A simple random sample of size n is drawn from a population that is normally distributed. the sample mean, x overbar , is found to be 106 , and the sample standard deviation, s, is found to be 10. (a) construct a 96 % confidence interval about mu if the sample size, n, is 16. (b) construct a 96 % confidence interval about mu if the sample size, n, is 21. (c) construct a 98 % confidence interval about mu if the sample size, n, is 16. (d) could we have computed the confidence intervals in parts (a) - (c) if the population had not been normally distributed?

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Mathematics

Nataly Spears

17 July, 04:09

A simple random sample of size n is drawn from a population that is normally distributed. the sample mean, x overbar , is found to be 106 , and the sample standard deviation, s, is found to be 10. (a) construct a 96 % confidence interval about mu if the sample size, n, is 16. (b) construct a 96 % confidence interval about mu if the sample size, n, is 21. (c) construct a 98 % confidence interval about mu if the sample size, n, is 16. (d) could we have computed the confidence intervals in parts (a) - (c) if the population had not been normally distributed?

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Helen Lutz · Answer 1

What would you expect to see in terms of the behavior of a sample proportion of females (p-hat) ifrandom samples of size 100 were taken from the population of all part-time college students? As we saw ... Therefore we can conclude that p-hat is approximately a normal distribution with mean p = 0.6 and standard deviation.