 games is = 0.05

Hence, it would be unusual if a team wins the series in 4 games.

9. The probability that a randomly selected subject has entered a profession closely related to their college major is = 0.53

The probability that out of 9 randomly chosen subjects, 3 has entered a profession closely related to their college major is

The probability that out of 9 randomly chosen subjects, 8 has entered a profession closely related to their college major is

The probability that out of 9 subjects, 8 has entered a profession closely related to their college major is less than 0.05.

Hence, it would be unusual if 8 out of 9 randomly chosen subject will have entered a profession closely related to their subject.

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