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?

1 There is a 95% chance that the population mean would lie between 59.91 liters and 65.29 liters.
2 There is a 95% chance that the population mean would lie between 61.11 liters and 65.09 liters. @amistre64 I think it may be answer 1.

Answer 1

3 There is a 68% chance that the population mean would lie between 61.26 liters and 64.49 liters.

4 There is a 68% chance that the population mean would lie between 62.11 liters and 63.09 liters.

Answer 2

Do you know how to solve it?

Answer 3

I think it's number 1.

Answer 4

what makes you think i know this lol, let me read thru it

Answer 5

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.

sample size of 60, mean 62.6 liters.

What can we say about the population mean?

what value of z is associated with the options? 95% and 68%

im thinking 2 and 1 by empirical rule for approximations

Answer 6

mean +- z(10.4)/sqrt(60) gives us the confidence interval related to the z value for the confidence

Answer 7

\[CI_{95}\approx 62.6\pm 2\frac{10.4}{\sqrt{60}}\]
\[CI_{68}\approx 62.6\pm 1\frac{10.4}{\sqrt{60}}\]

Answer 8

3 would have an upper limit of 63.94

1 would have an upper limit of 65.28

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1 seems more in line then 3 so mee