Mathematics: What is slope intercept form?

Step-by-step explanation:Given : Sample size : Sample mean : Standard deviation : Significance level : Critical value : Formula to find the confidence interval for population mean :-Hence, a 95% confidence interval for the population mean =...

What is slope intercept form? - id4078484, biancasamadp3usfw

Ответ:

kotetravels10

15.03.2022

Mathematics

$(24.28,\ 27.72)$

Step-by-step explanation:

Given : Sample size : n=50

Sample mean : $\overline{x}=26$

Standard deviation : $\sigma =6.2$

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

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

Formula to find the confidence interval for population mean :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=26\pm(1.96)\dfrac{6.2}{\sqrt{50}}\\\\\approx26\pm1.72\\\\=(26-1.72,\ 26+1.72)\\\\=(24.28,\ 27.72)$

Hence, a 95% confidence interval for the population mean = $(24.28,\ 27.72)$

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