91影视

Population mean $\left(渭\right)=28$.

Population standard deviation $\left(蟽\right)=10$.

Sample size $\left(n\right)=500$.

The population is not approximately normally distributed, according to the data. The required probability can't be estimated since the population isn't normal.

Population mean $\left(渭\right)=28$,

Population standard deviation $\left(蟽\right)=10$,

Sample size $\left(n\right)=500$.

The mean and standard deviation can be calculated as:

${渭}_{\stackrel{炉}{x}}=渭$

$渭=28$

$=\frac{10}{\sqrt{500}}$

$=0.4772$

The required mean and standard deviations are $28$and $0.4772$respectively.

Population mean $\left(渭\right)=28$.

Population standard deviation $\left(蟽\right)=10$.

Sample size $\left(n\right)=500$.

The central limit theorem states that if the sample size is at least $30$, the sampling distribution of the sample mean would follow the normal distribution.

Population mean $\left(渭\right)=28$,

Population standard deviation $\left(蟽\right)=10$,

Sample size $\left(n\right)=500$.

The probability that the average fee will exceed $\$29$can be estimated as follows:

$P(\stackrel{炉}{x}>29)=P\left(Z>\frac{29-28}{\frac{10}{\sqrt{500}}}\right)$

$=P(Z>2.24)$

$=0.0125$