a. From the following information, please identify the null and alternative hypotheses. b. Summarize and interpret those values, including the confidence level, alpha, critical value, test statistics, and the p-value. c. show the solution of the hypotheses test and provide the calculated p-value.

H0: m_PopMean = m_ProposedPopMean

m_{PopMean}=m_{ProposedPopMean}

mPopMean=3092.85904496

t=\frac{m_{sample}-m_{ProposedPopMean}}{s_{n}}

t=0.61676929501

a=0.05

Left-Tailed Test m_PopMean < m_ProposedPopMean

l_{crit}=\operatorname{tdist}\left(n-1 ight).\operatorname{inversecdf}\left(a ight)

lcrit=-1.71088207991

tdist (n-1)

min= -x_____max= lcrit_____

=0.05

Right-Tailed Test m_PopMean > m_ProposedPopMean

rcrit=1.71088207991

tdist(n-1)

min=rcrit____max=x____

=0.05

Two-Tailed Test m_PopMean m_ProposedPopMean

l_{a2}=\operatorname{tdist}\left(n-1 ight).\operatorname{inversecdf}\left(\frac{a}{2} ight)

la2=2.06389856163

r_{a2}=\operatorname{tdist}\left(n-1 ight).\operatorname{inversecdf}\left(1-\frac{a}{2} ight)

ra2=2.06389856163

tdist (n-1)

min=-x____ max=la2____

tdist(n-1)

min=ra2____ max=x_____

{ttest}\left(D_{25},m_{ProposedPopMean} ight)

<0.72840

>0.27159

0.543190.54319