Question

Attempt 3

Suppose Jason read an article stating that in a 2003–2004 survey, the average American adult woman aged 19–30 drank an average of 1.04 liters of plain water per day with a standard deviation of 0.11 liters. Jason wants to find out if the women at his college drink a similar amount per day. He asks 45 of his female classmates in his Introductory Economics class to record the amount of water they drink in one day, and he is willing to assume that the standard deviation at his college is the same as in the 2003–2004 survey.

Jason wants to construct a 95% confidence interval for μ, the average amount of water the women at his college drink per day. Have the requirements for constructing a z-confidence interval for a mean been met?

Mark all of the following requirements that have been met with yes, and all the requirements that have not been met with no.

-The sample is a simple random sample.

-The population standard deviation is known.

-The population from which the data are obtained is normally distributed, or the sample size is large enough.

-The requirements for constructing a z-confidence interval for a mean have been met.

Answer 1

-The sample is a simple random sample. :No (since sampling is convenience , ask only student from his class which is not representative of population

-The population standard deviation is known. :Yes

-The population from which the data are obtained is normally distributed, or the sample size is large enough. :yes (sample size is greater than 30)

-The requirements for constructing a z-confidence interval for a mean have been met. :No

(since sample is not random)