MAXIMA :: quantile_normal

quantile_normal

Estimation and testing of the population mean when there is only one population (population variance is known)

$$X:32.3,27.0,30.5,36.5,36.2,30.7,30.5,31.0,24.3,27.7$$

head dispersion:

$${\sigma }^2=9$$

Point Estimation of Mother Mean

point estimate:

$$\overline{x}=30.67$$

Interval estimation with 95% confidence rate

Interval Estimation:

$$(\overline{x}-1.960\sqrt{\frac{{\sigma }^2}{n}},\overline{x}+1.960\sqrt{\frac{{\sigma }^2}{n}})=(28.81,32.53)$$

rejection zone

$$|u_0|\geqq u(0.05)=1.960$$

test statistic

$$u_0=\frac{\overline{x}-{\mu }_0}{\sqrt{\frac{{\sigma }_0^2}{n}}}=0.706$$

It cannot be said that the population mean is not μ0=30.

quantile_normal

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