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Water Temperature If the variance of the water temperature in a lake is 24°, how many days should the researcher select to measure the temperature toestimate the true mean within 5° with 99% confidence? Round the intermediate calculations to two decimal places and round up your final answer to the nextwhole number The researcher needs a sample of at least ?days.

Water Temperature If the variance of the water temperature in a lake is 24°, how many days should the researcher select to measure the temperature toestimate th class=

Answer :

Since we have given that:

Variance = 24°

Standard deviation = √24 = 4.9

Mean = 5°

At 99% confidence, z value = 2.576

So, number of days that the researcher select to measure the temperature would be:

[tex]n\text{ = (}\frac{z\times\sigma}{\chi})^2\text{ = }(\frac{2.58\text{ }\times\text{ }4.9}{5})^{2\text{ }}=\text{ }6.37[/tex]

Hence, the number of days would be 7 days.

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