In the library on a university campus, there is a sign in the elevator that indicates a limit of 50 persons. Furthermore, there is a weight limit of 8000 pounds. Suppose that the average weight of students, faculty, and staff on campus is 147 pounds, that the standard deviation is 30 pounds. You want to estimate the chance that a random sample of 50 persons on the elevator will exceed the weight limit of 8000 pounds by using z-scores and the standard normal distribution. Is it necessary to assume that the weights of individuals on campus is at least approximately normally distributed? Read carefully and select one of the following: a) Yes, otherwise the population could be skewed. b) No, since the population is normally distributed for a large sample. c) Yes, otherwise the sampling distribution of the sample means is not most likely normally distributed. d) No, since the sampling distribution of the sample means is approximately normally distributed for a large sample.

MATLAB: An Introduction with Applications
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In the library on a university campus, there is a sign in the elevator that indicates a limit of 50 persons.
Furthermore, there is a weight limit of 8000 pounds. Suppose that the average weight of students, faculty, and
staff on campus is 147 pounds, that the standard deviation is 30 pounds. You want to estimate the chance that a
random sample of 50 persons on the elevator will exceed the weight limit of 8000 pounds by using z-scores and
the standard normal distribution. Is it necessary to assume that the weights of individuals on campus is at least
approximately normally distributed?
Read carefully and select one of the following:
a) Yes, otherwise the population could be skewed.
b) No, since the population is normally distributed for a large sample.
c) Yes, otherwise the sampling distribution of the sample means is not most likely normally distributed.
d) No, since the sampling distribution of the sample means is approximately normally distributed for a large sample.
Transcribed Image Text:In the library on a university campus, there is a sign in the elevator that indicates a limit of 50 persons. Furthermore, there is a weight limit of 8000 pounds. Suppose that the average weight of students, faculty, and staff on campus is 147 pounds, that the standard deviation is 30 pounds. You want to estimate the chance that a random sample of 50 persons on the elevator will exceed the weight limit of 8000 pounds by using z-scores and the standard normal distribution. Is it necessary to assume that the weights of individuals on campus is at least approximately normally distributed? Read carefully and select one of the following: a) Yes, otherwise the population could be skewed. b) No, since the population is normally distributed for a large sample. c) Yes, otherwise the sampling distribution of the sample means is not most likely normally distributed. d) No, since the sampling distribution of the sample means is approximately normally distributed for a large sample.
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