Reference no: EM13689932

10. Suppose the number of beds filler per day in a medium-sized hospital is normally distributed. A hospital administrator tells the board of directors that, on the average, at least 185 beds are filled on any given day. One of the board members believes this figure is inflated, and she manages to secure a random sample of figures for 16 days. The data are shown here. Use a=.025 and the sample data to test whether the hospital administrator's statement is false. Assume the number of filled beds per day is normally distributed. Select the appropriate hypothesis test and complete the analysis using critical values and confirm using p-values. Number of Beds Occupied per Day: 
173 149 166 180 
189 170 152 194 
177 169 188 160 
199 175 172 187 
a.) 
Level of Significance 0.0250 
Sample Size 16.0000 
Sample Mean 175.0000 
Sample Standard Deviation 14.2829 

Intermediate Calculations
Standard Error of the Mean 3.5707 
Degrees of Freedom 15.0000 
t Test Statistic -2.8006 

One-Tail Test
Critical Value 2.1314 
p-Value 0.0067 
Two-Tail Test
Critical Value 2.4899 
p-Value 0.0134 

b.) 
Level of Significance 0.0250 
Population Standard Deviation 14.2829 
Sample Size 16.0000 
Sample Mean 175.0000 

Intermediate Calculations
Standard Error of the Mean 3.5707 
Z Test Statistic -2.8006 

Two-Tail Test
Lower Critical Value 2.2414 
p-Value 0.0051 
One-Tail Test
Critical Value 1.9600 
p-Value 0.0026