Mathematics: Suppose the weights, in pounds, of the dogs in a city are normally distributed. if the population standard deviation is 3 pounds, what minimum sample size is needed to be 95% confident that the sample mean is within 1 pound of the true population mean?

Suppose the weights, in pounds, of the dogs in a

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lesmontoya10

01.01.2022

Mathematics

Step-by-step explanation:

Given : Standard deviation : $\sigma=3\text{ pounds}$

Margin of error : $E=\pm1\text{ pound}$

Significance level : $\alpha: 1-0.95=0.05$

Critical value : $z_{\alpha/2}=1.96$

The formula we use to find the minimum sample size required :-

$n=(\dfrac{z_{\alpha/2}\ \sigma}{E})^2$

i.e. $n=(\dfrac{(1.96)(3)}{1})^2=34.5744\approx35$

Hence, the minimum sample size is needed to be 95% confident that the sample mean is within 1 pound of the true population mean =35

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BABA761

05.08.2020

Mathematics

Columbia Records unveiled the LP (a vinyl record) in the Waldorf Astoria on June 18, 1948, in two formats: 10 inches in diameter, matching that of 78 rpm singles, and ... If the thickness of one vinyl record is 0.112∈, then determine the difference in volumes between the 10 inch and 12 inch records

Step-by-step explanation:

Here idk

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Suppose the weights, in pounds, of the dogs in a city are normally distributed. if the population standard deviation is 3 pounds, what minimum sample size is needed to be 95% confident that the sample mean is within 1 pound of the true population mean?

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