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Could you please solved both of these, i dont know why they are wong and this is my last question i can ask. please do both thanks

4. + 0/5 points Previous Answers PODStats 9.E.062. RMy Notes A manufacturer of small appliances purchases plastic handles for

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Answer #1

The following information is provided,
Significance Level, α = 0.05, Margin of Error, E = 0.05

The provided estimate of proportion p is, p = 0.5
The critical value for significance level, α = 0.05 is 1.96.

The following formula is used to compute the minimum sample size required to estimate the population proportion p within the required margin of error:
n >= p*(1-p)*(zc/E)^2
n = 0.5*(1 - 0.5)*(1.96/0.05)^2
n = 384.16

Therefore, the sample size needed to satisfy the condition n >= 384.16 and it must be an integer number, we conclude that the minimum required sample size is n = 385
Ans : Sample size, n = 385

#2.
The following information is provided,
Significance Level, α = 0.01, Margin or Error, E = 0.1, σ = 0.5


The critical value for significance level, α = 0.01 is 2.58.

The following formula is used to compute the minimum sample size required to estimate the population mean μ within the required margin of error:
n >= (zc *σ/E)^2
n = (2.58 * 0.5/0.1)^2
n = 166.41

Therefore, the sample size needed to satisfy the condition n >= 166.41 and it must be an integer number, we conclude that the minimum required sample size is n = 167
Ans : Sample size, n = 167

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