According to data on the state of Iowa, the amount of water used for cooking per household per month is normally distributed, with a standard deviation of 10.4 liters. A survey was carried out to estimate the population mean. With a sample size of 60 households, the mean quantity of water used for cooking was found to be 62.6 liters. What can we say about the population mean?
*choices listed below*

Question

According to data on the state of Iowa, the amount of water used for cooking per household per month is normally distributed, with a standard deviation of 10.4 liters. A survey was carried out to estimate the population mean. With a sample size of 60 households, the mean quantity of water used for cooking was found to be 62.6 liters. What can we say about the population mean?
*choices listed below*

anonymous · Answer

a) There is a 95% chance that the population mean would lie between 59.91 liters and 65.29 liters.

b) There is a 95% chance that the population mean would lie between 61.11 liters and 65.09 liters. 

c) There is a 68% chance that the population mean would lie between 61.26 liters and 64.49 liters.

d) There is a 68% chance that the population mean would lie between 62.11 liters and 63.09 liters.

anonymous · Answer

@jim_thompson5910 Do you know this?

anonymous · Answer

@Destinymasha please help

jim_thompson5910 · Answer

I think this problem wants you to set up a confidence interval

jim_thompson5910 · Answer

have you learned about them?

anonymous · Answer

@jim_thompson5910 yeah, I figured it out but thank you!